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Looking for recommendations for good maths books? In these pages I'm going to set out my recommendations for the best maths books for a variety of purposes. There are lists of great wider reading maths books, books that would make great gifts for mathematically minded students and books to help you with A-levels, puzzle and maths challenge books and books to prepare for university mathematics and beyond. Please use the Amazon links to buy the books if you have found these pages useful!

Have I missed your favourite maths book? Get in touch via the contact page and let me know!

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Popular maths and puzzle books:

A level and university:

Teaching and general reading:

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Looking for recommendations for good maths books? In these pages I'm going to set out my recommendations for the best maths books for a variety of purposes. There are lists of great wider reading maths books, books that would make great gifts for mathematically minded students and books to help you with A-levels, puzzle and...

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Here is a list of books that we would recommended for young people who are interested in mathematics. They are grouped into three different categories:

History of Mathematics

Recreational

Thinking Mathematically

We have given each book a lower age band based on the content and language used in the book and have presented them in ascending order of age. This is merely a guideline and you are welcome to make your own judgements on whether or not a book is suitable.

If you'd like to see some book recommendations for younger learners, take a look at the list of books compiled by our Primary team.

Students considering studying Maths or a related subject at university might be interested in the Cambridge Mathematical Reading List, which contains a wide range of suggested books including historical, recreational and technical maths books.

There are lots of maths podcasts you can listen to. Why not try: BBC's More or Less podcast Numberphile's videos and postcasts.

History of Mathematics

The Boy Who Loved Math: The Improbable Life of Paul ErdÃ¶s

Age 7+ Most people think of mathematicians as solitary, working away in isolation. And, it's true, many of them do. But Paul ErdÃ¶s never followed the usual path. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive in his head. But he didn't learn to butter his own bread until he turned twenty. Instead, he traveled around the world, from one mathematician to the next, collaborating on an astonishing number of publications. With a simple, lyrical text and richly layered illustrations, this is a beautiful introduction to the world of math and a fascinating look at the unique character traits that made "Uncle Paul" a great man.

Blockhead: The Life of Fibonacci

Age 7+ As a young boy in medieval Italy, Leonardo Fibonacci thought about numbers day and night. He was such a daydreamer that people called him a blockhead. When Leonardo grew up and traveled the world, he was inspired by the numbers used in different countries. Then he realized that many things in nature, from the number of petals on a flower to the spiral of a nautilus shell, seem to follow a certain pattern. The boy who was once teased for being a blockhead had discovered what came to be known as the Fibonacci Sequence!

Infinity and Me

Uma can't help feeling small when she peers up at the night sky. She begins to wonder about infinity. Is infinity a number that grows forever? Is it an endless racetrack? Could infinity be in an ice cream cone? Uma soon finds that the ways to think about this big idea may just be . . . infinite.

On a Beam of Light: A Story of Albert Einstein
Age 7+
Travel along with Einstein on a journey full of curiosity, laughter, and scientific discovery. Parents and children alike will appreciate this moving story of the powerful difference imagination can make in any life.

50 Mathematical Ideas You Really Need to Know by Tony Crilly

In this book, Professor Tony Crilly explains in 50 clear and concise essays the mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us. Packed with diagrams, examples and anecdotes, this book is the perfect overview of this often daunting but always essential subject. For once, mathematics couldn't be simpler.

The Math Book by Clifford A Pickover

Age 12+

Mathematic's infinite mysteries and beauty unfold in this book. Beginning millions of years ago with ancient ant odometers and moving through time to our modern-day quest for new dimensions, prolific polymath Clifford Pickover covers 250 milestones in mathematical history. Among the numerous concepts readers will encounter as they dip into this inviting anthology: cicada-generated prime numbers, magic squares, the discovery of pi and calculus, and the butterfly effect. Each topic is presented in a lavishly illustrated spread, including formulas, fascinating facts about scientists' lives and real-world applications of the theorems.

Alex's Adventures in Numberland by Alex Bellos

Age 13+

The world of maths can seem mind-boggling, irrelevant and, sometimes, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.

The Monty Hall Problem: Beyond Closed Doors by Rob Deaves

Age 14+

This short book explores the Monty Hall dilemma, a well known mathematical puzzle. The original problem, the controversy surrounding it and its solution are discussed. Further, the boundaries of the problem are expanded to consider prior knowledge and host intention. This book should be of interest to those who enjoy problem solving.

The Language of Mathematics by Keith Devlin

Age 14+

In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life. Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, this book celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

The Music of the Primes by Marcus Du Sautoy

Age 14+

How can one predict when the next prime number will occur? Is there a formula which could generate primes? These apparently simple questions have confounded mathematicians ever since the Ancient Greeks. In 1859, the brilliant German mathematician Bernhard Riemann put forward a hypothesis which finally seemed to reveal a magical harmony at work in the numerical landscape. The promise that these eternal, unchanging numbers would finally reveal their secret thrilled mathematicians around the world. Yet Riemann never publicly provided a proof for his hypothesis and his housekeeper burned most of his personal papers on his death. Whoever cracks Riemann's hypothesis will go down in history, for it has implications far beyond mathematics. In business, it plays a central role in security and e-commerce. In science, it brings together vastly different areas, with critical ramifications in Quantum Mechanics, Chaos Theory and the future of computing. Pioneers in each of these fields are racing to crack the code and a prize of $1 million has been offered to the winner. As yet, it remains unsolved.

Journey Through Genius: The Great Theorems of Mathematics by William Dunham

Age 14+

In this book Dunham treats mathematical theorems as creative works of art. He places each theorem within its historical context and explores the very human and often turbulent life of the creator. He studies such great mathematicians as Archimedes, Gerolamo Cardano and Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.

The Mathematical Universe: Alphabetical Journey Through the Great Proofs, Problems & Personalities by William Dunham

Age 14+

In this book, Dunham takes us through a tantalizing selection of the great proofs, notorious disputes, and intriguing unsolved mysteries of the mathematical universe. Subjects range from the golden age of Greek geometry to the furthest frontier of infinite series. Dunham explores more than five thousand years of mathematical history, digging into the earliest records in Egypt, Babylon, India, and China, and turning up surprising tales and tidbits from modern times. All along the way, Dunham portrays the great masters of mathematics at their work. In colorful anecdotes, the brilliant - often eccentric - luminaries chart the course of mathematical progress. This book is accessible to any reader with a basic knowledge of algebra and geometry. You will come away from this exhilarating book with a keen sense of the power and splendor of the magical mathematical world.

Chaos by James Gleick

Age 14+

Chaos is what happens when the behaviour of a system gets too complicated to predict; the most familiar example is the weather, which apparently cannot be forecast accurately more than five days ahead. This book tells the story so far in the study of this new field of Physics.

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace by Leonard Mlodinow

Age 14+

Anyone who thought geometry was boring or dry should prepare to be amazed. Despite its worthy cover this book is exactly what its title says - a story - and the plot of this story involves life, death and revolutions of understanding and belief. It stars the some of the most famous names in history, from Euclid who laid the logical foundations, to Albert Einstein, who united space and time in a single non-Euclidean geometry. It offers an alternative history of mathematics, revealing how simple questions anyone might ask about space - in the living room or in some other galaxy - have been the hidden engines of the highest achievements in science and technology.

Closing the Gap: The Quest to Understand Prime Numbers by Vicky Neale

Age 14+

Prime numbers have intrigued, inspired and infuriated mathematicians for millennia. Every school student studies prime numbers and can appreciate their beauty, and yet mathematicians' difficulty with answering some seemingly simple questions about them reveals the depth and subtlety of prime numbers. In this book, Vicky Neale charts the recent progress towards proving the famous Twin Primes Conjecture, and the very different ways in which the breakthroughs have been made: a solo mathematician working in isolation and obscurity, and a large collaboration that is more public than any previous collaborative effort in mathematics. Interleaved with this story are highlights from a significantly older tale, going back two thousand years and more, of mathematicians' efforts to comprehend the beauty and unlock the mysteries of the prime numbers.

Fermat's Last Theorem by Simon Singh

Age 14+

The story of the solving of a puzzle that has confounded mathematicians since the 17th century. In 1963, a schoolboy browsing in his local library stumbled across the world's greatest mathematical problem: Fermat's Last Theorem, a puzzle that every child can understand but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed that he would crack it. Wiles's lifelong obsession with a seemingly simple challenge set by a long-dead Frenchman is an emotional tale of sacrifice and extraordinary determination. In the end, Wiles was forced to work in secrecy and isolation for seven years, harnessing all the power of modern maths to achieve his childhood dream. Many before him had tried and failed, including a 18-century philanderer who was killed in a duel. An 18-century Frenchwoman made a major breakthrough in solving the riddle, but she had to attend maths lectures at the Ecole Polytechnique disguised as a man since women were forbidden entry to the school.

The Code Book by Simon Singh

Age 14+

The Code Book is a history of man's urge to uncover the secrets of codes, from Egyptian puzzles to modern day computer encryptions. As in Fermat's Last Theorem, Simon Singh brings life to an astonishing story of puzzles, codes, languages and riddles that reveals man's continual pursuit to disguise and uncover, and to work out the secret languages of others. Codes have influenced events throughout history, both in the stories of those who make them and those who break them. The betrayal of Mary Queen of Scots and the cracking of the enigma code that helped the Allies in World War II are major episodes in a continuing history of cryptography. In addition to stories of intrigue and warfare, Simon Singh also investigates other codes, the unravelling of genes and the rediscovery of ancient languages and most tantalisingly, the Beale ciphers, an unbroken code that could hold the key to a 20 million dollar treasure.

The Penguin Dictionary of Curious and Interesting Numbers by David Wells

Age 14+
Infinite Powers by Steven Strogatz
Look up 1729 to see why it is 'among the most famous of all numbers'. Look up 0.7404 ($= \frac{\pi}{18}$) to discover that this is the density of closely packed identical spheres in what is believed by many mathematicians (though it was at that time an unproven hypothesis) and is known by all physicists and greengrocers to be the optimal packing. Look up Graham's number (the last one in the book), which is inconceivably big: even written as a tower of powers ($9 ^{9^ {9 ^\cdots}}$) it would take up far more ink than could be made from all the atoms in the universe. It is an upper bound for a quantity in Ramsey theory whose actual value is believed to be about 6. A book to be dipped into at leisure.

Calculus has a fierce reputation as complicated, abstract and difficult, but Steven Strogatz tells the true story of its beauty and simplicity. Starting with the Ancient Greeks, calculus has tantilised and fascinated humanity for millenia. Its applications grew from teaching us how to determine the area of a circle with only sand and a stick to safely launching rockets into space. Without it, we wouldnâ€™t have mobile phones, TV, GPS, or ultrasound. This book explains the history of our relationship with calculus, and its relationship with infinity.

GÃ¶del, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter

Age 16+

Douglas Hofstadter's book is concerned directly with the nature of maps or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. GÃ¶del, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

The Great Mathematical Problems by Ian Stewart

Age 17+

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. This book explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the PoincarÃ© Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and problems which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Recreational

Can you Solve my Problems? by Alex Bellos

Age 11+

This book contains 125 of the world's best brainteasers from the last two millennia, taking us from ancient China to medieval Europe, Victorian England to modern-day Japan, with stories of espionage, mathematical breakthroughs and puzzling rivalries along the way. Some solutions rely on a touch of cunning, others call for creativity, others need mercilessly logical thought. All are guaranteed to sharpen your mind!

Snowflake Seashell Star by Alex Bellos and Edmund Harriss

Age 11+

This book is the first in a series of mathematical colouring books by Alex Bellos and mathematical artist, Edmund Hariss. It is full of intricate and divinely beautiful illustrations, using patterns such as loops, waves and spirals. Stretch your artistic talents and embrace mathematics' aesthetic and conceptual exquisiteness. In 80 glorious images, Alex will teach you how to convey the wonder of mathematics through colour and design. Snowflake, Seashell, Star is an incredible celebration of the overlaps between mathematics and art, learning and play, concentration and calm.

A Mathematical Pandora's Box by Brian Bolt

Age 11+

Through his own experience, Brian Bolt has discovered a worldwide interest in mathematical puzzles. Bolt not only uses them to stimulate creative thinking, but also to open up new areas of mathematics to the reader. This book contains 142 activities: in addition to puzzles, there are games, tricks, models and explanation of various phenomena. They range from number manipulation, through happy and amicable numbers, coin puzzles, picnicking bears and pentominoes, to building shapes with cubes. There is a detailed commentary at the end of the book, giving solutions and explanations, together with the occasional follow-up problem.

The Number Devil by Hans Magnus Enzensberger

Age 11+

The quirky and unusual story of a young boy who hates maths at school, but who discovers a new side to the subject when he meets an unusual mathematician in a dream. This book takes you on an adventure through creative mathematical thinking, with great illustrations along the way.

The Indisputable Existence of Santa Claus by Hannah Fry and Thomas OlÃ©ron Evans

Age 11+

How do you apply game theory to select who should be on your Christmas shopping list? Can you predict Her Majesty's Christmas Message? Will calculations show Santa is getting steadily thinner - shimmying up and down chimneys for a whole night - or fatter - as he tucks into a mince pie and a glass of sherry in billions of houses across the world? Full of diagrams, sketches and graphs, beautiful equations, Markov chains and matrices, this book brightens up the bleak midwinter with stockingfuls of mathematical marvels. Mathematics has never been merrier.

Aha! Insight & aha! Gotcha by Martin Gardner

Age 11+

Previously published separately, the two books aha! Gotcha and aha! Insight have been combined as a single volume. The aha! books, as they are referred to by fans of Martin Gardner, contain 144 wonderful puzzles from the reigning king of recreational mathematics. In this combined volume, you will find puzzles ranging over geometry, logic, probability, statistics, number, time, combinatorics, and word play. Gardner calls these puzzles aha! problems, that 'seem difficult, and indeed are difficult if you go about trying to solve them in traditional ways. But if you can free your mind from standard problem solving techniques, you may be receptive to an aha! reaction that leads immediately to a solution. Don't be discouraged if, at first, you have difficulty with these problems. After a while you will begin to catch the spirit of offbeat, nonlinear thinking, and you may be surprised to find your aha! ability improving.'

Entertaining Mathematical Puzzles by Martin Gardner

Age 11+

Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem.

My Best Mathematical and Logic Puzzles by Martin Gardner

Age 11+

Over a period of 25 years as author of the Mathematical Games column for Scientific American, Martin Gardner devoted a column every six months or so to short math problems or puzzles. This volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.

The Thrilling Adventures of Lovelace and Babbage by Sydney Padua

Age 11+

In this book Sydney Padua transforms one of the most compelling scientific collaborations into a hilarious set of adventures, starring Ada Lovelace and Charles Babbage. This book presents a delightful alternate reality in which Lovelace and Babbage build the Difference Engine and use it to create runaway economic models, battle the scourge of spelling errors, explore the wider realms of mathematics and, of course, fight crime - for the sake of both London and science. Extremely funny and utterly unusual, this book comes complete with historical curiosities, extensive footnotes and never-before-seen diagrams of Babbage's mechanical, steam-powered computer. And ray guns.

The 'Uncle Albert' Series by Russell Stannard

Age 11+

A best selling science/adventure series, beginning with 'The Time and Space of Uncle Albert'. Uncle Albert and his intrepid niece, Gedanken, enter the dangerous and unknown world of a thought bubble. Their mission: to unlock the deep mysteries of Time and Space... Discover why you can't break the ultimate speed barrier, how to become older than your mother, how to put on weight without getting fat, and how to live forever without even knowing it. Other books in the series include: 'Black Holes and Uncle Albert' and 'Uncle Albert and the Quantum Quest'.

Professor Stewart's Cabinet of Mathematical Curiosities by Ian Stewart

Age 11+

A selection of mathematical puzzles, stories, tricks and short articles - great to read all in one go, or to dip into. The content varies between simple logic puzzles to introductions to more advanced topics such as the Four Colour Theorem, which tells us that we can colour in any map using only four colours, so that no bordering countries have the same colour.

Book of Curious & Interesting Mathematics by David Wells

Age 11+

A collection of strange mathematical facts and stories. This anthology covers a whole range of ages, maths and mathematicians, and includes probability paradoxes, jumbled Shakespearean sonnets, record-breaking monkeys and typewriters, and theories of big game hunting. Also featured are stories of people who looked for logical loopholes in the American Constitution or calmed their nerves with algebra.

Book of Curious & Interesting Puzzles by David Wells

Age 11+

This collection by best-selling author David Wells, a Cambridge math scholar and teacher, includes more than 560 puzzles, from the "mind sharpeners" of a medieval monk to the eitheenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None require any mathematics beyond the most elementary algebra and geometry - and few require even that. Complete answers appear at the end.

Mathematics, Magic and Mystery by Martin Gardner

Age 12+

Famed puzzle expert Martin Gardner explains the mathematics behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. Each of these are actually demonstrations of probability, sets, number theory, topology and other braches of mathematics. No skill at sleight of hand is needed to perform the more than 500 tricks described in this book because mathematics guarantees their success.

How Many Socks Make a Pair? by Rob Eastaway

Age 13+

Can maths be creative? This book sets out to prove that it can, through a selection of short articles on surprising maths in everyday life. Through lots of intriguing problems, involving card tricks, polar bears and, of course, socks, Rob Eastaway shows shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects.

Why do Buses Come in Threes? by Rob Eastaway and Jeremy Wyndham

Age 13+

With a foreword by Tim Rice, this book will change the way you see the world. Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column? These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves - or discover for the first time - that maths is relevant to almost everything we do. Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.

Flatterland by Ian Stewart

Age 13+

In 1884, Edwin A. Abbott published â€œFlatlandâ€Â; a brilliant novel about mathematics and philosophy that charmed and fascinated all of England. Now, Ian Stewart has written a fascinating, modern sequel to Abbott's book. Through larger-than-life characters and an inspired story line, "Flatterland" explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications.

The Liar Paradox and the Towers of Hanoi: 10 Greatest Math Puzzles of All Time by Marcel Danesi

Age 14+

Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle experts on a tour of the world's most enduringly intriguing braintwisters, from KÃƒÂ¶nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours.

The Number Mysteries by Marcus du Sautoy

Age 14+

An exploration of surprising ways maths occurs in our everyday lives, centred around five famous unsolved problems in mathematics. Topics include how to detect an art forgery, winning strategies in Monopoly, and how to crack a code. Sprinkled with games and links to interactive online content so you can try out some of the ideas for yourself!

Things to Make and Do in the Fourth Dimension by Matt Parker

Age 14+

This is the complete guide to exploring the fascinating world of maths you were never told about at school. Stand-up comedian and mathematician Matt Parker uses bizarre Klein Bottles, unimaginably small pizza slices, knots no one can untie and computers built from dominoes to reveal some of the most exotic and fascinating ideas in mathematics. Starting with simple numbers and algebra, this book goes on to deal with inconceivably big numbers in more dimensions than you ever knew existed. And always with something for you to make or do along the way.

How to Cut a Cake: and Other Mathematical Conundrums by Ian Stewart

Age 14+

In this book are twenty more curious puzzles and fantastical mathematical stories from one of the world's most popular and accessible writers on mathematics. This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each chapter - with titles such as, "How to Play Poker By Post" and "Repealing the Law of Averages" - presents a fascinating mathematical puzzle that is challenging, fun, and introduces the reader to a significant mathematical problem in an engaging and witty way. Illustrated with clever and quirky cartoons, each tale will delight those who love puzzles and mathematical conundrums.

Games and Mathematics by David Wells

Age 14+

The appeal of games and puzzles is timeless and universal. In this book, David Wells explores the fascinating connections between games and mathematics, proving that mathematics is not just about tedious calculation but imagination, insight and intuition. The first part of the book introduces games, puzzles and mathematical recreations, including knight tours on a chessboard. The second part explains how thinking about playing games can mirror the thinking of a mathematician, using scientific investigation, tactics and strategy, and sharp observation. Finally the author considers game-like features found in a wide range of human behaviours, illuminating the role of mathematics and helping to explain why it exists at all. This thought-provoking book is perfect for anyone with a thirst for mathematics and its hidden beauty; a good high school grounding in mathematics is all the background that is required, and the puzzles and games will suit pupils from 14 years.

Mathematical Puzzles: A Connoisseur's Collection by Peter Winkler

Age 16+

Collected over several years by Peter Winkler, dozens of elegant, intriguing challenges are presented in this book. The answers are easy to explain, but without this book, devilishly hard to find. Creative reasoning is the key to these puzzles. No involved computation or higher mathematics is necessary, but your ability to construct a mathematical proof will be severly tested - even if you are a professional mathematician. For the truly adventurous, there is even a chapter on unsolved puzzles.

Thinking Mathematically

Elastic Numbers by Daniel Griller

Age 11+

Beautifully crafted and immensely enjoyable, the problems in this book require minimal technical knowledge, being accessible to young secondary school pupils. However, there is an astonishing range in difficulty; while some of the problems are fairly straightforward, others are significantly tougher, with a great deal of ingenuity and clarity of thought needed to make progress. Whether you are a student preparing for a maths competition, an educational establishment seeking to supplement your problem solving resources, or an individual looking for a different sort of challenge, Elastic Numbers is a unique collection, and will push you to the very edge of your abilities.

Thinking Mathematically by Mason, Burton & Stacey

Age 11+

Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.

Finding Moonshine: A Mathematician's Journey Through Symmetry by Marcus Du Sautoy

Age 13+

This book tells the story of one of the biggest adventures in mathematics: the search for symmetry. This is the story of how humankind has come to its understanding of the bizarre world of symmetry - a subject of fundamental significance to the way we interpret the world around us. Our eyes and minds are drawn to symmetrical objects, from the sphere to the swastika, from the pyramid to the pentagon. 'Symmetry' is all-pervasive: in chemistry the concept of symmetry explains the structure of crystals; in evolutionary biology, the natural world exploits symmetry in the fight for survival; symmetry and the breaking of symmetry are central to ideas in art, architecture and music; the mathematics of symmetry is even exploited in industry, for example to find efficient ways to store more music on a CD or to keep your mobile phone conversation from cracking up through interference.

Mathematics for the Curious by Peter Higgins

Age 13+

When do the hands of a clock coincide? How likely is it that two children in the same class will share a birthday? How do we calculate the volume of a doughnut? Mathematics for the Curious provides anyone interested in mathematics with a simple and entertaining account of what it can do. Author Peter Higgins gives clear explanations of the more mysterious features of childhood mathematics as well as novelties and connections that prove that mathematics can be enjoyable and full of surprises. Topics include: the truth about fractions, ten questions and their answers, and the golden ratio. Higgins poses entertaining puzzles and questions tempting the reader to ponder math problems with imagination instead of dread. Mathematics for the Curious is an accessible introduction to basic mathematics for beginning students and a lively refresher for adults.

Mathematics for the Imagination by Peter Higgins

Age 13+

Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind. This is a highly involving book which encourages the reader to enter into the spirit of mathematical exploration.

Mathematics and the Physical World by Morris Kline

Age 13+

A stimulating account of development of basic mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations and non-Euclidean geometries. Also describes how maths is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, and other aspects of physics.

Mathematics: A Very Short Introduction by Timothy Gowers

Age 14+

Tim Gowers is a Fields Medalist (the Fields medal is the mathematical equivalent of the Nobel prize), so it is not at all surprising that what he writes is worth reading. What is surprising is the ease and charm of his writing. He touches lightly many areas of mathematics, some that will be familiar (Pythagoras) and some that may not be (manifolds) and has something illuminating to say about all of them.

Excursions in Geometry by C. Stanley Ogilvy

Age 14+

In this book, Professor Ogilvy demonstrates the mathematical challenege and satisfaction to be had from geometry, the only requirement being two simple implements (straight-edge and compass) and a little thought. Topics including harmonic division and Apollonian circles, inversive geometry, the hexlet, conic sections, projective geometry, the Golden Section and angle trisection are addressed in a way that brings out the true intellectual excitement inherent in each. Also included are some unsolved problems of modern geometry.

Excursions in Mathematics by C. Stanley Ogilvy

Age 14+

This book offers a fascinating glimpse into the world of mathematics and mathematicians. It is designed for the reader who has no advanced mathematical background of special aptitude, but who wants to acquaint him or herself with the intellectually stimulating and aesthetically satisfying aspects of the subject. After illuminating the role of the mathematician and dispelling several popular misconceptions about the nature of mathematics, Professor Ogilvy takes you on a lively tour of the four basic branches of the subject: number theory, algebra, geometry and analysis. Focusing on the interesting, and even amusing, aspects of mathematics, he points out the interconnections between the branches and presents mathematics as a vital subject whose frontiers are continually expanding. Many illustrations and examples illuminate classic aspects of the subject as well as recent advances.

Excursions in Number Theory by C. Stanley Ogilvy and John Anderson

Age 14+

This delightful volume, by two well-known mathematicians, invites readers to join a challenging expedition into the mystery and magic of number theory. No special training is needed - just high school mathematics, a fondness for figures and an inquisitive mind. Beginning with familiar notions, the authors skillfully transport the reader to higher realms of mathematics, developing the necessary concepts along the way. Included are thorough discussions of prime numbers, number patterns, irrationals and iterations and calculating prodigies, among other topics.

Q.E.D. - Beauty in Mathematical Proof by Burkard Polster

Age 14+

Which famous proof did Archimedes inscribe on his tombstone? How and why do knots make perfect pentagons? Have you ever seen a proof so completely that it is just obvious? In this delicious little book, top down-under mathemagician Dr. Polster presents many of the most visually intuitive and exciting proofs from the dusty annuals of mathematical history. You can test your ability to follow the logic, leap into mathemagnosis and experience eureka-moment after eureka-moment.

How to Solve It by George Polya

Age 14+

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft - indeed, brilliant - instructions on stripping away irrelevancies and going straight to the heart of the problem.

The Joy of X: A Guided Tour of Mathematics from One to Infinity by Steven Strogatz

Age 14+

Maths is everywhere, often where we don't even realise. Award-winning professor Steven Strogatz acts as our guide as he takes us on a tour of numbers that - unbeknownst to the unitiated - connect pop culture, literature, art, philosophy, current affairs, business and even every day life. In The Joy of X, Strogatz explains the great ideas of maths - from negative numbers to calculus, fat tails to infinity - with clarity, wit and insight. He is the maths teacher you never had and this book is perfect for the smart and curious, the expert and the beginner.

Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies by Alfred S Posamentier and Stephen Krulik

Age 15+

This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In so doing, the common less efficient approach is first mentioned and then the effective strategy is shown. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.

1089 and All That: A Journey into Mathematics by David Acheson

Age 15+

David Acheson's extraordinary little book makes mathematics accessible to everyone. From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes us to chaos theory and imaginary numbers. Every short chapter is carefully crafted to ensure that no one will get lost on the journey. Packed with puzzles and illustrated by world famous cartoonists, this is one of the most readable and imaginative books on mathematics ever written.

An Introduction to Mathematical Reasoning by Peter Eccles

Age 15+
Mathematics for Human Flourishing by Francis Su
The purpose of this book is to introduce the basic ideas of mathematical proof to students. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the classic proofs.

Can the study of mathematics enrich the heart as well as the mind? Francis Su explains how humans crave logic, beauty, truth and play, and that searching for these in mathematics is not only rewarding, but builds virtues in us that help us be better individuals and members of society. The book includes puzzles to draw everyone in to the enjoyment of mathematics, as part of his vision that mathematics should be shared by everyone.

What is Mathematics? by Richard Courant, Herbert Robbins and Ian Stewart

Age 16+

Written for beginners and scholars, for students and teachers, for philosophers and engineers, this book is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.

Towards Higher Mathematics: A Companion by Richard Earl

Age 16+

Containing a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university. The author covers substantial extension material using the language of sixth-form mathematics, thus enabling students to understand the more complex material. There are over 1500 carefully graded exercises, with hints included in the text, and solutions available online. Historical and contextual asides highlight each area of mathematics and show how it has developed over time.

The Art of the Infinite by Robert and Ellen Kaplan

Age 16+

This book unlocks the secrets of maths - revealing it to be our lost, native language, as much a part of us as the words we use every day. Number and form are the essence of our world: from the patterns of the stars to the pulses of the market, from the beats of our hearts to catching a ball or tying our shoelaces. Drawing on science, literature, history and philosophy, this book makes the rich patterns of maths brilliantly clear.

Algorithmic Puzzles by Anany & Maria Levitin

Age 16+

In this book, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies - exhaustive search, backtracking, and divide-and-conquer, among others - will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.

The Mathematics of Games and Gambling by Edward Packel

Age 16+

This book introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, craps, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. Game-related exercises are included and solutions to some appear at the end of the book.

How to Study for a Mathematics Degree by Lara Alcock

Age 17+

Every year, thousands of students go to university to study mathematics. Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. The mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining. This book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time.

How to Think Like a Mathematician by Kevin Houston

Age 17+

Looking for a head start in your undergraduate degree in mathematics? This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

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Here is a list of books recommended for young people who are interested in mathematics.

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These lower primary activities and games have interactive content. Have a play on a laptop, tablet or computer!

Older lower primary Flash-based interactives

The activities below are older resources which require Flash in order to run.

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These lower primary activities and games have interactive content. Have a play on a laptop, tablet or computer! The activities below are older resources which require Flash in order to run.

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We have a challenge a day for you throughout the summer break...

Each weekday, from 18 July to 2 September, a new interactive game or puzzle will appear on this page.

After you've had a go at the day's challenge you may be able to compare your approach to the solutions we have published, which are based on students' work.

You can also find Secondary Interactive Summer Challenges 2022.

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Primary Interactive Summer Challenges 2022

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We have a challenge a day for you throughout the summer break... Each weekday, from 18 July to 2 September, a new interactive game or puzzle will appear on this page. After you've had a go at the day's challenge you may be able to compare your approach to the solutions we have published, which are based on students' work.

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The Advanced Extension Award (AEA) in Mathematics is more challenging than an A-level in Mathematics or Further Mathematics, and as such can provide a good stepping stone to university-level mathematics or statistics courses.

To provide support to students thinking about taking an AEA in Mathematics, this page contains extended solutions for some past exams, the question papers for which can be downloaded from the Edexcel website. These solutions are intended to supplement the original mark schemes, which are also available on the Edexcel website.

Before consulting either the solutions or the mark schemes, however, we recommend that you attempt the questions yourself, as the main challenge is often working out what to do, and it is good to practise this!

We hope that the above solutions are clear and accurate, but if you spot any mistakes please contact Dr. David Croydon with details.

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The Advanced Extension Award (AEA) in Mathematics is more challenging than an A-level in Mathematics or Further Mathematics, and as such can provide a good stepping stone to university-level mathematics or statistics courses. To provide support to students thinking about taking an AEA in Mathematics, this page contains extended solutions for some past exams, the question papers for which can be downloaded from the Edexcel website.

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Also available on the Maths Emporium

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Mathematics pastpapers for AEA Exams. Well organised for students and teachers on all devices.

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REVISION COURSES - TUITION - FREE REVISION MATERIALS

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A Level Maths A* Questions - A Level Maths Revision

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This is a collection of questions chosen simply because they are difficult to do. They are taken from the CIE […]

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Revision website for A Level and Further Maths A Level

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GCSE Maths Takeaway

GCSE maths revision resources have been sorted by topic and include the new GCSE specification.

Choose items from the menu that you feel you need to work on. Do the questions, use the videos if needed and mark your work. Once you feel you are ready, take the quiz. Aim to get full marks on the quiz questions and make sure you explain each answer (this will mean you are more likely to remember - which is the point of revision!) Have fun!

A special thank you to KESH maths, CorbettMaths and Mrbartonmaths for some of these resources.

Found this page useful? Please like/share by using the buttons below..

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GCSE maths revision resources have been sorted by topic and include the new GCSE specification. Choose items from the menu that you feel you need to work on. Do the questions, use the videos if needed and mark your work. Once you feel you are ready, take the quiz.

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Rebecca Bollands tells us about the mathematics activities she has organised for her schools cluster

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"a-level further maths" "edexcel further maths" "gcse maths" "gcse maths grade 9"

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Postgrad Mathematician who wants to help others pass their GCSE and A-Level Exams On my channel you will find past paper solutions and tutorials for: GCSE Maths and Statistics A-Level Maths and Statistics A-Level Further Maths Undergrad Maths If you are doing any of these and want help then be sure to subscribe and stick around!

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A Level Maths Tutorial Videos (All) | A Level Maths Revision

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Subscribe to our YouTube Channel by clicking below to get notifications of our latest videos

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Share your videos with friends, family, and the world

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"gcse maths revision" "gcse maths" "gcse maths exam 2019" maths "gcse maths exam 2020" "maths exam 2019" "edexcel maths" "ocr maths" "aqa maths" "gcse maths ...

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Welcome to the TGMT YouTube channel, where education meets entertainment! We believe that learning should be accessible to everyone, regardless of financial background, and that's why we strive to provide high-quality educational content. Our mission is to make a positive impact on the world by helping students achieve their full potential.

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gcse physics chemistry aqa edexcel exam revision ocr-a "a-level biology" "a-level chemistry" "a-level psychology" "a-level sociology" "gcse biology" "predict...

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We provide a reliable, effective, and stress-free way to revise for your GCSE and A-Level exams. We are dedicated to helping you succeed in GCSE and A-Level exams. Covering Biology; Chemistry; Maths; English; Psychology; Sociology and Physics. Teaching Videos: Led by experienced teachers and examiners. These videos simplify even the most complex topics.

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Looking for reliable online Maths tutor in the UK? Our experienced tutors provide tailored, one-on-one support to help students of all levels achieve their academic goals.

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Share your videos with friends, family, and the world

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Books, Podcasts, TV and Radio

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Hannah Fry is a Professor in the Mathematics of Cities. She is a mathematician, a best-selling author, an award winning science presenter and the host of numerous popular podcasts and television shows.

About Hannah

Read more...

TV & Radio

Read more...

Books

Read more...

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Mathematician, science presenter and all-round badass

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Hannah Fry is a Professor in the Mathematics of Cities. She is a mathematician, a best-selling author, an award winning science presenter and the host of numerous popular podcasts and television shows. About Hannah Read more… TV & Radio Read more… Books Read more…

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What jumps to your mind when thinking about creativity? Chances are mathematics wouldn't be at the top of the list for many people. Yet, it takes creativity to solve some of math's most challenging problems.

Philosophers, scientists and mathematicians used creativity to solve seemingly impossible problems. From Galileo to Leonardo Da Vinci to Einstein, creativity has been at the heart of the scientific world for centuries. Yet, very rarely it has been associated with creative endeavours, let alone considered an art. But could maths actually be as creative as the arts? And if so, how would it differ from other obvious art forms like dance, music, and paintings?

In this fascinating conversation, leading mathematician Dr Eugenia Cheng, explains that maths is about much more than numbers, and unravels how it could actually be more of an art than a science.
Read this talk's transcript

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What jumps to your mind when thinking about creativity? Chances are mathematics wouldn't be at the top of the list for many people. Yet, it takes creativity to solve some of math's most challenging problems. Philosophers, scientists and mathematicians used creativity to solve seemingly impossible problems. From Galileo to Leonardo Da Vinci to Einstein, creativity has been at the heart of the scientific world for centuries.

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Please click on the photo for the level you wish to study or use the navigation on the top left "Mathematics video site":

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Shop online

Find the perfect gift for yourself, for the science enthusiast in your life, or for the science enthusiast of the future with our science-themed clothing and accessories.

a man and a woman are wearing black t-shirts, the man has a white drawing of the standard model on his shirt, the woman has a colourful version of the standard model on her shirt

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Discover science directly from the minds of the world's leading scientists and thinkers with our talks, discussions and family-friendly events.

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Working with the Maths Hubs programme, we have produced a set of questions, tasks and activities supporting teaching for mastery. These are mapped against the key topics of the primary National Curriculum for maths. They will help you assess the degree to which your pupils have mastered the curriculum.

The materials have been produced in collaboration with Oxford University Press. They are available for each of Years 1 to 6 inclusive.

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Questions, tasks and activities supporting teaching for mastery.

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These PowerPoints include links to relevant resources and pupil-facing activities. They are ideal to be used with small groups of pupils to review, practise, and consolidate learning. The five-minute video at the foot of this page demonstrates this in more detail.

The pupil activities are intended to stimulate interaction and discussion. We suggest you use them flexibly and are guided by pupil response, repeating activities where pupils lack confidence. The ready-to-progress criteria are intended as goals for the end of the year. When used at the start of a year, you might want to use the materials from the previous year group. If you are teaching Year 4 for example, the Year 3 materials are used to review, practice and consolidate learning from the previous year.

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79 PowerPoints, each one focusing on one of the ready-to-progress criteria in the new DfE maths guidance for KS1 and KS2

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This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Read Lynne's article which discusses the place of problem solving in the new curriculum and sets the scene. In the second article, Jennie offers you practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers. The fourth article builds on the third by discussing what we mean by problem-solving skills and how NRICH can help children develop these skills. Scroll down to see groups of tasks from the site which will give learners experience of specific skills.

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This feature details how NRICH can help you embed a problem-solving approach in your classroom.

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I See Maths - be inspired by mathematics

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Giving teachers the ideas, resources and expertise to create a practical, visual and exciting primary maths curriculum.

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Developing opportunities and ensuring progression in the development of reasoning skills.

The aims of the National Curriculum are to develop fluency and the ability to reason mathematically and solve problems. Reasoning is not only important in its own right but impacts on the other two aims. Reasoning about what is already known in order to work out what is unknown will improve fluency; for example if I know what 12 × 12 is, I can apply reasoning to work out 12 × 13. The ability to reason also supports the application of mathematics and an ability to solve problems set in unfamiliar contexts.

Research by Nunes (2009) identified the ability to reason mathematically as the most important factor in a pupil's success in mathematics. It is therefore crucial that opportunities to develop mathematical reasoning skills are integrated fully into the curriculum. Such skills support deep and sustainable learning and enable pupils to make connections in mathematics.

This resource is designed to highlight opportunities and strategies that develop aspects of reasoning throughout the National Curriculum programmes of study. The intention is to offer suggestions of how to enable pupils to become more proficient at reasoning throughout all of their mathematics learning rather than just at the end of a particular unit or topic.

We take the Progression Map for each of the National Curriculum topics, and augment it with a variety of reasoning activities (shaded sections) underneath the relevant programme of study statements for each year group. The overall aim is to support progression in reasoning skills. The activities also offer the opportunity for children to demonstrate depth of understanding, and you might choose to use them for assessment purposes as well as regular classroom activities.

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Developing opportunities and ensuring progression in the development of reasoning skills

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Maths – No Problem! Maths Mastery for Primary School Education

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Maths — No Problem! Maths Mastery for Primary School Education

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Maths — No Problem! is a world leader in Primary Maths Mastery Education and provides schools with a complete curriculum programme as recognised by the DfE.

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The Mathteasers series from Maths — No Problem!

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Keep advanced learners engaged with the Mathsteasers Series. Featuring questions developed by world-renowned mathematician Tony Gardiner, the series follows the 2014 English national curriculum.

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"The choice provided for every year group, block and step is outstanding: from fluency work to discussion problems. I can always find tasks to support, challenge, engage and inspire my learners." Emily
Teacher - Bradford

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Home - Primary Teaching Resources, Worksheets & Activities

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Our selection of worksheets, resources and activities created by teachers for teachers. Join Over 100,000 members with over 8,000 resources.

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search

Enriching mathematics for all learners

A free-to-use collection of mathematics activities, lessons and problems designed to nurture curious, resourceful and confident learners of mathematics. Produced by The University of Cambridge.

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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Materials to help teachers develop a mastery approach in their classrooms and schools

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At youcubed, we inspire, educate and empower teachers of mathematics, transforming the latest research on mathematics learning into accessible and practical forms.

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Don't spend hours marking books

Diagnostic Questions is a world leading assessment tool that provides detailed insights into student understanding in a fraction of the time, simultaneously reducing your workload and improving student results and confidence.

25,000 Questions & Quizzes

Create your own or choose from the thousands created by teachers, awarding bodies and publishers.

Learn more

Actionable Insights

Use our powerful Data Analytics, Feedback and Planning tools to understand your students better than ever.

Learn more

Free forever

We're in the business of helping teachers. We know how tight departmental budgets are, we know the pain of change and we know how frustrating it is when a product you've come to depend upon starts charging. Well, we're giving you, the teacher in the classroom, a promise that Diagnostic Questions will always remain free. It's a small gesture, but we hope it helps.

Supported Subjects

Expected in November 2016, the ultimate GCSE Computing companion, with Scheme of Work and 1000s of questions from OCR and teachers.

750 questions from the Royal Society of Chemistry plus 1000s of others from teachers across the UK covering, Biology, Chemistry and Physics.

We want to support the most popular subjects that you teach. Help us focus on subjects that will make a difference by voting for our next subject.

Resolving misconceptions improves performance

A continuous system of misconception identification provides teachers with the foresight they need to intervene effectively in students' learning.

"Good diagnostic questions encapsulate our best information about what students find difficult, and are an indispensable part of any teacher's repertoire."
Dr. Dylan Wiliam, Emeritus Professor of Educational Assessment @UCL

"...the single greatest step forward in AFL in the maths classroom for years. I think it would be hard to find any better AFL strategy out there."
William Emeny, greatmathsteachingideas.com

"...good questions help us know more about our students' learning and help us to address misconceptions. An outstanding new resource to help us do just that."
Colleen Young, colleenyoung.wordpress.com

"Discover key misconceptions before you teach, track progress, review students explanations and quickly give personalised feedback."
Mohammed Ladak, mathedup.co.uk

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Better results, more confidence, less time

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MyMaths is a whole-school interactive resource for use in the classroom and at home that is easy to use alongside any other maths resources to consolidate learning.

A whole school solution

A whole school solution that sits perfectly alongside all UK National Curricula that is easy to use alongside any other maths resources and schemes.

Develops pupils' skills

Activities develop pupils' confidence and fluency in maths, through hundreds of lessons and self-marking homework tasks, worksheets, and games.

Tracking progress

The online Teacher Dashboard helps you see, at a glance, all homework and assessment activity completed by pupils, allowing teachers to track progress; wherever they are.

Support for teachers

Online guidelines and webinars are available as part of our service for your school so you can get up and running on MyMaths right away. More information .

Digital homework and practice

Ready made tasks with instant marking which provides immediate feedback for pupils and teachers. Questions are randomly generated within carefully chosen parameters to provide limitless opportunities for practice. A traffic light system in the Teacher Dashboard allows teachers to see at a glance which pupils are on track and who needs intervention.

Try a Homework

Learning resources

Each homework task is paired with an interactive lesson which can be used to provide support for intervention groups, for catch up or to support parents who wish to help their child. Video lessons enable older children to seek support independently.

Try a lesson

Times Tables

Help pupils become secure and prepare them for the multiplication tables check with the Times Tables booster pack. Automarked tasks for practice and assessment of each times table, culminating in separate activities for mixed practice. Try a 6 times tables worksheet

Preparation for KS2 SATs

Help pupils prepare for the KS2 SATS with mixed practice exam-style questions using the dedicated KS2 SATS practice booster pack. Check progress against the Year 6 end of year objectives with the Year 6 booster pack. Try a Mixed assessment worksheet

MyMaths in action

Cumnor Primary School

Diane Axford from Cumnor Primary School talks through how teachers at her school use MyMaths to set and track pupils' work online, and why parents and pupils love using MyMaths at home.

It's almost like having another teacher in the classroom. Sally Smith, Maths Lead at Old Town Primary School

See what schools are saying about MyMaths

Ready to join MyMaths?
Subscribe Or want to try MyMaths?

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MyMaths is an interactive online teaching and homework subscription website for schools that builds pupil engagement and consolidates maths knowledge. It is used in over 70 countries by approximately four million students each year!

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Our collections of high quality, expert-developed resources enhance teaching and learning in maths across your school.

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Welcome to Kangaroo Maths! Kangaroo Maths was founded in 2003 by Matt Nixon and Steve Lomax. The site was first developed to share resources and ideas with local colleagues. However, it very quickly became a go-to website for colleagues across the UK

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Access primary maths teaching resources designed by teachers. Streamline lesson planning and encourage maths mastery.

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We have created a new Primary website 😃 www.corbettmathsprimary.com

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"The choice provided for every year group, block and step is outstanding: from fluency work to discussion problems. I can always find tasks to support, challenge, engage and inspire my learners." Emily
Teacher - Bradford

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Home - Primary Teaching Resources, Worksheets & Activities

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Our selection of worksheets, resources and activities created by teachers for teachers. Join Over 100,000 members with over 8,000 resources.

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Gareth Metcalfe - I See Reasoning/Problem Solving materials

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Gareth Metcalfe - I See Reasoning/Problem Solving materials

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I See Maths - be inspired by mathematics

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Giving teachers the ideas, resources and expertise to create a practical, visual and exciting primary maths curriculum.

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Videos on A Level transition topics from GCSE

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The transition from GCSE to A level Maths can be challenging but, with plenty of practice, it most certainly is a rewarding experience. The chapters below focus on activities which help students to master the key skills that are needed in both AS and A level Mathematics. The topics are mainly those found in the overlap between GCSE and AS mathematics.

Each chapter contains between 10 and 15 videos for students to watch, along with a downloadable PDF of example questions, practice questions and End of chapter exam questions for consolidation.

Please download the Instruction guide for guidance on how to use this resource.

Please note: we have deliberately not included Chapter 8 and somes of the examples, for more information please read our FAQs below .

Some examples have been deliberately not included. For example, for Chapter 1, we have Examples 1,3,4,5,7,9,10,11,12,13,14 only.

These correspond to the same example numbers within the chapter of the of the Year 1 AS Pure Maths textbook to allow you to use both resources together.

This resource will help:

to provide stretch and challenge for high achieving GCSE Maths students (aiming for grade 7-9)

students wanting to study A level Maths

students studying AS level Maths

revision for AS and A level Maths students.

Here are some ideas as to how you may use this resource:

1. GCSE Students - direct more able students to the resource for some stretch and challenge. The videos explain how to do each example question are a great learning tool.

2. Year 12 (and post-16) - after teaching a topic, direct students to the resource as a support tool as there are lots of great practice questions and exam questions.

3. Year 13 (and post-16) - try the examples, practice questions and exam questions after identifying gaps of knowledge and use as a revision tool to consolidate learning.

This resource includes:

1. Example questions

2. Video solutions

3. Practice questions

4. End of chapter exam questions.

Both. This is useful for GCSE students such as:

high achieving students who would require stretch and a challenge

GCSE students who want to study A level Maths.

This is useful for A level students as:

a resource for teachers to set as pre-requisite knowledge

helps with fluency of key skills after the summer holidays

useful for post-16 re-sit students studying A level Maths

excellent resource for AS level Maths revision.

Of course. However, why not try the example question first to see how far you get and then watch the video to see where you got stuck or even better, check your solution.

The end of chapter exam questions are mainly AS and A level Maths exam questions and were intended for students who have completed the full syllabus and consolidated it over one or two years, rather than those starting to make the transition. More consolidation may be needed before these questions can be attempted as they are exam questions.

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Free videos to assist the transition from GCSE to A level Maths | Pearson UK

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The transition from GCSE to A level Maths can be challenging but, with plenty of practice, it most certainly is a rewarding experience. The chapters below focus on activities which help students to master the key skills that are needed in both AS and A level Mathematics.

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The most popular choice at A level is Mathematics; however, many students say that they find the initial transition from GCSE to A level challenging.

These resources were designed for students to complete independently and will develop fluency in the fundamental techniques and the key mathematical concepts that underpin A level Mathematics. They can be paired with support and additional guidance from a teacher where this is available.

Each section includes:

skills checks

a chance to practise and explore

some extra ideas that you may want to investigate further

There are six sets of resources, and each set should provide about 3 hours of work. Each set includes either written worked solutions, video solutions or links to websites.

We hope students' find these resources useful, that they add depth to their understanding, and that they help them make a smooth and successful transition to AS and A level Mathematics.

Skip to content

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Transition to A level Mathematics: Essential Skills - AMSP

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The most popular choice at A level is Mathematics; however, many students say that they find the initial transition from GCSE to A level challenging. These resources were designed for students to complete independently and will develop fluency in the fundamental techniques and the key mathematical concepts that underpin A level Mathematics.

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Looking for recommendations for good maths books? In these pages I'm going to set out my recommendations for the best maths books for a variety of purposes. There are lists of great wider reading maths books, books that would make great gifts for mathematically minded students and books to help you with A-levels, puzzle and maths challenge books and books to prepare for university mathematics and beyond. Please use the Amazon links to buy the books if you have found these pages useful!

Have I missed your favourite maths book? Get in touch via the contact page and let me know!

Many of these books are also great as Audiobooks - get a free trial of Audible here:

Popular maths and puzzle books:

A level and university:

Teaching and general reading:

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Looking for recommendations for good maths books? In these pages I'm going to set out my recommendations for the best maths books for a variety of purposes. There are lists of great wider reading maths books, books that would make great gifts for mathematically minded students and books to help you with A-levels, puzzle and...

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Each half-hour had a different special guest sharing a mathematical magic trick of some kind, giving a total of 48 tricks for you to watch and puzzle over

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On 30-31 October 2020, a group of maths presenters got together some mathematicians, magicians and other cool people to put on a 24-hour long online YouTube mathematical magic show. Each half-hour had a different special guest sharing a mathematical magic trick of some kind, giving a total of 48 tricks for you to watch and puzzle over (and since was Hallowe'en, we included some treats as well).

The guests included:

Mathematician and RI Christmas Lecturer Hannah Fry

Stand-up Mathematician Matt Parker

Professional speed Rubik's cuber Sydney Weaver

Popular science author Simon Singh

Mathematician and presenter Katie Steckles

Numberphile and YouTube star James Grime

Mathematician and author Eugenia Cheng

University Challenge star Bobby Seagull

YouTuber/Game Show host Tom Scott

Maths teacher and BBC Radio 4 puzzle writer Susan-Louise Okereke

You can find a full list of guests, and links to their parts of the show here.

The show took place alongside Mark Watson's 24-hour comedy show Watsonathon, which we appeared on at three points during the day/night ( first, second, third). Both shows were raising money for the charity Turn2Us which helps people in low-income jobs & gives out emergency grants, and the Comedy Support Act, supporting comedians and other performers who have little/no income at this time. You can still donate on Mark's fundraiser page.

At 21:00 GMT, Katie Steckles (, , ) welcomed everyone to the show at youtu.be/Uuqrh5sdK8g.

At 21:00-21:30 GMT, Zoe Griffiths (, ) joined us and successfully memorised the results of 40 coin flips. Zoe is involved in upcoming events with think-maths.co.uk, mathsinspiration.com, and cosmicshambles.com/ninelessons.

At 2:00-2:30 GMT, Ron Lancaster showed us a trick involving cards and dice.

At 3:30-4:00 GMT, Jack Harrison considered 1 + 2 + 3 + 4 + 5...

At 4:00-4:30 GMT, Paddy Moore () showed us some simple but impressive card tricks.

At 4:30 GMT, Julia Collins () took over from Sydney to introduce our next guests...

At 6:00 GMT, Katie Steckles (, , ) took over from Julia to introduce our next guests...

At 6:00-6:30 GMT, Jimi Jibodu showed us card tricks by Bob Hummer.

At 9:00 GMT, Bobby Seagull (, , ) welcomed everyone back to the show.

At 9:00-9:30 GMT, Alison Eves () worked out Bobby's birthday. Alison coordinates maths masterclasses for the Royal Institution (, ) .

At 9:30-10:00 GMT, Chris Smith (, ) hid the number 123 in a skull, confused Bobby with a clock, and did a song. Chris sends out a weekly maths newsletter full of puzzles, lesson ideas, resources, and trivia. Email aap03102@gmail.com and Chris will be happy to sign you up for the newsletter!

At 10:00-10:30 GMT, Julia Collins () did a trick with 5 red and 5 black cards. Julia's latest book,Numbers in Minutes is about 200 essential and interesting numbers.

At 10:30 GMT, Sophie Maclean (, , ) took over from Bobby to introduce our next guests. You can listen to Sophie's podcast on Spotify.

At 10:30-11:00 GMT, Jo Morgan () was the volunteer for a trick performed by Sophie, then Sophie and Jo worked out how the trick worked.

At 11:30-12:00 GMT, Tiago Hirth performed lots of tricks. Many of the involved a chain and a ring.

At 12:00 GMT, Fran Watson () took over from Bobby to introduce our next guests...

At 12:30-13:00 GMT, Laurence O'Toole worked out Fran's number after 8 questions even though she lied.

At 13:00-13:30 GMT, Goran Newsum () got Katie's disembodied hands to perform a dice trick.

At 13:30 GMT, Katie Oldfield () took over from Fran to introduce our next guests...

At 14:30-15:00 GMT, Fran Watson () tried to find the S-I-X O-F H-E-A-R-T-S using M-A-T-H-S. Fran is running a maths and paper folding workshop for teachers on 11 November.

At 15:00-15:30 GMT, Vicky Neale (, ) folded some paper and found a parabola, then drew some straight lines to find some other surprise curves. Vicky's new book,Why Study Mathematics? came out this week. There are templates for some interesting curve stitching on her website.

At 15:30-16:00 GMT, Simon Allen made James divide some numbers between 7, 11 and 13.

At 16:00-16:30 GMT, James Grime (, ) got the other James to multiply some one digit numbers together, the guessed a missing digit. On 20 November, James is running virtual maths retreats with Katie Steckles for year 7-9 and year 10-11 students.

At 16:30 GMT, Jon Martin () took over from James to introduce our next guests...

At 17:00-17:30 GMT, Katie Steckles (, , ) showed Jon a trick involving four digit numbers made by three rods. On 20 November, Katie is running virtual maths retreats with James Grime for year 7-9 and year 10-11 students.

At 17:30-18:00 GMT, Andrew Jeffrey () showed us a metal squircle, and gave Jon a fantastic prize...

At 19:00-19:30 GMT, Rob Eastaway (, , ) showed us a trick using (nearly perfect) riffle shuffles.

At 19:30 GMT, Katie Steckles (, , ) , Zoe Griffiths (, ) , Samuel Hansen (, ) , Ben Sparks (, ) and Matthew Scroggs (, ) joined the stream to take us through the last 90 minutes...

At 19:30-20:00 GMT, Simon Singh (, ) showed us a physics trick. Simon runs Parallel Maths () , a website full of maths resources for mathematicians aged 10 to 16.

At 20:00-20:30 GMT, Eugenia Cheng (, ) showed us how to find a hexagon in a cube, and cut a Battenburg. Eugenia's newest bookX+Y: A Mathematician's Manifesto for Rethinking Gender and her first children's book Molly and the Mathematical Mystery are both out now!

At 21:01 GMT, we went to sleep.

At around 20:45 GMT on Friday 13 November, we showed off some highlights of the 24 Hour Maths Magic Show on Mark Watson's Watsonathon Encore.

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On 30-31 October 2020, a group of maths presenters got together some mathematicians, magicians and other cool people to put on a 24-hour long online YouTube mathematical magic show. Each half-hour had a different special guest sharing a mathematical magic trick of some kind, giving a total of 48 tricks for you to watch and puzzle over (and since was Hallowe'en, we included some treats as well).

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REFERENCES FOR TEACHERS

WEB LINKS Reflect, Expect, Check, Explain: Sequences and Behaviour to Enable Mathematical Thinking in the Classroom How I Wish I'd Taught Maths: Lessons Learned from Research, Conversations with Experts, and 12 Years of Mistakes. How We Learn. The new science of education and the brain. What if everything you knew about education was wrong? How Does Anxiety Influence Maths Performance and What Can We Do About It?
An English Version of the Mathematics Teaching Anxiety Scale Maths Anxiety: What is Known and What is still to be Understood Closing the Vocabulary Gap
The benefit of interlveaved mathematics practice is not limited to superficially similar kinds of problems Principles of Instruction: Research-Based Strategies That All Teachers Should Know
Creating the Schools Our Children Need
Learning Sciences International, Florida Leadership for teacher learning Why Don't Students Like School? A Cognitive Scientist Answers Questions About How the Mind Works and What It Means for the Classroom
Routledge 2011
https://educationendowmentfoundation.org.uk/index.php?/tools/guidance-reports/early-maths

https://educationendowmentfoundation.org.uk/tools/guidance-reports/working-with-parents-to-support-children's-learning/

How knowledge helps
(https://www.aft.org/periodical/american-educator/spring-2006/how-knowledge-helps)
American Educator, Spring 2006
Willingham, D. (2006)

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REFERENCES FOR TEACHERS WEB LINKS Reflect, Expect, Check, Explain: Sequences and Behaviour to Enable Mathematical Thinking in the Classroom How I Wish I'd Taught Maths: Lessons Learned from Research, Conversations with Experts, and 12 Years of Mistakes. How We Learn. The new science of education and the brain.

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In 2018 I set up The Maths Anxiety Trust to raise public awareness and understanding of the condition known as Maths Anxiety and to find solutions.

We have created this web site dedicated to Maths Anxiety as a resource for anyone and everyone (teachers, parents, students, adults) who experience Maths Anxiety. We have developed resources which you will find on the site and which we hope you will find helpful. We will be developing new resources in the coming months.

Whatever you do in life whether your dream is to become a famous footballer, pilot, dressmaker, singer, doctor, sailor, dancer .... Maths is essential."

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In 2018 I set up The Maths Anxiety Trust to raise public awareness and understanding of the condition known as Maths Anxiety and to find solutions. We have created this web site dedicated to Maths Anxiety as a resource for anyone and everyone (teachers, parents, students, adults) who experience Maths Anxiety.

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National Numeracy

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Anyone can experience maths anxiety. In fact, most adults will experience it at some point in their life. Find out the causes & how to overcome these problems.

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In this short course for students, Rachel Kidson, our Educational Psychology Lead, will explore how you can deal with Maths Anxiety and stop it affecting your performance.

The course consists of several short videos where Rachel will lead you through each technique, with check-up questions throughout. The course should take no longer than 30 minutes to complete and can be revisited at any time.

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Maths Anxiety: Short course for students 🧘‍♀️ - Eedi

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Learn how to deal with Maths Anxiety and stop it affecting your performance.

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For a year!

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This is the landing page for a school year's worth of Algebra-centric warm ups. The reason they are "for Geometry teachers" is due to the original motivation for the project, which you can read more about in my explainer post. The short version is this: Algebra skills are important and ought to be practiced often. However many schools incorporate Geometry in between Algebra 1 and Algebra 2, leaving a yearlong gap in Algebra experiences. Utilizing quick Algebra warm ups is one way to bridge that gap.

Below you'll find warm ups centered on Algebra topics for every day for 36 school weeks. It's possible that's a few too many or a few too few. You have the option and allowance to make copies and edit as you see fit.

The planning document and accompanying matrix showcases the topics and the types of problems. The warm ups showcase a variety of problem-types that you may wish to imbue into your regular teaching practice. These problem types include all-access tasks such as "Which One Doesn't Belong?", Number Talks, Pattern Talks, "Tell me what you know", Notice and Wonder, "think like a test-maker", thin slicing, and many others. While these are smaller tasks, many of them aspire to quality pedagogy. In particular, I'd like to shout out the following websites, books, and resources as they offered inspiration for task-types:

WODB.ca

Michael Pershan's Teaching Math With Examples

Visualpatterns.org

Wouldyourathermath.com

Warm ups occur at the beginning of class, typically taking 3-5 minutes. In my class I have warm ups posted before class starts and have an expectation that students begin work on them immediately upon getting settled into their seats, allowing for some socializing. That expectation occurs from Day 1 and does not stop for even a single school day. You may wish to facilitate them using journals, discussion, or weekly turned-in recording sheets.

While these are intended to be a years' worth of warm ups, I could envision other uses. You may wish to pull some of the individual problems to incorporate on regular assignments. You could even develop a pre-assessment by cobbling together many of the problem types.

The warm ups are presented in two formats: on viewable google documents and viewable google slides. You may copy them to adapt and use in your class. You'll find both formats and an outline by clicking the button below.

Some FAQs:
OK, so what is this again?
A bank of quick problems intended to keep students Algebra skills on the up and up, ideal for 5-minute warm ups.

Check out the explainer blog post. Algebraic thinking is crucial for academic success, so it's important to keep students engaged in it even during a year of Geometry.
How many warm ups are there?
Thirty six weeks times 5 days/week = 180 days of warm-ups.
Do you expect me to use all of these? I have, like pep-rally days and random off days.
Of course not! Just like my problem based curriculum maps, you're probably not going to use all of the tasks. Use the ones you want.
How do I facilitate these warm ups?
My recommendation is to establish an expectation from the first day of school to have students begin to work on warm ups immediately. On the very first day of school I have a warm up. I greet students at the door and welcome them. I then direct them to their seat and tell them to begin working on the task that is on the board/screen. If you'd like, you have have them record their warm ups using this recording sheet. Or they can keep a notebook. It's up to you!
Should I grade these?
I'll tell you what I did. I gave an existent, but statistically insignificant grade for warm-ups. Think: 5 points in a week where students may accumulate 150 points. I graded for completion, not correctness. But it's up to you!
How did you select the topics?
I examined Pre-Algebra and Algebra textbooks and Common Core State Standards. I want to note that these are intended for students who have taken, completed and passed Algebra 1. I also chose to emphasize topics that are either crucial for Algebra 2 or topics that my students require additional practice with.
Are these original problems?
Mostly they are, unless there is a link pointing to the original source.
Will you update the warm ups?
I intend to when I come across pedagogically sound (but small) routines or as I further enhance my learning from my colleagues.
What about topic X? It's not in the document and my students should know that from Algebra!
Sorry!!
Is there an answer key?
No. Maybe half of the problems are answer-less or have multiple answers. And I encourage teachers to do math with students rather than do math at students. So do the warm ups with the students! Maybe you'll make a mistake! That's ok!

I'll add more info to this post as I continue to get questions on them. Feel free to ping me with additional questions or feedback!

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Take me to the Algebra Warm Ups This is the landing page for a school year's worth of Algebra-centric warm ups. The reason they are "for Geometry teachers" is due to the original motivation for the project, which you can read more about in my explainer post.

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A range of resources for KS3 and KS4

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Maths Teaching Resources | Dr Austin Maths

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Dr Austin Maths is a free-to-use Maths teaching resources website, focussing on quality resources for KS4 IGCSE and GCSE Maths.

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This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams.

What is STEP?

STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

STEP is designed to test candidates on questions that are similar in style to undergraduate mathematics. Although demanding, preparing for STEP gives you a chance to engage with interesting, challenging mathematics, to stretch yourself and to develop the mathematical reasoning, independence and confidence needed in an undergraduate mathematics degree.

STEP Support Programme - free online resources

The STEP Support programme is designed to help university applicants develop their advanced problem-solving skills and prepare for sitting STEP Mathematics examinations. The programme is developed by the Faculty of Mathematics and NRICH. It consists of online modules for individual additional study, along with hints and full solutions.
The resources are free and open to everyone.
The Foundation modules provide a structured introduction to solving STEP problems. The modules also introduce mathematical ideas beyond the syllabus and include supportive self evaluation materials. They are designed to be studied weekly over about 6 months. If you are planning to take STEP 2 and 3 at the end of Year 13, we recommend you start studying the Foundation modules in Year 12. They are also useful for Year 13 students who want to take STEP 1.

The and modules assume that you have already worked through the foundation modules. We recommend that you start these in Year 13 (ideally you would start working on the STEP 2 modules soon after the beginning of Year 13, and the STEP 3 modules around January of Year 13).

If you have any questions about the assignments, or STEP in general, or feedback about our resources you can email us at step@maths.org, or contact us via twitter @stepsupportcam.

Please see here for more detailed advice on how to use the STEP Support Programme.

Additional supporting material

These resources complement the STEP Support Programme and are designed to help you develop your advanced problem solving skills and mathematical thinking.

STEP questions with solutions at Underground Mathematics

Advanced Problems in Mathematics book

The STEP Support Programme is developed by NRICH, part of the University of Cambridge's Millennium Mathematics Project - maths.org, on behalf of the Faculty of Mathematics. (c) University of Cambridge. Email us: step@maths.org.

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This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams. STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

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STEP, MAT, TMUA: Skills for success in University Admissions Tests for Mathematics

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Buy STEP, MAT, TMUA: Skills for success in University Admissions Tests for Mathematics by Lissaman, Richard, Honeywill, Tim, Bedford, David, Chaffe, Phil (ISBN: 9781398323315) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.

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Overview

This is an online course to prepare students for the STEP (Sixth Term Examination Paper). The STEP is an admissions test used primarily by the University of Cambridge and the University of Warwick.

The course will consist of ten online sessions, each lasting an hour. STEP Online will run from February through to June, with exact dates to be confirmed nearer the time. Once we have received bookings for this course, we will organise sessions at the most convenient time for course participants.

Aims

To introduce mathematical problems of the difficulty level of the STEP admissions tests.

To provide support for students preparing for the STEP admissions tests.

Who will benefit from attending?

Students who will be sitting one or more of the STEP papers in the summer of 2021.

Content

Session 1

Dividing by zero

Session 2

Inequalities and proof by induction

Session 3

Systematic search or proof by exhaustion

Session 4

Necessary and sufficient conditions

Session 5

Reduction ad absurdum and irrational numbers

Session 6

Curve sketching

Session 7

General solutions of trigonometric equations

Session 8

Differential equations

Session 10

Applied Mathematics (Mechanics and Statistics)

Live online sessions will include discussion of key points and examples from past papers. Course participants will be given access to recordings of the sessions if they are not able to attend a live session. Participants will also be given access to additional online resources including extra notes, exercise sheets and solutions.

Materials and Equipment

You will need a computer with a broadband internet connection, a microphone or headset, and a graphics tablet. Communication with the course tutor during the live sessions is via microphone or headset.

Cost

The cost of the course is £160.

Students from state-funded schools who are unable to pay this amount due to financial hardship may be eligible for a free place on the course. Contact your local Area Coordinator for more details.

Find a course

There are currently no events of this type planned. Please check again at a later date.

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This is an online course to prepare students for the STEP (Sixth Term Examination Paper). The STEP is an admissions test used primarily by the University of Cambridge and the University of Warwick. The course will consist of ten online sessions, each lasting an hour.

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Maths Careers provides a range of resources, information and signposting to help those working in mathematics.

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Due to Coronavirus (COVID-19), all face-to-face professional development and enrichment events have been cancelled until 30 April. Our online professional development courses are still available.

There are no events to show with your current filter settings!
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Due to Coronavirus (COVID-19), all face-to-face professional development and enrichment events have been cancelled until 30 April. Our online professional development courses are still available. There are no events to show with your current filter settings! Reset filter

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Audience

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A summer of Maths and Science workshops

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The Royal Institution is an independent charity dedicated to connecting people with the world of science, inspiring them to think more deeply about science and its place in our lives.

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Overview

Our resources are organised into topics or stations on a map or tubemap showing the connections between them.

Watch this video or use the preceding menu to find out more.

The map

The mathematics has been organised along a system of tube lines, which reflect big themes that run through mathematics. The tubemap offers a way to navigate to resources for teaching a particular area of mathematics; resources can be accessed by clicking on a station name. Some stations are still in development and this is indicated by a construction symbol.

You can access the map at any time by clicking the Map button in the main menu.

Stations

Each station features an overarching question that could be used to stimulate curiosity. There are a number of key questions that summarise the ideas that arise in the resources. You can filter resources by selecting a key question. You can also filter resources by tube line, if you wish to choose a resource with a particular emphasis.

The resources that are available at each station may come under three headings. Resources that introduce new ideas relating to the station are in the "Introducing" section. "Developing" resources may build on these ideas or earlier work. "Review questions" are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking.

Resources

To help you find the resources you are looking for, we have classified them according to twelve resource types.

Resources are divided into sections. In some cases this may be a warm-up followed by a larger task, and others may have a problem followed by a suggestion of how to tackle it. Almost all resources contain a solution or a "Things you might have noticed" section. This may help you to think about questions you might ask students, to see areas where students could get stuck, or offer further insight into how you might use the resource in your classroom. Further support is offered in the teacher notes.

Pervasive ideas

By clicking on a pervasive idea you will find a description of how the idea arises within the resources. If pervasive ideas are highlighted in a resource they appear in the sidebar (or bottom-bar on a small screen) and in the list of resources at the station (on a wide screen).
What are pervasive ideas?
Search

Use the Search button in the top menu bar to open the search dialog.

You can search for resources by title, keywords or text within the resource. Review questions can be searched by question Ref. You can also search for pervasive ideas and mathematical processes such as visualising.

You can also browse all our material with filtering options by clicking the Browse button in the main menu.

Saving resources

You can save a resource for later by adding it to your resource collection. To do this click the star next to the resource title. Note you must log in or register to use this facility. To access your resource collection, click the User button in the top menu bar then Your resource collection.

Within your resource collection, you can organise your resources by creating ordered subcollections. To add a resource to a subcollection, click the add to subcollection icon in your resource collection table. To select a subcollection, use the drop-down list above the table. You can also generate a PDF of resources from a subcollection, which could be used to generate your own exam from our review questions, for example.

Bundles and more

The More menu in the top right contains links to the Underground hub, our About and contact page and the Your mathematical classroom section of the site.

Our About page contains a video explaining our philosophy.

The Your mathematical classroom area of the site is accessible from the More menu and has been coloured purple to distinguish it from the rest of the site, as well as having its own menu once inside this area. It contains support for using our resources in the classroom as well as professional development opportunities. This includes the Bundles page, which contains small collections of resources that have a particular focus or goal, our Resources in action page, which provides detailed teacher support for a handful of resources, our blog, upcoming and recorded webinars, a courses page, and information about our Champions programme.

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A level maths teaching resources | Underground Mathematics

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Rich resources for teaching A level maths, enabling all students to explore the connections that underpin mathematics. The resources are free for all users.

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How to write an incredible UCAS personal statement (for any subject, especially maths/science)

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Below you can find links to selected video solutions for past Cambridge STEP Maths questions. You can also find grade boundaries and past papers for all STEP 1 2 and 3 papers from 2000 onward on this page.

Click the buttons below to download fully typed up solutions to all of the STEP papers from 2016, 2017, 2018, 2019 and 2020. These have kindly been prepared by a friend who has helped with marking these papers, not by me. They have decided to stay anonymous, but many thanks for the effort in producing these!
Other useful STEP resources:

1. The official Cambridge website and the official admissions testing website.

2. The free pdf of the book `Advanced problems in Mathematics' by Stephen Silkos available here is an really an exceptional introduction with so many practice problems, each with hints and discussions about strategy presented before the solutions.

3. These foundation modules are also great preparation in a similar way.

4. The STEP Database website allows you to search for individual STEP questions all the way back to 1987 by topic.

5. This website also has free fully worked handwritten solutions to most STEP papers from 1996 to fairly recent papers.

Related reading:

For ideas of books to read to prepare for undergraduate maths take a look at the page here. I would also highly recommend the (free!) notes How do Undergraduates do Mathematics.
Mathsaurus YouTube Video Solutions:
Note - STEP has changed slightly for examinations from 2019 onwards, and STEP I no longer exists, but the style of the questions are unchanged and so most past paper questions remain excellent preparation for the new exams and STEP I questions are still a great starting point for preparation.

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Below you can find links to selected video solutions for past Cambridge STEP Maths questions. You can also find grade boundaries and past papers for all STEP 1 2 and 3 papers from 2000 onward on this page. Click the buttons below to download fully typed up solutions to all of the STEP papers from...

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The Mathematics Admissions Test (MAT) is the entrance exam for Mathematics and Computer Science degrees at Oxford University*.  Practical information and past papers with solutions can be found at the official MAT website.  I sat a version of this paper when I was accepted to Oxford to study Maths and I have helped a lot of students prepare for this paper whilst teaching at top private schools in London.

Previously this page contained links to videos of solutions to the papers from the 2016 to 2020 but I have had to remove these from YouTube.  I am looking into ways to make this content available again soon.

Want some ideas of books to read to prepare for undergraduate maths?  Take a look at the page here!

Also, here’s a video about writing amazing personal statements, particularly aimed at maths:

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MAT – Oxford Mathematics Admissions Test

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The Mathematics Admissions Test (MAT) is the entrance exam for Mathematics and Computer Science degrees at Oxford University*. Practical information and past papers with solutions can be found at …

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You can find past papers and information about the TMUA at the official website here.

I used to have playlists here working through past TMUA papers - I have temporarily removed these from YouTube and am looking at other ways to make them available so do check back soon.

If you are preparing for TMUA you might also find my MAT content useful - the syllabus is similar and the short answer questions from the MAT are particularly good practice for the TMUA too.

Also, here's a video about writing amazing personal statements, particularly aimed at maths:

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TMUA - Test of Mathematics for University Admission

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You can find past papers and information about the TMUA at the official website here. I used to have playlists here working through past TMUA papers - I have temporarily removed these from YouTube and am looking at other ways to make them available so do check back soon.

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The books on this page are all excellent preparation material for A-level students thinking of studying Mathematics at university. As well as the books below I’d also highly recommend the (free!) notes How do Undergraduates do Mathematics. These are subtitled ‘A guide to studying mathematics at Oxford University’, but are great for mathematics at any university and for a glimpse into it for anyone thinking of applying too.

All the images contain Amazon links so please use them to buy the books if this has been useful to you!

Many of these books are also great as Audiobooks – get a free trial of Audible here:

Why Study Mathematics? Vicky Neale

Gives a great overview of the reasons why you might want to study maths at university and how it will be different to the maths you’ve done at school, including a brief description of lots of different areas of advanced maths. Written by an Oxford lecturer, but with a broad view of the different maths courses available at other universities, it contains a lot of great advice and things to think about. A fairly quick read and mostly words but also has a few nice mathematical examples for inspiration.

Towards Higher Mathematics – Richard Earl

A true transition textbook that has filled a real gap in the market – written in the language of A-level maths, exploring many key concepts of undergraduate maths. Written by Oxford’s Director of Undergraduate Maths, the book arose out of a course aimed at incoming undergraduates without Further Maths (but very suitable for further mathematicians too!) and includes 1757 exercises to try your hand at too!

How to Think Like a Mathematician – Kevin Houston

Addresses some of the topics that make the transition to undergraduate maths challenging. In particular how to think logically and to write clearly, and how to adapt to the Definition/Theorem/Proof style of mathematics that makes undergraduate study quite different from A-level.

How to Study for a Mathematics Degree / Think About Analysis – Lara Alcock

How to Study for a Mathematics Degree addresses styles of proof, and how to read and write undergraduate mathematics, and about a third of the book is about the often neglected area of study skills and how to get the most out of the teaching experience at university.

Limits, Limits Everywhere – David Applebaum

An excellent, entertaining introduction to the rigorous treatment of sequences and series, and a great warm up to mathematical analysis, one of the hardest parts of undergraduate mathematics to adapt to from A-level.

Logic – Wilfred Hodges

An introduction to formal logic, using grammatical and linguistic examples as much as mathematical ones. Particularly recommended for students thinking of a course like Maths + Philosophy. Helpful for maths, but also for any other subject that requires a logical analysis of written work (eg law).

Mathematical Beauty: What is Mathematical Beauty and Can Anyone Experience It? Daniel Peracy

Mathematics has turned out to be an incredibly practical and useful subject. This drives a lot of attention and funding towards the subject, but meet any professional mathematician and they will also talk to you about the beauty of mathematical proof, and as mathematics as an art as much as a science. This book explores what it means for mathematics to be beautiful and how to appreciate mathematics as well as much as to apply it.

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The books on this page are all excellent preparation material for A-level students thinking of studying Mathematics at university. As well as the books below I’d also highly recommend the (fr…

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Get ready for The Senior Maths Challenge

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Get ready for The Senior Maths Challenge

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Get ready for the Senior Maths Challenge

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A free course working through the 2020 UKMT Senior Maths Challenge paper. As well as full video solutions, each question also has a short video hint, giving you the best chance of being able to work out the questions out for yourself!

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Maths, science, movies (and the arts generally), education, history, philosophy, standup, politics, and how to make it in life.

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Daniel Rubin - YouTube

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I’m Daniel Rubin, professional mathematician and man of many interests. I host a conversation show in which I talk to interesting people about the things I care about: math, science, movies (and the arts generally), education, history, philosophy, standup, politics, and how to make it in life. I…

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Books, Blogs and Podcasts

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I've written or co-written twelve books, some of which have appeared in several languages. The majority are about the maths of everyday life, but I've also written books on cricket, memory and creative thinking.

I am Director of Maths Inspiration, a national programme of interactive lecture shows in theatres that has reached around 200,000 teenagers in the last fifteen years. I'm closely involved with the UK maths community, from primary schools to universities.

I give talks to adults, teenagers and children that range from small interactive workshops to keynote lectures in front of several hundred. I've also done lots of radio (including numerous appearances on BBC Radio 4's More Or Less) and many podcasts.

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I've written or co-written twelve books, some of which have appeared in several languages. The majority are about the maths of everyday life, but I've also written books on cricket, memory and creative thinking. I am Director of Maths Inspiration, a national programme of interactive lecture shows in theatres that has reached around 200,000 teenagers in the last fifteen years.

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This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams.

What is STEP?

STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

STEP is designed to test candidates on questions that are similar in style to undergraduate mathematics. Although demanding, preparing for STEP gives you a chance to engage with interesting, challenging mathematics, to stretch yourself and to develop the mathematical reasoning, independence and confidence needed in an undergraduate mathematics degree.

STEP Support Programme - free online resources

The STEP Support programme is designed to help university applicants develop their advanced problem-solving skills and prepare for sitting STEP Mathematics examinations. The programme is developed by the Faculty of Mathematics and NRICH. It consists of online modules for individual additional study, along with hints and full solutions.
The resources are free and open to everyone.
The Foundation modules provide a structured introduction to solving STEP problems. The modules also introduce mathematical ideas beyond the syllabus and include supportive self evaluation materials. They are designed to be studied weekly over about 6 months. If you are planning to take STEP 2 and 3 at the end of Year 13, we recommend you start studying the Foundation modules in Year 12. They are also useful for Year 13 students who want to take STEP 1.

The and modules assume that you have already worked through the foundation modules. We recommend that you start these in Year 13 (ideally you would start working on the STEP 2 modules soon after the beginning of Year 13, and the STEP 3 modules around January of Year 13).

If you have any questions about the assignments, or STEP in general, or feedback about our resources you can email us at step@maths.org, or contact us via twitter @stepsupportcam.

Please see here for more detailed advice on how to use the STEP Support Programme.

Additional supporting material

These resources complement the STEP Support Programme and are designed to help you develop your advanced problem solving skills and mathematical thinking.

STEP questions with solutions at Underground Mathematics

Advanced Problems in Mathematics book

The STEP Support Programme is developed by NRICH, part of the University of Cambridge's Millennium Mathematics Project - maths.org, on behalf of the Faculty of Mathematics. (c) University of Cambridge. Email us: step@maths.org.

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This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams. STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

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Rich Tasks

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The current draft of our mapping document for the 2017 A-level can be downloaded here. This is a work in progress and will continue to be updated (Last update 9th February 2023).

/content/id/9040/NRICH%20A%20Level%20mapping%20document%2009_02_23.xlsx

The links below take you to a selection of "rich tasks" from the NRICH collection, chosen because they are ideal for developing subject content knowledge as well as mathematical thinking and problem-solving (process) skills.

If you have students who are hoping to sit STEP, MAT or other advanced problem solving examinations, please encourage them to visit the STEP Support Programme.

Pure resources for A Level

Collection of Further Pure resources

Stage 5 statistics, mechanics and decision mathematics material organised by topic

Mathematical thinking skills collections for teachers of Stage 5 students

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Stage 5 curriculum material organised by mathematical topic

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Junior, Intermediate, Senior and more

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Come and join us and be part of a diverse community that cares about mathematics education.

View our current vacancies.

Advancing the education of young people in mathematics

For over 20 years we have been inspiring a love of problem solving through our competitions and enrichment activities.

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Come and join us and be part of a diverse community that cares about mathematics education. View our current vacancies. Advancing the education of young people in mathematics For over 20 years we have been inspiring a love of problem solving through our competitions and enrichment activities.

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Topics range from the sublime to the ridiculous… from historic discoveries to latest breakthroughs.

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This is Numberphile. We mainly post videos about mathematics and just numbers in general.

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Y5 and Y6 7-18 November

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× This site uses cookies. By using the site you accept our cookie policy.

Click here to find out more about our summer time challenge.

If you have a question about the FMC you may find your answer here.

Challenge orders are now closed for 2023. See you again in 2024!

All results needed by 30/11/2023

However you took part in the Challenge this year, we still need you to submit your results.

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Primary Maths Challenge - Primary Mathematics Challenge

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The annual GDST Junior Maths Conference was a great success with hundreds of pupils taking part

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The GDST’s annual junior maths conference is a keenly anticipated event and Covid 19 wasn’t going to get in the way. The event moved online, enabling it to be opened up to all Year 6s across the GDST family resulting in nearly 500 students taking part in 140 teams. The task? A series of challenges on the theme of ‘Pattern’. Pupils were given a number of activities designed to explore fractal patterns via tasks on ‘Sierpinski’s triangles’, both in number exercises and practical challenges – such as modelling and building the biggest set of balloon triangles possible. Schools then shared their work via an online platform – flipgrid – where girls could view and review each other’s work.

The challenges involved building the biggest set of balloon triangles possible

Teachers sought to inspire the girls by recording their own ‘maths stories’ and invited the girls to do the same, reflect on their own mathematical journeys and upload them to flipgrid. Finally, there was an online live zoom maths quiz across all the schools.

Rebecca Brown, the Trust Consultant Teacher for Maths at the GDST, said: “It was fabulous to see the mathematical excitement, enrichment and challenge that the activities provided. The current Covid climate didn’t restrict the fun and mathematical learning for the pupils, showing just how our girls can learn without limits.”

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The GDST Junior Maths Conference moved online, opening it up to all Year 6s across the GDST family resulting in nearly 500 students taking part in 140 teams.

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If men continue to outnumber women mathematicians, scientists and engineers, society will suffer from a lack of diverse thinking. The GDST has a game plan.

When GDST maths teacher Rebecca Brown tells people what she does for a living, the response is predictable. "People inevitably say, 'Oh I was rubbish at school.' Being bad at maths is like a badge of honour."

But in a technologically driven future, numeracy and a grasp of mathematical concepts will matter more than ever.

"Maths is such a big subject, one of the hardest," says Brown, "and it's something that employers really value and respect." And the skills it nurtures - problem solving, critical thinking, quantitative and analytical thinking - are among those identified as skills for the future by the World Economic Forum.

But without women mathematicians, scientists and engineers, wider representation will remain stubbornly low, with all the problems that a lack of diverse thinking brings at a society level. A grasp of maths is critical for science and engineering careers. But today just 12.37 per cent of UK engineers are women, and under half (46.4 per cent) of girls aged 11 to 14 say they'd consider a career in engineering, compared to 70.3 per cent of boys, according to a report by the Women's Engineering Society. Female students are also less likely than their male counterparts to say their best subject is a science or maths.

"It's a national problem," Brown says. "But the GDST is leading the way."

Women must have a say in a digital future. For too long men have been the global default customer, as Caroline Criado-Perez lamented in Invisible Women: Exposing Data Bias in a World Designed for Men - a book that exposes the ways in which women are excluded and how gender blindness actually harms not only women, but society. Nasa famously cancelled their first ever all-female spacewalk in 2019 because of an ill-fitting space suite designed for a male frame. As a happy contrast, the junior girls at Wimbledon High School - along with other member schools of the GDST - develop to love the subject.

Maths at a GDST school is fun. The students get to build virtual race cars, create and budget for virtual gardens or manage troop deployment during the Second World War - all in the name of maths. You won't find any of them standing up reciting basic sums - but they do compete in national online competitions to find the whizziest times-table champions.

"I can't remember the last time I got out a text book in a lesson," say Brown, who supports and inspires different approaches to maths teaching across GDST junior schools. "We create a social element to maths teaching, and that's the best way to learn," she says. "Girls love working together, they grow in confidence."

When 11-year-old Archana doesn't understand something, she's not scared to ask. "Teachers will just explain it in a different way," she says. "I enjoy maths and numbers - the teachers have made it so interesting." As a year 6 pupil at Wimbledon High, she's been busy exploring how maths is applied in daily life, such as how the government budgets during a pandemic and what algebraic formulae are used to calculate the furlough scheme.

"Learning these skills early on is so important. Maths is a cornerstone for so many subjects - it will always be useful"

"I've been really impressed," says her mother Gayathiri, an accountant who wants her daughter to grow up loving maths. And she's delighted at Archana's enthusiasm. "Learning skills like that early on is so important. Maths is a cornerstone for so many subjects, it will always be useful."

Archana also uses her maths skills across the curriculum, applying them to subjects such as geography and history - she's currently plotting an imaginary island to scale and calculating how it could sustain itself through agriculture and tourism. And this, says her mother, is why she enjoys it. "It's not a standalone topic. This might make it more of a stretch, but it's more interesting for her. She's keen to do the work, it saves me the trouble of having to motivate her!"

There are inspirational ways to teach maths that can dispel any fear of failure. "I had to work really hard at maths myself," says Brown. "I didn't have a great teacher and all the while I thought I could teach it so much better. I did a maths degree, and I loved problem solving. That's what makes me passionate about ensuring everybody loves their maths lesson. We must make sure we instil a love of learning in the girls."

And this is done in the most engaging ways across GDST schools with events to build enthusiasm. Schools bring parents on board - with lively tips to apply maths at home. "You can spot patterns in everyday life, or chat about fractions with a chocolate bar and so on," Brown says. At one maths conference, hundreds of girls vied to build the greatest triangles from balloons and share their efforts online; they were in fact exploring fractal patterns, Brown explains.

Something is clearly adding up for the girls: more than half of students (55 per cent) at Wimbledon High School continue with maths after GCSE - well above the 39 per cent of female students nationally who take A-level maths.

While GDST schools celebrate their high achievers, girls who might lack confidence are also nurtured, Brown says. "We do have a lot of girls in our schools who are gifted at maths," she says. "But being able to create a safe, relaxed environment for learning and dispel fears about maths is so important and so rewarding."

Over her 13 years in teaching, Brown has seen a huge shift in students' attitudes towards her favourite subject. "There's real excitement now around teaching maths. I can't wait for the next ten years to see how much more changes."

A rticle originally published in The Times on 22nd May 2021.

Other junior school news

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"I want everybody to love maths" - Girls' Day School Trust

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If men continue to outnumber women mathematicians, scientists and engineers, society will suffer from a lack of diverse thinking. The GDST has a game plan. When GDST maths teacher Rebecca Brown tells people what she does for a living, the response is predictable. "People inevitably say, 'Oh I was rubbish at school.'

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At the GDST, we are proud to be able to run groundbreaking initiatives that result in statistics to buck the trend and break the stereotypes when it comes to encouraging young women into STEM.

Recent comments from government's social mobility commissioner Katharine Birbalsingh around the perception that girls choose not to do Physics because 'there's a lot of hard maths in there that ...they would rather not do' are at odds with the culture we build and nurture at the GDST. As pioneers in girls' education, embracing challenges and going beyond is art the heart of what we do.

In a year in which we will launch our new Space Technology Programme in partnership with the University of Hertfordshire, and the NASA STEM Engagement & Educator Development Collaborative (EPDC), on offer to our Y12 students across our family of 24 senior schools from September 2022, there has never been a better time to study Maths and Physics in a GDST school.

"GDST alumnae around the world are building a more equitable scientific community that is more innovative, impactful and exciting."

Rebecca Brown, Trust Consultant Teacher for Maths, believes that Ms Birbalsingh's comment does not help to change the conversation about STEM subjects being the preserve of boys. 'A lot of hard maths that girls would rather not do?!' she exclaims, 'What message does this send to the women of the future? It's quite the opposite for girls at the GDST: for many of our students, the harder the maths the better! They relish an opportunity to delve into challenges and enrich themselves in problems beyond the standard curriculum.'

One such example is the Sheffield Girls' GDST collaboration with Porsche. Year 11 and Year 13 students explored themes of emancipation, women's rights and 'reclaiming the narrative' to inspire their collaborative design during this partnership project. Nina Gunson, Head of Sheffield Girls', explains: 'This partnership project has given our students the opportunity to collaborate with an iconic brand and challenge thinking, as well as find out more about the huge range of careers open to women in the automotive industry.'

"Girls and young women are often simply put off choosing maths and science because of external influences around toxic stereotyping: but the fact remains that numbers of girls choosing science subjects is far greater at girls-only schools."

Indeed, it is such opportunities on offer in our schools that allow students to realise there is nothing holding them back from pursuing STEM subjects such as Physics at A-level and degree level if they so choose. Dr Kevin Stannard, the GDST's Director of Learning & Innovation explains. 'There is plenty of evidence to show that girls and young women are often put off choosing maths and science, often at an early age, because of external influences, around toxic stereotyping,' he says. 'The closest thing to a control sample is the fact that numbers of girls choosing science subjects is far greater at girls-only schools. Recent research also shows quite clearly that, when they choose science subjects at schools, girls typically do better than boys.' In 2021, 60.8% of Year 13 girls across the GDST schools sat A-levels in one or more STEM subject. 39% of all GDST students took Maths, with 54% of these gaining A*, which, under the new specifications is reserved only for those who show a true in-depth knowledge of the subject's application.

In September 2022, we launch our pilot of the GDST Space Technology Programme created by Sutton High School Physics teacher Nicola Buttigieg and launched in partnership with the University of Hertfordshire, and the NASA STEM Engagement & Educator Development Collaborative (EPDC). We are working to produce modules with institutions such as NASA Langley Research Center, University of Leicester (Space Park), University of Warwick Satellite Programme and UK National Centre for Earth Observation. 'The elements of Computer Science in space programming revolve around creative solutions using logic to make something work,' explains Nicola, 'with students making sense of patterns and combinations of text. It is not all just 'maths'. This programme will engage and challenge students and hopefully show the diverse range of ways in which they can apply and enjoy STEM.'

We are proud to count physicists such as being put off: perhaps another reason for our higher than average uptake in Science. 'Science is not just about those eureka moments,' agrees Dr Emily Grossman, Imperial College's Dr Jess Wade amongst our alumnae, whose work to challenge gender stereotypes in the world of Science included a campaign to lobby Wikipedia to more proactively recognise women's historic contributions to Science. 'Historically, the people who do science haven't looked like the societies they serve,' Dr Wade points out. 'All around the world GDST alumnae are changing that: building a more equitable scientific community that is also more innovative, impactful and exciting.' Similarly, the inclusive approach we take to STEM across the GDST means encouraging our students to get comfortable with failure, trying again and precisely South Hampstead High School alumna. 'It's about getting curious, asking questions and not being afraid of making mistakes.'

Rebecca Brown summarises: 'All girls can be great at Maths,' she says, 'and in the GDST we don't have to work hard to change the stereotype that girls are not mathematicians, because our girls have brilliant role models as teachers who instil a love of maths in our students, as well as classrooms devoid of harmful stereotypes holding them back.'

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"For a lot of our girls the harder the maths the better! They relish an opportunity to delve into problems beyond the standard curriculum and to enrich themselves" - Girls' Day School Trust

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At the GDST, we are proud to be able to run groundbreaking initiatives that result in statistics to buck the trend and break the stereotypes when it comes to encouraging young women into STEM.

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Meet Rebecca Brown

Rebecca Brown aims to change girls' perception of Maths and address the issue of under-representation of females in Maths careers.

Her role involves supporting Heads of Maths across the GDST, training and coaching, disseminating exciting educational developments and inspiring teaching strategies to ensure Maths education across the GDST is the very best it can be. She began her educational career through the Teach First programme, teaching in disadvantaged communities.

She now teaches Maths at Wimbledon High School having previously been Head of Maths at another GDST school.

Getting to know me...
What is your name and job title?
I am Rebecca Brown, teacher of Maths at Wimbledon High School and the GDST Maths Trust Consultant Teacher.
What is your role at the GDST?
I support our Junior and Senior schools to deliver excellent teaching and learning in Maths, by providing opportunities for collaboration, pupil events, resource sharing and professional development.

"My vision is for us to be leaders in girls' Maths education"
When did you start this role?
I began discussions about the role in March 2019, but I was on maternity leave with my second daughter, so I officially began the role in September 2020.
What did you do before this?
After a brief stint in banking at HSBC, I followed my desire to inspire young people in Maths. I trained as a teacher, as part of the Teach First programme, working in schools helping to address educational disadvantage. I have now been teaching Maths for over thirteen years, having worked in two GDST schools, Norwich High School for Girls and Wimbledon High School. I was previously Head of Maths at Wimbledon High School where I currently teach Maths.
Why did you want to take on the Trust Consultant role?
I am passionate about instilling a love of learning Maths in girls and wanted to be able to support teachers to share this enthusiasm across the GDST. My vision is for us to be leaders in girls' Maths education.
What does your TCT role involve on an average day?
My primary focus is to support the schools with their Maths teaching and learning, with a view to providing opportunities for girls to have fun and feel the excitement of learning Maths. This includes facilitating meet ups between senior heads of Maths and Maths leads in schools, and coordinating competitions and pupil events. I also communicate with exam boards and share information to the schools.
What do you bring to the role of TCT for Maths?
I am passionate about education and driven to share that enthusiasm and excitement about the future of Maths for GDST girls. I am approachable, open and maintain an up to date knowledge of Maths and surrounding issues for me to be able to best support schools and give GDST girls the best education possible.

"Maths is all around us. It is in everything we do and everywhere we go"
This is an area you obviously feel very engaged with. Why?
Maths is all around us. It is in everything we do and everywhere we go. From music to sport, from geography to biology. Coding, algorithms, programming, problem-solving. It is our history. It is our future. It is in the technology in our hands, and on our screens. It is shaping our world and is the beauty that surrounds us. Maths education should be dynamic, exciting, and personalised. I want women of the future to be proud and confident of embracing Maths.
What one moment have you cherished in your education career?
That moment when you know you have changed someone's life by giving them the support that they need.
Who were your role models growing up?
My mother who is strong, positive, and made me believe in myself.

"I am so proud to be part of inspiring and supporting our women of the future"
What does being part of the GDST mean to you?
I resonate completely with the GDST vision of teaching girls to be confident, happy and fearless with the belief that there is no limit to what they can achieve. I am so proud to be part of inspiring and supporting our women of the future.
What do you do when you are not at work?
As a mother of two girls (age four and one) most of my time when I am not at work is taken up with my daughters' curiosities and inquiries! I can often be found dressed as a pirate or fairy, delving into the magical world of make believe. I am sociable and love nothing more than enjoying good food with friends and family. Pre-pandemic, our house is was a chaotic trail of excitement of friends and family popping round for a chat and a catch up.
What's your favourite quote and why?
"Do not worry too much about your difficulties in Mathematics, I can assure you that mine are still greater." Albert Einstein. I feel this instils a permission to find Maths hard, make mistakes and creates a safe culture for learning Maths - crucial to girls' education.

From my daughters, to all girls - "have courage and be kind" - Cinderella.
What do you think is the secret of happiness? Where do you feel your happiest?
I am at my happiest when I am helping others. That's what makes me (mostly) a great mother and great teacher. I feel my happiest when I am with my family and when I am close to water. In particular, walking along a beach in North Norfolk.
Describe yourself in five words.
Personable, Loyal, Positive, Energetic, Caring

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Trust Consultant Teacher for Maths - Girls' Day School Trust

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Rebecca Brown aims to change girls' perception of Maths and address the issue of under-representation of females in Maths careers. Her role involves supporting Heads of Maths across the GDST, training and coaching, disseminating exciting educational developments and inspiring teaching strategies to ensure Maths education across the GDST is the very best it can be.

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Junior school students are taking part in an exciting Maths competition this week

GDST Junior Schools are taking part in an exciting Maths competition this week. The GDST Maths Junior Rock Out 2021 will be played online via play.ttrockstars.com and is open to Year 4, Year 5 and Year 6.

For every correct answer to a multiplication or division question, girls will earn their class a point. The Times Tables Rock Stars platform will calculate the class average (the number of correct answers per pupil in the class who play during the competition hours). Winning classes in the school across the GDST as a whole will be the ones with the highest average. Winners will be announced on Friday.

All game modes (Gig, Garage, Studio, etc.) will count but only from games played between 7.00am and 7.00pm on Monday 25th, Tuesday 26th, Wednesday 27th and Thursday 28th January - obviously there should be a sensible limit and should not impact on family plans!

Times Tables Rockstars is engaging, competitive and improves the girl's arithmetic.

As Schools Minister Nick Gibb said:

"You will see children delighted with the sense of achievement which comes from mastering mathematical knowledge." We wish all of our Junior Schools good luck and look forward to seeing the results on Friday.

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GDST Maths Junior Rock Out - Girls' Day School Trust

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Junior school students are taking part in an exciting Maths competition this week GDST Junior Schools are taking part in an exciting Maths competition this week. The GDST Maths Junior Rock Out 2021 will be played online via play.ttrockstars.com and is open to Year 4, Year 5 and Year 6.

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14th – 18th November 2022

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Maths Week England - 13th - 18th November 2023

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If you enjoyed Maths Week England 2023, why not treat yourself to a souvenir?

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Maths Inspiration Shows for Y11 & 12- Autumn 2022

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Maths Inspiration is a national programme of interactive maths lecture shows for teenagers. We want to show 14-17 year olds that there's far more to maths than taking exams. We give them a chance to experience the UK's most inspiring maths speakers presenting mathematics live in the context of exciting, real-world applications. Our shows are exceptional value for money.

We usually hold our events in theatres, because nothing beats the experience of watching a show in person, but we also do occasional live shows online.

Maths Inspiration began in 2004. Since then over 200,000 teenagers have attended our shows making us one of the largest and most successful maths enrichment programmes in the UK.
MATHS FEST. We also run a parallel set of events in the spring called Maths Fest. Maths Fest is an all day event, aimed at sixth formers and Year 11s who are already 'into' maths. The all-day format includes Maths Slam in which students get a chance to present lightning maths talks, a short session on exam-technique, and time during breaks to tackle puzzles, talk to university students, and visit exhibitor stands. Details of Maths Fest can be found at: www.Maths-Fest.com REGISTER WITH US HERE

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Maths Inspiration - Inspire your teenagers with our interactive maths show

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Maths Inspiration is a programme of maths enrichment lecture shows for teenagers around the UK. It's a chance for Year 11s and sixth formers to experience inspiring maths speakers live, in theatres and concert halls

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Free resources for younger problem solvers

These digital resources are designed to support secondary schools running mathematics events for feeder schools. Any registered UKMT centre (including primary schools) may access the resources free of charge and use them as they wish.

How do I get access?

To download the Primary Team Maths Resources, you must be logged in as an approved user from registered UKMT centre. Please log in or create a new account if you do not already have one in order to access the resources below. The resources are not available to parents or private tutors.

What is in the pack of resources?

The resources are arranged into seven rounds, some of which are inspired by our Team Maths Challenge. Each round is designed for teams of four.

Group Round (Download sample Group Round)

Each team is given a set of questions, which they should divide up among themselves so that they can answer as many as possible in the allotted time.

Crossnumber
Download sample Crossnumber (PDF)
The team splits into pairs. One pair tackles the down clues and the other tackles the across clues.

Shuttle
Download sample Shuttle (PDF)
Working in pairs, teams attempt sequences of four linked problems, where the answer to question one feeds into question two, and so on.

Relay
Download sample Relay (PDF)
This round combines teamwork and speed and involves contestants moving around the room.

Speed Test
Download sample Speed Test (PDF)
A quick-fire round where contestants aim to answer any many questions as possible correctly in the allotted time.

Logic
Download sample Logic round (PDF)
The contestants organize themselves as they wish in order to solve a challenging logic puzzle.

Make a Number

Contestants try to make target numbers using a set of six numbers and the standard arithmetic symbols.

Can you help us?

If you or someone you know has benefited from our activities then please consider making a donation.

Find out more about volunteering with us.

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Free resources for younger problem solvers These digital resources are designed to support secondary schools running mathematics events for feeder schools. Any registered UKMT centre (including primary schools) may access the resources free of charge and use them as they wish.

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Promoting a love of Problem Solving.
Solo challenges - Junior (26 April) Intermediate (1 Feb) and Senior (4 Oct).

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Solo Challenges Junior Year 8 or below S2 or below Year 9 or below Junior Mathematical Challenge Junior Kangaroo Junior Mathematical Olympiad Intermediate Year 11 or below S4 or below Year 12 or below

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Maths Inspiration half day shows for Sixth Form - 9, 10, 27, 28 Feb 2023 Book in advance

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Matt Parker runs Think Maths which sees experienced mathematics speakers give engaging talks in schools and Rob Eastaway runs the highly successful Maths Inspiration half day shows. Together they are very, very excited about Maths Fest.

The goal of Maths Fest is to take your sixth-form maths students (and top-set GCSE if you'd like to bring them) and return them to you motivated for their maths studies at school. Maths Fest celebrates maths as an exciting, useful and rewarding subject and encourages students to take maths further by working hard when back at school.

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Matt Parker runs Think Maths which sees experienced mathematics speakers give engaging talks in schools and Rob Eastaway runs the highly successful Maths Inspiration half day shows. Together they are very, very excited about Maths Fest.