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Affordable, personalised mathematics tuition for pupils, students and learners in primary, secondary and FE.

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Loads of amazing manipulatives for basic numeracy skills

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Online manipulatives bring all of the learning and fun without the mess. Our math virtual manipulatives help students grasp abstract concepts through modeling. Literacy virtual manipulatives create a fun space for practicing spelling, rhyming, and more!

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Virtual Manipulatives | Mathematical Modelling | Toy Theater

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Original teaching tools aimed at supporting teachers in the elementary school classroom. Two color counters, 3D dice, probability spinners, graph builders, fraction bars, base ten blocks, and more!

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Really good for manipulatives but also generating questions and WEP

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Interactive tools and activites to aid the teaching of mathematics. Hundreds of randomly generated questions and answers.

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Graphing

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Maths GIFS!

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Math Animated Gifs on Geometry, Algebra, Trigonometry and more

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Geometry, trigonometry, Algebra and calculus animated gifs that show math concepts

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Don't spend hours marking books

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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.

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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.

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"...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."
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Mohammed Ladak, mathedup.co.uk

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Better results, more confidence, less time

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If you've arrived at this page looking for activities that will help you to develop your mathematical thinking skills, you may be interested in our new Thinking Mathematically Collection.

Are you a student who likes to think about mathematical problems?

Why not test and develop your skills with this special selection of NRICH problems? They have been chosen because they only make use of simple mathematical concepts (the sort encountered as some point early in Stage 3): the emphasis is on the thinking rather than the knowledge.

Why not print out the table and tick off the problems you have solved? Will you be able to crack them all? Don't forget, if you get stuck you can look at the Hint or Solution at the top of each problem.

Happy solving!

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On this page we give a selection of good starter activities for those new to NRICH

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Alex Bellos writes about mathematics and is the author of the puzzle book Can You Solve My Problems?

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Puzzle Library All the PDFs of puzzles and solutions are shared (for free), please consider donating if you find them useful! If you cannot access the PDFs then try viewing them with your browser in private mode.

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Home

CHALLENGING MATH PROBLEMS WORTH SOLVING

DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL

WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS?

HERE'S OUR GROWING COLLECTION

WANT TO SHARE OPEN MIDDLE WITH OTHERS?

CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK

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CHALLENGING MATH PROBLEMS WORTH SOLVING DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL Get Our Favorite Problems Take The Online Workshop WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS? HERE’S OUR GROWING COLLECTION Get Google Slide Versions WANT TO SHARE OPEN MIDDLE WITH OTHERS? CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK Elementary Version

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Resourceaholic - free resources and ideas for teaching secondary school maths

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Welcome to Corbettmaths! Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more.

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Maths Genie - Free Online GCSE and A Level Maths Revision

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Maths Genie is a free GCSE and A Level revision site. It has past papers, mark schemes and model answers to GCSE and A Level exam questions.

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SKILLS CHECKS - free samples

Weekly skills checks and record sheets for Key Stage 1 and Year 4 to Year 13.
6 Different 'levels' for Key Stage 4

Great value for money with a school subscription costing only £60 +VAT for 12 months.
Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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SKILLS CHECKS - free samples Great value for money with a school subscription costing only £60 +VAT for 12 months. Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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In 2016, I attended #MathsConf7 in Leeds. The outcome? A to-do list longer than my arm as I intended to create a textbook of exercises of increasingly difficult questions to improve upon the standard textbook diet that we in the UK feed from. 's 'Best New Resources' ahead of EdExcel's materials to support the new GCSE.
Resourceaholic.com
In February 2020, Craig Barton announced me as 'the master of fluency practice' for these resources.
In April 2017, IDQs was announced as

In between these two times, I've had a promotion at work, a difficult time with a beloved family pet and a new arrival (Elizabeth Taylor, who is now 'not so new'), so time hasn't really been something that I've been accustomed to ...

... but I had turned my attention to randomising the Increasingly Difficult Questions as part of an eTextbook. A sample is available here and any feedback is absolutely welcome.

Anyway... Here are the sets of Increasingly Difficult Questions. I hope they're useful.

LEVEL 2 FURTHER MATHEMATICS

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In 2016, I attended #MathsConf7 in Leeds. The outcome? A to-do list longer than my arm as I intended to create a textbook of exercises of increasingly difficult questions to improve upon the standard...

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This website is my attempt to assemble a collection of high-quality, sequences of questions and examples using key principles from Variation Theory. By holding key features between questions and examples constant, together with the mathematical behaviour that I call Reflect, Expect, Check, Explain and the supporting role of the teacher, I believe we can help students better understand key mathematical ideas.

You can find out more about the site and the different types of sequences available by visiting the Introduction.

You can access all the sequences of questions and examples from the Topics menu above.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using these sequences effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the sequencers on the Variation Theory website are:

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Sequences and behaviour to enable mathematical thinking in the classroom - by Craig Barton @mrbartonmaths

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The latest entries posted on Interwoven Maths

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NonExamples.com - Something that is not an example of a rule or definition already shown, used for a clearer explanation.

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Since I started teaching three years ago, I've been well aware of the problems of traditional textbook exercises when introducing a class to a new concept, procedure. More often than not, textbook exercises became far too varied too quickly, with pupils becoming quickly unstuck, and it became difficult to identify the source of their confusion. Alternatively, it felt as though I was presenting students with 'just more practice of the same', which was deeply unsatisfactory (regardless of the prior attainment of the pupils).

Hence (and I am hugely indebted to Mr Barton and his book), creating sequences of intelligent, minimally varied practice questions seemed a reasonable step. When they are used to introduce pupils to a topic, they enable pupils to make connections and really focus on the underlying concept. The ones presented here are very much initial attempts - they are not a perfect model of how to write minimally varied exercises. All the same, I hope you find them of some use!

I am contactable at fortyninecubed (at) gmail . com, or on Twitter at @fortyninecubed.

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Since I started teaching three years ago, I've been well aware of the problems of traditional textbook exercises when introducing a class to a new concept, procedure. More often than not, textbook exercises became far too varied too quickly, with pupils becoming quickly unstuck, and it became difficult to identify the source of their confusion....

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Unfortunately, my father Don Steward passed away from Covid-19 on 3rd May 2020.

Throughout his working life he was passionate about improving the teaching of mathematics and has requested that all of his work remains freely available.

As per his wishes, I have uploaded all of his work to this Blog in the pages section which contains links to google drive where slides and presentations can be downloaded for free.

Don has also requested that those who use his work make a discretionary donation to charities supporting education in Africa.

We have set up a Justgiving fundraising page to support this wish below:
https://www.justgiving.com/fundraising/jessesteward

Many thanks for all of the kind messages we have received which are of great comfort to myself and the family.

Kind regards,

Jess

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ideas and resources for mathematics teachers of 10 to 16 year olds

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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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GeoGebra - the world's favorite, free math tools used by over 100 million students and teachers

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Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more

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arrow_back Back to Rich Tasks

Improving Learning in Mathematics (Standards Units) Rich Tasks

The "Improving Learning in Mathematics" (or Standards Units) resources are, in my opinion, some of the finest ever produced. They are rich, challenging, well thought-out and well resourced. In short, I love them.

From the NCETM website:

"This multi-media resource has been developed with teachers, trainers and managers. Improving Learning in Mathematics builds on existing successful practice and explores approaches that encourage a more active way of learning through the use of group work, discussion and open questioning. Learners are encouraged to 'have a go', become more independent and reflective about their mathematics, to learn to think mathematically rather than simply learning rules and most importantly, to enjoy their mathematics"

Mature_Maths_Trainee has kindly created and shared "classroom ready" versions of these outstanding resources, which not only save you a lot of time, but also contain tips, words or caution, and examples of students' work to help you have the most effective teaching and learning experience possible.

Below are the pdfs and PowerPoints of the main activities which I have found really engage and challenge my students. I would strongly recommend you give them a try!

Contents

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Standards Units Rich Tasks on Mr Barton Maths

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arrow_back Back to Rich Tasks Improving Learning in Mathematics (Standards Units) Rich Tasks The "Improving Learning in Mathematics" (or Standards Units) resources are, in my opinion, some of the finest ever produced. They are rich, challenging, well thought-out and well resourced. In short, I love them.

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Generate maths questions on loads of topics in seconds, and turn them into activities including worksheets, treasure hunts and bingo.

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Press enter to access the Maths Challenge Question Bank The Maths Challenge Question Bank is not publicly accessible (why).If you don't have access you can get the questions for your own use from the UKMT Resources website.

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GCSE revision papers

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Recorded by experienced teachers, these videos offer advice and ideas for colleagues, especially less experienced colleagues such as NQTs, or non-maths specialists, and TAs/tutors teaching small groups.

Particularly useful for Covid recovery, they cover key learning points, assessing prerequisite knowledge, key questions, language, representations and common misconceptions and pitfalls. They also include lesson ideas and activities for students.

Each video is accompanied by a supporting document of notes, explanations and further resources, and the PowerPoint slides used in the video. These resources are below the video playlist and can be downloaded as zip files.

"I have found these extremely helpful. As an NQT, these resources have been very useful to help me sequence topics so that students can gain a better understanding, and they also give me really good ideas for the language to use when explaining."
- Secondary Maths NQT
The video below is the first in a playlist. Click on the dropdown option below to view the other available videos. If you wish to download any of the videos, you can do so from the Vimeo showcase.

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Videos and resources for teaching Key Stage 3 maths topics

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Questions/revision per topic  (Including spicy questions)

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Questions/revision per topic  (Including spicy questions)

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1st Class Maths Instruction and Tuition.
Request a tutor or learn from my collection of free resources and instruction videos.

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The links below take you to a selection of short problems based on UKMT junior and intermediate mathematical challenge questions. We have chosen these problems because they are ideal for consolidating and assessing subject knowledge, mathematical thinking and problem-solving skills. You may wish to use these as lesson starters, homework tasks, or as part of internal assessment exercises.

Longer NRICH problems can be found on the Secondary Curriculum page.

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Short problems for Starters, Homework and Assessment

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The links below take you to a selection of short problems based on UKMT junior and intermediate mathematical challenge questions. We have chosen these problems because they are ideal for consolidating and assessing subject knowledge, mathematical thinking and problem-solving skills. You may wish to use these as lesson starters, homework tasks, or as part of internal assessment exercises.