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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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Classroom Challenges are lessons that support teachers in formative assessment. There are 100 lessons in total, 20 at each grade from 6 to 8 and 40 for ‘Career and College Readiness’ at High School Grades 9 and above. Some lessons are focused on developing math concepts, others on solving non-routin…

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Brilliant - Build quantitative skills in math, science, and computer science with hands-on, interactive lessons.

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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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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.

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About

Forget knowledge organisers, for the maths classroom it is all about Frayer Models!

Frayer Models are an excellent way to collate key notes and examples for pupils, to support in lesson work or retrieval quizzing.

​

All of the Frayer Models featured on the site download in Microsoft Word ™ and are fully editable to suit your classroom and your pupils.

Contact

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About Forget knowledge organisers, for the maths classroom it is all about Frayer Models! Frayer Models are an excellent way to collate key notes and examples for pupils, to support in lesson work or retrieval quizzing. ​ All of the Frayer Models featured on the site download in Microsoft Word ™ and are fully editable to suit your classroom and your pupils.

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We have recently launched a new website. Many of the old links won't work and it could be a while before all the links to our site via search engines are up-to-date. If you have arrived here expecting specific content as a result of the link you clicked or the search you made, please try the search tool above - you should quickly find what you're looking for.

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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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Go Teach Maths: Handcrafted Resources for Maths Teachers

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Homepage - Go Teach Maths: Handcrafted Resources for Maths Teachers

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Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes.

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Maths for Primary and Secondary

Resources for students and teachers

Access hundreds of quizzes and other interactive activities that will help you enjoy and improve your maths whether you are at school or at home. There are thousands of carefully designed questions to improve maths knowledge and help develop fluency in important maths skills. These activities, developed for ks1 up to GCSE, have been helping students to better their target grades for more than ten years.

You can access the activities for free, but if you sign up for an account activities will be grouped together by topic and your scores for the interactive games and quizzes will be saved so that you can keep track of your progress.

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Popular with both teachers and students, the questions in these free maths resources are carefully crafted and include the answers. They are designed to help students to take the first steps in each topic, then strengthen and extend their knowledge and skills. The resources include revision questions for KS2 SATs and GCSE.

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The Corbettmaths 5-a-day for the 9-1 GCSE.

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This is our main intervention that aims to increase the mental strategies, timestables and key skills fluency of KS3 students, preparing them for later KS4 study. The emphasis is on this being a regular, short exercise at the beginning of KS3 lessons lasting no more than 10 mins. There should be a sense of real pace to a well-conducted Ninja session!

Preparation

Decide how many sessions you will run Numeracy Ninjas each week. We advise every KS3 lesson for the first 10 weeks then adjusting accordingly.

Download the relevant Ninja Skill Books and print/photocopy one copy for each student. We've made these free to download; of course, you'll have to meet the costs of printing/photocopying!

Download the Numeracy Ninjas PowerPoint and make sure all teachers can access it.

Download the Numeracy Ninjas Record Spreadsheet and make sure all teachers can access it.

In-Class Delivery

The whole session should be completed within 10 mins. The emphasis is on this being regular, quick fluency practice, not on it becoming a whole lesson.

Open the Numeracy Ninjas Powerpoint, place it in Slideshow mode and click the link to the relevant week and session. Have this displayed as your students enter the room. They collect their Ninja Skill Book and open it to the relevant page, ready to begin.

When all students are ready, click to go to the next slide on the PowerPoint which will then say, click the logo to begin.

Click the logo and the 5 minute timer will start. You will see the circular belt badges fade out as the time progresses. Students complete as many questions from their Ninja Skill Books as they can during this time. The Mental Strategies and Timestables sections should be done mentally; they may use written calculations in the space provided for the questions.

Circulate whilst students are working on the task, gaining some AFL on which questions would be good to briefly discuss when students mark their answers.

Your time is up! will appear at the end of the 5 minutes. Students then get themselves ready to mark their answers.

Click through the next 3 slides on the PowerPoint reading out the answers whilst the students mark their work. Briefly discuss strategies with the class for particular questions that you picked up from your AFL.

Click to the next slide on the PowerPoint which will display the Ninja Score-Belt poster. Students add up their scores for each of the 3 sections and calculate their Ninja Score. They look up which colour they have achieved.

Finally, open the Numeracy Ninjas Record Spreadsheet and enter the students' scores into the relevant session as they read them out.

Collect in the Ninja Skill Books and carry on with teaching the syllabus!

Ongoing

Each half term award the highest performing and most improved students in each class Grand Master status. You can give them Grand Master certificates (available to download for free from the Promotional Materials page) or celebrate their success with prizes from our Online Shop.

Numeracy Ninja Skill Focus Worksheets

This is a suite of additional intervention materials which allow students to work on improving individual topics. There are 10 days of exercises in each Ninja Skill Focus Worksheet. Students complete the exercises each day, consecutively for 10 days. They may like to record the time it took to complete the exercises so they can see their progress.

For more information on how to run this intervention, and to download the Ninja Skill Focus Worksheets click here.

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This is our main intervention that aims to increase the mental strategies, timestables and key skills fluency of KS3 students, preparing them for later KS4 study. The emphasis is on this being a regular, short exercise at the beginning of KS3 lessons lasting no more than 10 mins.

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Terms and Conditions | Privacy | Contact Us | Copyright © Mathsbox Limited

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If you would like to contribute there is a basic template to fill in below, please send these to me on grant@accessmaths.co.uk along with you name/twitter handle and I will get it written up and added on! If there are any requests for any topics then please e-mail me and I will do my best to add them on. Please check the topic search file for topics left to complete.

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Angles: compass directions Video 27b Practice Questions

Area: quarter-circle Video 47a Practice Questions

Averages: combined mean Video 53a Practice Questions Textbook Exercise

Averages: mode (frequency table) Video 56a

Averages: range (frequency tables) Video 57a

Averages: Quartiles Video 57b Practice Questions

Circles: perimeter - quarter-circle Video 62a Practice Questions

Circle theorems proof: right angle in a semi-circle Video 65a Practice Questions

Circle theorems proof: angles at circumference\centre Video 65b Practice Questions

Circle theorems proof: angles in the same segment Video 65c Practice Questions

Circle theorems proof: cyclic quadrilaterals Video 65d Practice Questions

Circle theorems proof: alternate segment theorem Video 65e Practice Questions

Circle theorems proof: radius and tangent proof Video 65f Practice Questions

Circle theorems proof: Textbook Exercise

Constructions: loci part 3 Video 77 Practice Questions Textbook Exercise

Coordinates: 3D Video 86 Practice Questions

Data handling cycle Video 89 Practice Questions

Dimensional analysis Video 97 Practice Questions

Division: long division Video 98a

Enlargements: ray method Video 109 Practice Questions

Equations: involving fractions Video 111 Practice Questions Textbook Exercise

Equations: x squared Video 116a Practice Questions

Equations: Think of a number Video 116b Practice Questions

Factorisation: splitting the middle Video 119a Textbook Exercise

Factorisation: difference of 2 squares Video 120 Practice Questions Textbook Exercise

Fractions: finding the midpoint Video 141a Practice Questions

Graphs composite bar charts Video 148a

Graphs: dual bar charts Video 148b

Graphs: misleading graphs Video 160a

Graphs: real life linear graphs Video 171a

Linear graphs: real life Video 198a

Money - See Video 400 or click here for collection

Multiplication: grid method Video 199 Practice Questions Textbook 1 Textbook 2

Multiplication: column method Video 200 Practice Questions Textbook 1 Textbook 2

Multiplication: times tables Video 204a Textbook Exercise

Number: odd and even numbers Video 221a Practice Questions

Number: product of primes (squares/cubes) Video 223a Practice Questions Textbook

Percentages: simple interest Video 236a Practice Questions Textbook Exercise

Proportion: unitary method Video 255a Practice Questions Textbook Exercise

Proportion: Graphs Video 255b

Proportion: Time Video 255c

Pythagoras: area of a regular hexagon Video 262 Practice Questions

Quadratic graphs: sketching using key points Video 265 Textbook Exercise

Quadratic graphs: finding turning point Video 265a Practice Questions

Quadratic graphs: line of symmetry Video 265b

Quadratics: solving (factorising) Video 266 Practice Questions Textbook 1 Textbook 2

Quadratics: solving graphically Video 267c Practice Questions Textbook Exercise

Quadratics: solving graphically advanced Video 267d Practice Questions

Questionnaires Video 268 Practice Questions

Ratio: express as fractions or % Video 269a Practice Questions Textbook Exercise

Ratio: given two ratios Video 271a Textbook Exercise

Ratio: difference between Video 271b Textbook Exercise

Ratio: expressing as 1:n Video 271c Textbook Exercise

Ratio: equations/ratios Video 271d

Ratio: solving problems 1 Video 271e Textbook Exercise

Sampling: using samples Video 281a

Sampling: random Video 282 Practice Questions

Scales and maps Video 283 Practice Questions

Sequences: nth term for fractional sequences Video 289 Textbook Exercise

Similar shapes: definition Video 291 Practice Questions

Similar shapes: further Video 294 Practice Questions

Simultaneous equations (substitution, both linear) Video 296 Practice Questions

Simultaneous equations (graphical) Video 297 Textbook Exercise

Surface area: mixture Video 309 Practice Questions

Surface area: other prisms Video 312

Transformations: mixture Practice Questions

Transformations of graphs Video 323 Practice Questions

Transformations of trigonometric graphs Video 324 Practice Questions

Trigonometry: sine rule (ambiguous case) Video 334a Textbook Exercise

Trigonometry: area of a triangle Video 337 Proof Practice Questions Textbook Exercise

Types of data: primary & secondary Video 343a Practice Questions Textbook Exercise

Types of graph: cubics Video 344 Practice Questions

Types of graph: exponential Video 345 Practice Questions

Types of graph: reciprocal Video 346 Practice Questions

Types of graph: mixture

Units: types of metric and imperial unit Video 347 Practice Questions

Units: Converting imperial units for length Video 348a Practice Questions

Units: Converting imperial units for mass Video 348b Practice Questions

Units: Converting imperial units for capacity Video 348c Practice Questions

Units: metric to imperial (length) Video 349d Practice Questions

Units: metric to imperial (mass) Video 349e Practice Questions

Units: metric to imperial (capacity) Video 349f Practice Questions

Vectors Video 353 Practice Questions

Views: front/side elevation and plan view Video 354 Practice Questions

Volume: Frustum Video 360a Textbook Exercise

Additional Topics

Flow Charts Video 364 Practice Questions

Geometric Proof Video 366

Identities: Equating coefficients Video 367 Practice Questions

Identities, Formula, Equations etc Video 367a Practice Questions

Intersecting Chord Theorem Video 368a Practice Questions

Intersecting Secant Theorem Video 368b Practice Questions

Quadratic graph (completing the square) Video 371

Equation of a Tangent to a Circle Video 372 Practice Questions

Iteration Video 373 Practice Questions

Iterative Processes Video 373a

Change of Sign Video 373a Practice Questions

Arithmetic progressions Video 374

Geometric progressions Video 375

Set notation Video 379

Venn Diagrams Video 380 Practice Questions

Shortest distance from point to a line Video 381 Textbook Exercise

Time series Video 382

Population Density Video 384a Practice Questions

Invariant Points Video 392 Textbook Exercise

Simultaneous Equations (3 Unknowns) Video 393 Textbook Exercise

Measuring Lines Video 397 Practice Questions

Drawing Lines Video 397a Practice Questions

Money: Coins Video 400a Practice Questions

Money: Change Video 400b

Money: Buying Video 400c Practice Questions

Money: Regular Payments Video 400d Practice Questions

Money: Bills Video 400e

Money: Discounts Video 400f Practice Questions

Money: VAT Video 400g Practice Questions

Money: Wages Video 400h Practice Questions

Money: Bank Statements Video 400i Practice Questions

Money: Tax Video 400j Practice Questions

Money: Cost per kg Video 400k Practice Questions

Money: Cost per litre Video 400l Practice Questions

Money: Cost per metre Video 400m Practice Questions

Money: Reading meters Video 400n

Money: Profit Video 400p Practice Questions

Money: Greatest/Maximum Video 400q Practice Questions

Money: Estimation Video 400r Practice Questions

Money: Midpoint Video 400s Practice Questions

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Videos, Practice Questions and Textbook Exercises on every Secondary Maths topic

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Go Teach Maths: Handcrafted Resources for Maths Teachers

# data[].attributes.attachment_link.title
Homepage - Go Teach Maths: Handcrafted Resources for Maths Teachers

# data[].attributes.attachment_link.description
Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes.

# data[].attributes.attachment_link.readable_text
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