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T for Tan

Age 16 to 18 Challenge Level:

Can you find a way to prove the trig identities using a diagram?

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Table Height

Age 14 to 16 Short Challenge Level:

A table has blocks of wood placed on and next to it. Can you work out how tall it is?

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Table Patterns Go Wild!

Age 7 to 11 Challenge Level:

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

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Table Total

Age 14 to 16 Short Challenge Level:

Can you find the sum of all of the numbers in the table?

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Tables Teaser

Age 5 to 7 Challenge Level:

How will you work out which numbers have been used to create this multiplication square?

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Tables Without Tens

Age 7 to 11 Challenge Level:

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

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Tac-tickle

Age 5 to 11 Challenge Level:

This is a challenging game of strategy for two players with many interesting variations.

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Tadpoles

Age 14 to 16 Short Challenge Level:

Weekly Problem 7 - 2014
The diagram shows a shaded shape bounded by circular arcs. What is the difference in area betweeen this and the equilateral triangle shown?

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Take a ... Geoboard

Age 5 to 11

This article for teachers explains why geoboards are such an invaluable resource and introduces several tasks which make use of them.

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Take a Fresh Look

Age 5 to 11

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Take a Fresh Look

Age 5 to 11

These problems invite you to look again at ideas you may think you know inside-out.

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Take a Leaf

Age 11 to 14 Short Challenge Level:

An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?

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Take a Message Soldier

Age 14 to 18 Challenge Level:

A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?

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Take a Square

Age 14 to 16 Challenge Level:

Cut off three right angled isosceles triangles to produce a pentagon. With two lines, cut the pentagon into three parts which can be rearranged into another square.

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Take One Example

Age 5 to 11

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

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Take One Metre

Age 5 to 7 Challenge Level:

You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?

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Take Some ... Counters

Age 5 to 11

This article for primary teachers outlines how using counters can support mathematical teaching and learning.

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Take Some ... Cubes

Age 5 to 11

In this article we outline how cubes can support children in working mathematically and draw attention to tasks which exemplify this.

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Take Ten

Age 11 to 14 Challenge Level:

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?

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Take Ten Sticks

Age 11 to 16 Challenge Level:

Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

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Take the Right Angle

Age 7 to 11 Challenge Level:

How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.

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Take Three from Five

Age 14 to 16 Challenge Level:

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

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Take Three from Five Poster

Age 11 to 14 Challenge Level:

Take Three From Five - December 2011

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Take Three Numbers

Age 7 to 11 Challenge Level:

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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Take Your Dog for a Walk

Age 7 to 11 Challenge Level:

Use the interactivity to move Mr Pearson and his dog. Can you move him so that the graph shows a curve?

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Takeaway Time

Age 14 to 16 Short Challenge Level:

Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?

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Taking a Die for a Walk

Age 5 to 11 Challenge Level:

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

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Taking Chances

Age 11 to 14 Challenge Level:

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.

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Taking Chances Extended

Age 14 to 18

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.

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Taking Steps

Age 7 to 11 Challenge Level:

In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.

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Taking Trigonometry Series-ly

Age 16 to 18 Challenge Level:

Look at the advanced way of viewing sin and cos through their power series.

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Talking about Maths - 1

Age 7 to 18

The first of two articles for teachers explaining how to include talk in maths presentations.

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Talking about Maths - 2

Age 7 to 18

The second of two articles explaining how to include talk in maths presentations.

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Talulah's Tulips

Age 11 to 14 Short Challenge Level:

Weekly Problem 10 - 2017
Talulah plants some tulip bulbs. When they flower, she notices something interesting about the colours. What fraction of the tulips are white?

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Tandems

Age 7 to 11 Challenge Level:

A fun game for two. You'll need some counters.

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Tangled Trig Graphs

Age 16 to 18 Challenge Level:

Can you work out the equations of the trig graphs I used to make my pattern?

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Tangles

Age 11 to 16

A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?

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Tangling and Untangling

Twisting and turning with ropes can be encoded mathematically using fractions. Can you find a way to get back to zero?

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Tangram Area

Age 11 to 14 Short Challenge Level:

Weekly Problem 29 - 2008
The seven pieces in this 12 cm by 12 cm square make a Tangram set. What is the area of the shaded parallelogram?

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Tangram Paradox

Age 7 to 11 Challenge Level:

How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!

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Tangram Pictures

Age 5 to 14 Challenge Level:

Use the tangram pieces to make our pictures, or to design some of your own!

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Tangram Tangle

Age 5 to 7 Challenge Level:

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

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Tangrams

Age 5 to 7 Challenge Level:

Can you make five differently sized squares from the tangram pieces?

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Tantrix Discovery

Age 5 to 7 Challenge Level:

A fun puzzle with tantrix tiles.

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Target Archery

Age 7 to 11 Challenge Level:

A simulation of target archery practice

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Target Six

Age 16 to 18 Challenge Level:

Show that x = 1 is a solution of the equation x^(3/2) - 8x^(-3/2) = 7 and find all other solutions.

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Tasks for an Adult and Child

Age 3 to 11 Challenge Level:

This collection of tasks are for an adult and child working together.

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Tasks Promoting Inquiry

Age 11 to 18 Challenge Level:

Video for teachers of a talk given by Dan Meyer in Cambridge in March 2013.

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Tasks with Interactives

Age 5 to 11

teacher collection

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Tea Cups

Age 7 to 14 Challenge Level:

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.