Or search by topic
Can you find out which 3D shape your partner has chosen before they work out your shape?
Use your knowledge of place value to try to win this game. How will you maximise your score?
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Are these statements always true, sometimes true or never true?
Are these statements always true, sometimes true or never true?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
How many possible symmetrical necklaces can you find? How do you know you've found them all?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?
Take three consecutive numbers and add them together. What do you notice?
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
How much of the square is coloured blue? How will the pattern continue?
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Can you make sense of these three proofs of Pythagoras' Theorem?
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Can you describe this route to infinity? Where will the arrows take you next?
Can you find the values at the vertices when you know the values on the edges?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
Which set of numbers that add to 100 have the largest product?
There are lots of different methods to find out what the shapes are worth - how many can you find?
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?