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These Olympic quantities have been jumbled up! Can you put them back together again?
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?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
What is the smallest number of answers you need to reveal in order to work out the missing headers?
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?
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?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Can you make sense of these three proofs of Pythagoras' Theorem?
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
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?
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
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?
The clues for this Sudoku are the product of the numbers in adjacent squares.
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?
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
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?
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
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?
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
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?