Being Collaborative - Number

Can you explain the strategy for winning this game with any target?

Can you select the missing digit(s) to find the largest multiple?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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...

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

The clues for this Sudoku are the product of the numbers in adjacent squares.

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

A jigsaw where pieces only go together if the fractions are equivalent.

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Here's a chance to work with large numbers...

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Can all unit fractions be written as the sum of two unit fractions?

Here is a chance to play a fractions version of the classic Countdown Game.

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

These Olympic quantities have been jumbled up! Can you put them back together again?

By selecting digits for an addition grid, what targets can you make?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.