problem

Favourite

### Statement Snap

You'll need to know your number properties to win a game of Statement Snap...

game

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### Factors and Multiples Game

A game in which players take it in turns to choose a number. Can you block your opponent?

problem

Favourite

### Multiples Sudoku

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

problem

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### How much can we spend?

A country has decided to have just two different coins, 3z and 5z
coins. Which totals can be made? Is there a largest total that
cannot be made? How do you know?

problem

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### Diminishing Returns

How much of the square is coloured blue? How will the pattern continue?

problem

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### Sieve of Eratosthenes

Follow this recipe for sieving numbers and see what interesting patterns emerge.

problem

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### Gabriel's Problem

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

problem

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### American Billions

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...

problem

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### Factors and Multiples Puzzle

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

problem

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### Power mad!

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

problem

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### Alison's quilt

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

problem

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### Counting Factors

Is there an efficient way to work out how many factors a large number has?

problem

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### Funny Factorisation

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

problem

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### Take Three From Five

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?

problem

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### Stars

Can you work out what step size to take to ensure you visit all the dots on the circle?

problem

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### Product Sudoku

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

problem

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### Route to infinity

Can you describe this route to infinity? Where will the arrows take you next?

problem

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### Differences

Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?

problem

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### Shopping Basket

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

problem

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### Beelines

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

problem

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### LCM Sudoku

Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

problem

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### Expenses

What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?