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

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

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

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

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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?

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

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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...

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

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

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

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

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

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

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

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

A collection of short problems on factors, multiples and primes.

This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.

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

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

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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?

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

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

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Can you create a Latin Square from multiples of a six digit number?

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

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