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Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

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This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?

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This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

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Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

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Are these statements relating to odd and even numbers always true, sometimes true or never true?

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Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

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In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

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In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

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How many possible necklaces can you find? And how do you know you've found them all?