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problem

Interpenetrating Solids

16 to 18

This problem provides training in visualisation and representation of 3D shapes. You will need to imagine rotating cubes, squashing cubes and even superimposing cubes!

problem

More Children and Plants

7 to 14

This challenge extends the Plants investigation so now four or more children are involved.

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Grid Lockout

14 to 16

What remainders do you get when square numbers are divided by 4?

problem

Triominoes

11 to 14

A triomino is a flat L shape made from 3 square tiles. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. Can you cover the board with trionimoes so that only the square is exposed?

problem

Dicey Dice

16 to 18

Invent a set of three dice where each one is better than one of the others?

problem

Favourite

Ring of Numbers

5 to 7

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

problem

Favourite

Right Angles

11 to 14

Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

problem

Favourite

Harmonically

16 to 18

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

problem

Rope Mat

7 to 11

How many centimetres of rope will I need to make another mat just like the one I have here?

problem

Charitable Pennies

7 to 14

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.