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Interpenetrating solids
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!
Triominoes
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?

Perpendicular lines
problem
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Perpendicular Lines

14 to 16

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Tom's Number
problem

Tom's Number

7 to 11
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
An Average Average Speed
problem

An Average Average Speed

14 to 16

My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?

Box plot match
problem
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Box Plot Match

14 to 16

Match the cumulative frequency curves with their corresponding box plots.

Paper Partners
problem
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Paper Partners

5 to 7

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

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