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problem

Coins

11 to 14

A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

problem

Building with cubes

5 to 7

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

problem

Birds in the garden

5 to 11

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

problem

Tiling

7 to 11

An investigation that gives you the opportunity to make and justify predictions.

problem

Fracmax

14 to 16

Find the maximum value of 1/p + 1/q + 1/r where this sum is less than 1 and p, q, and r are positive integers.

problem

Towards Maclaurin

16 to 18

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

problem

Squareflake

16 to 18

A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.