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Squirty

14 to 16

Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.

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Match the matches

7 to 11

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

problem

More pebbles

7 to 11

Have a go at this 3D extension to the Pebbles problem.

problem

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Roll these dice

7 to 11

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

problem

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Buying a balloon

7 to 11

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

problem

Look before you leap

16 to 18

Relate these algebraic expressions to geometrical diagrams.

problem

Human food

7 to 14

Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?