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problem

A roll of patterned paper

14 to 16

A design is repeated endlessly along a line - rather like a stream of paper coming off a roll. Make a strip that matches itself after rotation, or after reflection

problem

Oblique projection

11 to 14

Explore the properties of oblique projection.

article

Peg and pin boards

5 to 11

This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.

problem

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Giants

16 to 18

Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

problem

Constantly changing

14 to 16

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

problem

Witch's hat

11 to 16

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

problem

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Swimming pool

5 to 11

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?