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problem

Escher tessellations

7 to 11

This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.

problem

So it's 28

5 to 7

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.

problem

Strange bank account (part 2)

11 to 14

Investigate different ways of making £5 at Charlie's bank.

article

Digital roots

7 to 14

In this article for teachers, Bernard Bagnall describes how to find digital roots and suggests that they can be worth exploring when confronted by a sequence of numbers.

problem

Like powers

11 to 14

Investigate $1^n + 19^n + 20^n + 51^n + 57^n + 80^n + 82^n $ and $2^n + 12^n + 31^n + 40^n + 69^n + 71^n + 85^n$ for different values of n.

problem

Icosian game

11 to 14

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.

problem

Decimal time

11 to 14

Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?

problem

Rearrange the square

5 to 7

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

problem

Subject passion as a teaching tool

16 to 18

problem

The big cheese

7 to 11

Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?

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Escher tessellations

So it's 28

Strange bank account (part 2)

Digital roots

Like powers

Icosian game

Decimal time

Rearrange the square

Subject passion as a teaching tool

The big cheese