Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Let's Face It

Stage: 2 Challenge Level:

In this problem, you will probably find it helps to do the solution practically. A good way to do this is to draw the net of a cube and to mark a $4$ by $4$ square on each face. Then fill in the numbers for the magic square on one face.

 1 8 12 13 15 10 6 3 14 11 7 2 4 5 9 16

After that you need to work your way over the net, putting a variation of the magic square on each face, and making the numbers coming on the edges of the cube correspond. Then you can make your net into a cube. We'll leave that to you!

This solution to the problem was sent in by Joel of ACS Independent, Singapore.

Here you have the net of a cube with a magic square on each face.

 13 2 3 16 11 8 5 10 6 9 12 7 4 15 14 1 13 11 6 4 4 15 14 1 1 7 10 16 8 2 15 9 9 6 7 12 12 14 3 5 12 14 3 5 5 10 11 8 8 2 15 9 1 7 10 16 16 3 2 13 13 11 6 4 16 3 2 13 10 5 8 11 7 12 9 6 1 14 15 4 1 14 15 4 12 7 6 9 8 11 10 5 13 2 3 16