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Prime Magic

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

Domino Magic Rectangle

An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...

Fifteen

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

Transformations Tables

Age 7 to 11 Challenge Level:

This solution comes from Chris. Well done!

22 20 18 16 14
26 24 22 20 18
30 28 26 24 22
34 32 30 28 26
38 36 34 32 30

The diagonal is the same as +2, because it's the same as + 4 then - 2.

2 6 18 54 162
4 12 36 108 324
8 24 72 216 648
16 48 144 432 1296
32 96 288 864 2592

The diagonal is the same as x 6, because it's x 2 and then x 3.

Completed table of line segments
The diagonal is the same as halving the width and doubling the height at the same time.