Age 7-11
Magic square
This is a magic square. The numbers in any row, column or diagonal have the same total.
But one of the numbers is incorrect.
Which number is it?
What should it be?
Age 11-14
Differences
Find the two smallest whole numbers where the difference of their squares is a cube, and the difference of their cubes is a square.
Brainteaser solutions from page 30
Magic square
23 10 17 4 11
6 18 5 12 24
19 1 13 25 7
2 14 21 8 20
15 22 9 16 3
Differences
The smallest whole numbers are 6 and 10:
102 - 62 = 100 - 36 = 64 = 43
103 - 63 = 1,000 - 216 = 784 = 282
Magic square
23 10 17 4 11
6 18 5 12 24
19 1 13 25 7
2 14 21 8 20
15 22 9 16 3
Differences
The smallest whole numbers are 6 and 10:
102 - 62 = 100 - 36 = 64 = 43
103 - 63 = 1,000 - 216 = 784 = 282
