Square numbers

problem

Summing Squares

Age

14 to 16

Challenge level

2 out of 3

Discover a way to sum square numbers by building cuboids from small cubes. Can you picture how the sequence will grow?
problem

Robert's Spreadsheet

Age

14 to 16

Challenge level

2 out of 3

Robert noticed some interesting patterns when he highlighted square numbers in a spreadsheet. Can you prove that the patterns will continue?
problem

No Square Sums

Age

14 to 16

Challenge level

2 out of 3

How many numbers do you need to remove to avoid making a perfect square?
problem

Few and Far Between?

Age

16 to 18

Challenge level

3 out of 3

Can you find some Pythagorean Triples where the two smaller numbers differ by 1?