Square numbers

problem

Smith and Jones

Age

14 to 16

Challenge level

Mr Smith and Mr Jones are two maths teachers. By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in... Or not!
problem

Summing Squares

Age

14 to 16

Challenge level

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

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

Few and Far Between?

Age

16 to 18

Challenge level

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