The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?

Smith and Jones

Stage: 4 Challenge Level:

Have you listed the square and cube numbers between 13 and
1300?

Consider how many numbers satisfy each set of conditions:
Less than 500, square and cube
Less than 500, square and not cube
Less than 500, not square and cube?