### Patio

A square patio was tiled with square tiles all the same size. Some of the tiles were removed from the middle of the patio in order to make a square flower bed, but the number of the remaining tiles was still a square number. What were the dimensions of the patio and the flower bed?

### Time of Birth

A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?

### Square Routes

How many four digit square numbers are composed of even numerals? What four digit square numbers can be reversed and become the square of another number?

# Square Sum

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

One of the following is the largest of nine consecutive positive integers whose sum is a perfect square. Which one is it?

A: 118, B: 128, C: 138, D:148, E:158

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.