You may also like

problem icon

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?

problem icon

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?

problem icon

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?

Weekly Problem 32 - 2007

Stage: 3 and 4 Challenge Level: Challenge Level:1

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.

View the previous week's solution
View the current weekly problem