Copyright © University of Cambridge. All rights reserved.

'Even Squares' printed from http://nrich.maths.org/

Show menu


 

In the diagram on the right, how many squares, of any size, are there whose entries add up to an even total?

 

1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25

 

 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 archive of all weekly problems grouped by curriculum topic

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