Partial Magic

This magic square has only been partially completed. Can you still solve it...
Age
11 to 14
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



In a magic square, each row, each column and both main diagonals have the same total. In the partially completed magic square shown, what number should replace x?

 

Partial Magic

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