You may also like

problem icon

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

problem icon

Calendar Capers

Choose any three by three square of dates on a calendar page...

problem icon

Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

Anti-magic Square

Stage: 3 and 4 Short Challenge Level: Challenge Level:1
See all short problems arranged by curriculum topic in the short problems collection

A 4 by 4 "anti-magic square" is an arrangement of the numbers 1 to 16 inclusive in a square, so that the totals of each of the four rows and four columns and two main diagonals are ten consecutive numbers in some order. The diagram shows an incomplete magic square. Can you complete it?

Use the interactivity below

If you can see this message Flash may not be working in your browser
Please see http://nrich.maths.org/techhelp/#flash to enable it.

 

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.