Square divided into four.

You must choose four different digits from 1-9 and put one in each box. For example:

Square divide into four, with 5,2,1 & 9 in the sections.

This gives four two-digit numbers:

52 (reading along the 1st row)
19 (reading along the 2nd row)
51 (reading down the left hand column)
29 (reading down the right hand column)

In this case their sum is 151.

Your challenge is to find four different digits that give four two-digit numbers which add to a total of 100.

How many ways can you find of doing it?

This problem is adapted from "Make 200" which appears in Mathematical Challenges for Able Pupils Key Stages 1 and 2, published by DfES. You can order copies on 0845 60 222 60 or via email: dfes@prolog.uk.com. Please quote code 0083/2000.