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Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

A-magical Number Maze

Age 7 to 11 Challenge Level:

Why do this problem?

This problem gives practice in addition, subtraction and multiplication in an interesting way which will keep learners involved for much longer than a page of calculations! It also requires a systematic approach and illustrates the need to keep a record of routes already taken.

This sheet gives you twelve copies of the maze.

Key questions

Have you used every number in your route round the maze?
How do you know whether you have tried that way before or not?

Possible extension

Learners could systematically find all the possible numbers that can be made by going through the maze in different ways.

Possible support

Some learners might benefit from using a calculator to find the total for each route they try.