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These two group activities use mathematical reasoning - one is numerical, one geometric. Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules. Worms

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?

Rod Measures

Age 7 to 11 Challenge Level:

There was a great deal in this problem and James has answered part of it:

Using only three rods with each one not exceeding 10 you can add and minus the following numbers which can go from 1-13.

The three numbers are 9, 3 and 1.

 1 = 1 2 = 3-1 3 = 3 4 = 3+1 5 = 9-3-1 6 = 9-3 7 = 9-3+1 8 = 9-1 9 = 9 10 = 9+1 11 = 9+3-1 12 = 9+3 13 = 9+3+1!

Well done James. Is 13 the largest number and why?

Can any of you help with some of the rest of the question:

In how many ways can you make 10?

What is the maximum number you can make with 4 rods?

Perhaps you can send in some more ideas.