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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?

# Dividing a Cake

### Why do this problem?

This problem gives learners practice in fractions (tenths) as well as in addition and subtraction in a challenging form.

This sheet has two copies of the cake with all the possible places to cut marked.

### Key questions

What is the total of all the numbers on the cake? What is that divided by $3$?

How many numbers are there altogether on the cake?
If we cut the cake so that there is just one number on each piece, what fraction of the whole cake would each piece be?

### Possible extension

Learners could change either the number of slices or the number of divisions and compare the results.

### Possible support

Suggest using a calculator to work out what is the total of the numbers on the cake, and on each slice.

This sheet might help.