### Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

### Consecutive Numbers

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

### 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.

# Cherries Come in Twos

##### Stage: 2 Challenge Level:

Abigail from Histon and Impington Infants School sent a very clear solution to this problem:

I used some counters to represent the cherries. I did what Suzie did and worked out that if you started with $4$ cherries, you would end up with $1$ left after doing pair, pair, single. If you started with $8$ cherries, you would end up with $2$. If you started with $12$, you would end up with $3$, and if you started with $16$, you would end up with $4$.
I spotted that the end numbers went up by one each time, and the start numbers went up by four. Then I did a table:

 Start End 4 1 8 2 12 3 16 4 20 5 24 6 28 7 32 8 36 9 40 10 44 11 48 12 52 13 56 14

So there were $56$ cherries in the bowl at the start.

Well reasoned, Abigail.