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Well done to everybody who had a go at these challenges.
Ronik from Clarendon Primary School in the UK found this solution for Challenge 2:
5+2+1=8
5+3+1=9
4+4+2=10
Well done, Ronik! Amogh from Ashton House School in the UK sent in this solution for Challenge 2:
For Challenge 2, I have come up with one solution
1+2+5=8
4+3+2=9
4+5+1=10
No number has been used more than two times, so I think it is correct.
That is correct, Amogh! Some children from Hauxton Primary School in the UK found the same solution for Challenge 2, and they added:
We think there are more possible answers!
I agree!
We received lots of solutions from the children at Broke Hall CP School in Suffolk, England. Rajavel and Maxwell found this solution for Challenge 2:
4+1+3=8
5+2+2=9
5+1+4=10
Mario, Robbie, Evie and Owen found this solution for Challenge 2:
4+2+2=8
5+3+1=9
5+4+1=10
Thank you all for sending these ideas in. I think there is still one possible solution to Challenge 2 that nobody has found yet - please email us if you think you know what it is.
There are a lot of possible solutions for Challenge 3. Ronik sent in this one:
5+4+1+1
4+4+3+1
5+3+3+2
Rajavel and Maxwell sent in this solution for Challenge 3:
1+2+3+5
1+3+3+5
2+2+4+5
Mario and Robbie sent in this solution:
1+2+3+5
1+2+4+5
1+3+4+5
Evie and Owen found both of these solutions, and they also found these different solutions:
1+2+3+5
2+2+3+5
1+3+4+5
1+1+4+5
2+2+3+5
1+3+4+5
1+1+4+5
1+2+4+5
2+2+4+5
Well done to all of you for your hard work on this! Take a look at Broke Hall's full solutions to see their explanations of how they worked systematically by starting with the smallest numbers.
These two group activities use mathematical reasoning - one is numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.