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Fiona from Tattingstone School tackled this very clearly:
She found another way of starting and ending on these numbers:
Fiona then explains:
Omar from the Modern English School, Cairo drew out a few different routes which also start at $2$ and end at $18$:
I like the way you've shown the 'optional extras' with double-headed arrows, Omar Abdel also from the Modern English School found another route:
$2+1+1+5-5+1+5+5-1+5-1$
Elliot, Richard and Christopher from Moorfield Junior School agreed with Fiona but also found another equally short route: $+1,+5,+5,+5$.
Molly and Callum from Bradon Forest School sent us a detailed response:
The last number in the sequence is $18$, and another Sequence is $2(+5)7(+5)12(+5)17(+1)18$.Luke from Witton Middle School noticed something important:
Well done, Luke, you're right that the order of the operations is not important - you would still get to $18$.
Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?