Here is a solution to STAIRS, which we very happily received from Hannah of West Flegg Middle School, Norfolk. She writes:
Biggest and smallest:-
This is my biggest
This is my smallest
14 on the first sheet - No 19.
15 on the sheet - Nos. 14, 2, 3, 6.
16 on the sheet - No. 9.
17 on the sheet - Nos. 8, 13, 18.
18 on the sheet - Nos. 4, 11.
19 on the sheet - Nos. 1, 12, 13, 16.
22 on the sheet - No. 10.
23 on the sheet - No. 17.
And so on... you can just add one to the last square, up the top if you like. I added them up at the top of the last three.
She went on to extend the challenge! WELL DONE
I wonder what would happen if it were 5 along and four up?
The amount would be smaller all the time but the method would be the same.
She also looked at 5 by 6 and 6 by 5. She finishes by saying:
I wonder what would happen if you could have two sets of steps?
Bernard says "Well done, a good approach. I liked the way you had a go, then sorted them into an order, put in the missing ones, and saw how it was just going to go on. Then you asked a further question, and explored it a little. And you finished with a brand new question. Keep up this good work all of you!''