EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Find a great variety of ways of asking questions which make 8.
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
This problem was very well answered. We had many very well explained solutions but Kirsty's solution was particularly clear:
There are 10 leaves per twig There are 10 twigs per branch 10 leaves x 10 twigs = 100 leaves per branch There are 10 branches per trunk 100 leaves x 10 branches = 1000 leaves per trunk There are 10 trunks per tree 1000 leaves x 10 trunks = 10 000 leaves on the tree
Cut off one trunk: 10 000 - 1000 = 9000 leaves left Cut off one branch: 9000 - 100 = 8900 leaves left Cut off one twig: 8900 - 10 = 8890 leaves left Pull off one leaf: 8890 - 1 = 8889 leaves left
There are 8889 leaves left on the tree.
This is excellently explained, Kirsty - you have approached the problem very systematically. Rachel who goes to Aldermaston CE Primary School also sent in a fantastic solution. She did it in the same way as Kirsty, but found the total number of leaves which had been pulled off before the total number of leaves on the tree to start with.
Here is everyone else who sent extremely clear solutions which were similar to either Kirsty's or Rachel's. You all deserve a mention - thank you!
Alistair from Histon and Impington Junior School Benjamin, Becki, Pauline, Chris, Elliot, Luke, Ryo and Jake from Moorfield Junior School Bianca and Kathryn from Devonshire Primary School Goh Bee, Khoo Kian, Tan Yan, Tan Jun, Tao Mai and Ng Hui at Corporation Primary School in Singapore Hannah from South Parade Junior School Jennie at St. Nicolas CE Junior School, Newbury Jonathan at Dobcroft Junior School, Sheffield Joshua from Hillside Community Primary School, Ipswich Rachael from Ardingly College Stephen from Moorlands School Adam and Toby from Chacombe CE Primary School Chad who goes to the Canadian Academy Rushad, Oliver and Sabrina from Tanglin Trust School, Singapore Douglas from Burgoyne Middle School