Challenge Level

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

Vinny from Our Lady of the Assumption in Blackpool.

First we did 10 to the power of 4 because there are 10 trunks, 10 branches, 10 twigs and 10 leaves. The answer we found from that was 10,000.

There are 1000 leaves on one trunk, 100 leaves on a branch, 10 leaves on a twig and 1 leaf left. This all totalled 1111. We then took this from 10,000 which left us with the answer, 8889 leaves left over!

Well done, thank you for this solution.