Ben's Game
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?
Can you make sense of these three proofs of Pythagoras' Theorem?
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?