Try out these calculations. Are you surprised by the results?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

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: x2 and -5. What do you think?

There are lots of ideas to explore in these sequences of ordered fractions.

Can you work out what step size to take to ensure you visit all the dots on the circle?

Can you make a right-angled triangle on this peg-board by joining up three points round the edge?