If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Engage in a little mathematical detective work to see if you can spot the fakes.
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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?
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
