Exploring and noticing

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

These clocks have only one hand, but can you work out what time they are showing from the information?

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?