Year 8 Working systematically

We started drawing some quadrilaterals - can you complete them?

Can you find triangles on a 9-point circle? Can you work out their angles?

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

What's the largest volume of box you can make from a square of paper?

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.