Challenge Level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Challenge Level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Challenge Level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Challenge Level

Can you describe this route to infinity? Where will the arrows take you next?

Challenge Level

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Challenge Level

Collect as many diamonds as you can by drawing three straight lines.

Challenge Level

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Challenge Level

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Challenge Level

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Challenge Level

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Challenge Level

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?

Challenge Level

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Challenge Level

How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?

Challenge Level

Can you find the area between this graph and the x-axis, between x=3 and x=7?

Challenge Level

Find the point on the line segment AB that is twice as far from B as it is from A.

Challenge Level

Find the area of the triangle enclosed by these lines.