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?
Can you find out what numbers divide these expressions? Can you prove that they are always divisors?
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
Find out about the lottery that is played in a far-away land. What is the chance of winning?
We usually use squares to measure area, but what if we use triangles instead?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
