Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

Can you work out which drink has the stronger flavour?

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Is there an efficient way to work out how many factors a large number has?