Being able to think flexibly is a key ingredient of what it means to be a good mathematician. The problems in this feature challenge you to explore different ways of arriving at a solution.
Triangle in a trapezium
Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
The farmers' field boundary
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
The square under the hypotenuse
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
Shear magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
Countdown fractions
Here is a chance to play a fractions version of the classic Countdown Game.
Countdown
Here is a chance to play a version of the classic Countdown Game.