Being able to solve problems flexibly is a key ingredient of what it means to be a good mathematician. The problems in this feature are designed to offer alternative ways of thinking about situations so that students can explore different ways of arriving at a solution.
Countdown fractions
Countdown
Here is a chance to play a version of the classic Countdown Game.
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?
The farmers' field boundary
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
Shear magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
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?
