# Flexible Approaches to Problem Solving

### Flexible approaches to problem solving

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.

##### Age 11 to 14

Challenge Level

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

##### Age 7 to 14

Challenge Level

Here is a chance to play a version of the classic Countdown Game.

##### Age 11 to 16

Challenge Level

Here is a chance to play a fractions version of the classic Countdown Game.

##### Age 11 to 16

Challenge Level

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

##### Age 14 to 16

Challenge Level

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

##### Age 11 to 14

Challenge Level

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?