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.

problem

Favourite

### Shear Magic

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

problem

Favourite

### Countdown fractions

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

problem

Favourite

### 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?

problem

Favourite

### 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?

problem

Favourite

### The Farmers' Field Boundary

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

list

### Thinking Mathematically - Secondary students

A collection of resources aimed to help secondary students to think like mathematicians

list

### Which Way?

The tasks in this feature encourage you to make a deliberate choice about the way you solve a calculation.