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# Flexible Approaches to Problem Solving

### Shear Magic

### Countdown

### Countdown Fractions

### Triangle in a Trapezium

### The Square Under the Hypotenuse

### The Farmers' Field Boundary

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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?