Can You Think Flexibly?

Can you think flexibly?

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. 

Shear Magic 

Age 11 to 14 Challenge Level:
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Countdown 

Age 7 to 14 Challenge Level:
Here is a chance to play a version of the classic Countdown Game.

Countdown Fractions 

Age 11 to 16 Challenge Level:
Here is a chance to play a fractions version of the classic Countdown Game.

Triangle in a Trapezium 

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?

The Square Under the Hypotenuse 

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?

The Farmers' Field Boundary 

Age 11 to 14 Challenge Level:
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?