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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. 

Countdown
game
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Countdown

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

Age
11 to 14
Challenge level
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Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
Countdown fractions
problem
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Countdown fractions

Age
11 to 16
Challenge level
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Here is a chance to play a fractions version of the classic Countdown Game.
Triangle in a Trapezium
problem
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Triangle in a Trapezium

Age
11 to 16
Challenge level
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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
problem
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The square under the hypotenuse

Age
14 to 16
Challenge level
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Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
The Farmers' Field Boundary
problem
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The Farmers' Field Boundary

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

Age
5 to 11
The tasks in this feature encourage you to make a deliberate choice about the way you solve a calculation.