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.
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Shear Magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
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Countdown fractions
Here is a chance to play a fractions version of the classic Countdown Game.
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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?
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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?
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The Farmers' Field Boundary
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
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Thinking Mathematically - Secondary students
A collection of resources aimed to help secondary students to think like mathematicians
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Which Way?
The tasks in this feature encourage you to make a deliberate choice about the way you solve a calculation.