Algebraic Area Reasoning Tasks

Several tasks all based on a WJEC GCSE question about forming and solving a quadratic equation for the area of two rectangles. These tasks are designed to improve students’ mathematical reasoning and were created as part of the Mathematical Reasoning at GCSE project run by Cambridge Maths Hub.

The tasks vary in difficulty, and include forming expressions for various areas and perimeters, expressing proportional relationships, numerical and algebraic ratio tables and identifying reasonable assumptions. They are not intended to be used all together; just pick and choose one or two suitable ones for your class.

Thanks to JustMaths for the collection of exam questions by topic where I found the original question.

A similar set of tasks on a different application of quadratic expressions can be found here: and there is a more numerical approach to compound area in these tasks:

All feedback very welcome. I’d be really interested to hear which tasks you chose and how you used them!


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  • Algebraic-Areas-Reasoning-Tasks.pptx

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Created: Feb 16, 2018

Updated: Feb 17, 2018


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