Density and Volume Reasoning Tasks

Several tasks all based on an Edexcel GCSE question about density. 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 work on proportional reasoning, value for money, unit conversions, volume, surface area and density. They are not intended to be used all together; just pick and choose one or two suitable ones for your class.

Full credit to the awesome Mr Barton for the Venn diagram template.

If you are after similar tasks on other compound measures, you might like which is based on calculating surface gravity (with some density questions) and which explores speed and fuel economy.

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


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  • Density-and-Volume-Reasoning-Tasks.pptx

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Created: Feb 15, 2018

Updated: Feb 17, 2018


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