Maths for Planet Earth: Climate Based Questions for students and teachers

A team of students and academics at the Environmental Change Institute, School of Geography and the Environment, and Department of Physics, University of Oxford, developed the Maths for Planet Earth questions. They work on climate and energy issues and are passionate about inspiring young people to join the fight against climate change.

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The world needs brainy mathematicians to help tackle climate change.

The aim of these questions is to integrate climate change into the school curriculum beyond the usual suspects of geography and environmental science.

These questions closely follow example problems from GCSE and A level past exams and were developed using existing exam questions. The maths skills tested in the question remained unchanged, but the context of the question was adapted to a climate change theme.

A Level
A homeowner decides to make their house carbon-neutral. They place solar panels on the roof, which then connect o their mains circuit via a
A Level
The movement of a hurricane is modelled by vector h.  It is moving at a speed of 20 kph, with the direction of 165˚
A Level
In this question, all distances are measured in kilometres. 2 deep sea ocean current monitors, A and B, have position vectors (-1, 7, k)
A Level
3 CO₂ monitors K, L and M are placed on a mountain side The vector (overrightarrow{text{KL}} = 3mathbf{i -}6mathbf{k}) and (overrightarrow{text{LM}} = 2mathbf{i} +
A Level
2 deep sea ocean currents meet. By modelling one current as the positive y axis. a) Find the angle that the second current, with
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