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
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
The height (h km) that a weather balloon can reach is related to the volume (v m₃) of helium in it at sea level
A Level
You are given the equation [fleft( x right) = 5costheta – 8sintheta] a) Express f(x) in the form (Rcos{(theta + alpha})) where (R >
A Level
A hurricane is heading from the Atlantic Ocean to Miami, Florida. If the centre of the hurricane goes within a 50 kilometre radius of
A Level
2 weather-monitoring satellites orbit the earth. One is in a circular orbit C₁, the other orbits in an extreme ellipse, C₂ so that it can
GCSE
As the atmosphere warms, the air holds more water vapour, and this could lead to more intense rainfall events, resulting in an increased flood
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