# 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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• Clear

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
##### Monitoring Currents
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
##### Mountainside Monitoring
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
##### Colliding Currents
2 deep sea ocean currents meet. By modelling one current as the positive y axis. a) Find the angle that the second current, with
A Level
##### A Regrowing Reef
a) Use the substitution (u = 4 – sqrt{s}) to show that [int_{}^{}frac{text{dh}}{4 – sqrt{s}} = – 8lnleft| 4 – sqrt{s} right| – 2sqrt{s}
A Level
##### Shrinking Species
Since 1800, the number of amphibian species, N, has been decreasing over time, t.  A simple model shows that the rate of decrease of
A Level
##### The Swelling Sahara
Human-induced global warming is causing deserts such as the Sahara to increase in surface area. In 1950 the area of the Sahara Desert was
A Level
##### A Ferocious Forest Fire
During a particularly hot summer, the area of a small forest was reduced by fire. The area, Akm2, of the surviving forest is modelled
A Level
##### Profiting from Reforestation
A small company is planting trees in areas of the Amazon rainforest that have been affected by forest fires. On any day, the cost
GCSE
##### Surviving Species
Climate change affects the habitats and environments of many species, some of which won’t be able to adapt fast enough to survive in their
GCSE
##### Reducing Biodiversity Loss
The graph from the IPBES Global Assessment Report on Biodiversity and Ecosystem Services shows 3 different scenarios for how we could reduce biodiversity loss
GCSE
##### Arctic Ice Melting
The increasing global temperature due to human-induced climate change is causing ice in the Arctic to melt, particularly over the summer season, July to
GCSE
##### Extinct Species Per Degree
Climate change can lead to species extinction through changing habitats rapidly, not leaving the species time to adapt. Warming at the moment is at
GCSE
##### A Cocoa Catastrophe
Chocolate is made from a crop called cocoa, which grows on a tree. Cocoa trees are vulnerable to extreme weather events such as floods
GCSE
##### Rainforest Reforestation
One way of reducing carbon dioxide in the atmosphere and slowing global warming is to plant trees which absorb carbon dioxide from the atmosphere.
GCSE
##### Losing Coral Reefs
Global warming will affect the world’s coral reefs. In a world heated by a global warming of 2°C, we will lose 99% of coral
GCSE
##### Calculating Sea Level Rise
The table shows information about sea level rise due to human-induced climate change. (mm = millimetres). Sea level rise in 2006 (mm) Sea level
GCSE
##### A Desert Area Increase
Climate change (or global warming) can cause the areas of deserts (very dry land) to increase, affecting the surrounding wildlife and ecosystems. Before global
GCSE
##### Graphing Global Sea Level Rise
The graph shows satellite measurements of global sea level rise since 2000 plotted relative to 1993. (sea level rise measured in mm = millimetres)