AQA · Mathematics · 8300
GCSE Maths: Population Density
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions and answers for Population Density (Corbettmaths Video 384), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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How is population density calculated?
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Population ÷ area (e.g. people per km²).
800 people live in a village of area 10 km². What is its population density?
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80 people per km² (800 ÷ 10).
How do you find area from population and population density?
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Area = population ÷ population density.
3200 birds on an island have a density of 200 per km². What is the island's area?
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16 km² (3200 ÷ 200).
How do you find population from population density and area?
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Population = population density × area.
A housing estate has density 900 people per km² and area 3 km². What is its population?
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2700 people (900 × 3).
Population 496784, area 43.17 square miles. What is the population density to 1 d.p.?
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11507.6 people per square mile (496784 ÷ 43.17).
Australia: 26,000,000 people, 7,620,000 km². New Zealand: 5,200,000 people, 268,000 km². Which has the higher population density?
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New Zealand (≈19.4 per km²) is denser than Australia (≈3.4 per km²) — a larger population does not mean a higher density.
An island's population was 8000 at 1.6 people per km²; density fell to 1.57 per km². How many fewer people now?
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150 fewer. Area = 8000 ÷ 1.6 = 5000 km²; new population = 5000 × 1.57 = 7850.
What assumption is made when using last year's area to find this year's population from a new density?
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That the area of the island has not changed.
How do you find the overall population density of a county made of two regions?
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Total population of both regions ÷ total area of both regions — never average the two densities.
Population 2.4 × 10⁶, area 2.5 × 10⁴ km². What is the population density?
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96 people per km² (2.4 ÷ 2.5 = 0.96, and 10⁶ ÷ 10⁴ = 10²).
County A area 2000 km², County B area 2500 km², populations in ratio 2 : 1. What is the ratio of their population densities?
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5 : 2. Density A = 2x ÷ 2000 = x/1000; density B = x ÷ 2500; x/1000 : x/2500 = 2500 : 1000 = 5 : 2.
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