JAMB 2018 Economics · Question 44
Calculate the population density of Nigeria, having a total population of 180 million with a total land area of 923,768 sq km?
Options
- A.195 million people per sq km
- B.5132 people per sq km
- C.195 people per sq km
- D.1.7 million people per sq km
Answer: C. 195 people per sq km
Explanation written with AI and checked against the answer key
Analyze the question: Population density measures how many people live in each unit of land area. You are given the total population and the total land area.
Concept:
Population density = Total population ÷ Total land area
Solution:
- Total population = 180,000,000
- Land area = 923,768 sq km
Population density = 180,000,000 ÷ 923,768
Estimate it: 923,768 is roughly 0.92 million, so 180 ÷ 0.923768 ≈ 194.85
Check: 923,768 × 195 = 180,134,760, which is very close to 180,000,000. So the answer is about 195 people per sq km.
Checking the other options:
- A: 195 million per sq km is impossible, since the units are wrong.
- B: 5132 is what you get if you wrongly invert or mis-scale the division.
- D: 1.7 million is far too large.
Answer: Option C, 195 people per sq km.
Tip: In density questions, round the numbers first (180 million ÷ about 0.92 million) to get a quick estimate. Always check that the units are "people per sq km", which eliminates options like A and D right away.
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