Grade 9 Population Calculation Worksheet
Use percentages, rates, and a population balance equation. Includes a worked example, printable practice, and an answer key with explanations.
The answer key follows the practice below. In the editor, remove the final answer-key section before sharing a student copy.
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Grade 9 Population Calculation
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Learning goal and worked example
Use percentages, rates, and a population balance equation.
Starting with 1,000 people, 25 births, 10 deaths, 8 arrivals, and 3 departures gives 1,000+25−10+8−3 = 1,020. This is a 2% increase.
Applied arithmetic: distinguish a rate per 1,000 from a percentage and separate natural change from migration.
Read each question carefully and provide your answer in the space provided. Show all your work for calculation problems.
1. The total number of individuals of a species living in a particular geographic area is called its .
2. The is the number of births per 1,000 individuals in a population per year.
3. If births equal deaths and there is no migration, the population has growth.
4. A city had a population of 500,000 in 2010. By 2020, the population grew to 650,000. Calculate the percentage increase in population over this decade.
5. A country has a birth rate of 18 per 1,000 and a death rate of 8 per 1,000. What is the natural growth rate of this population?
6. Holding other factors constant, which change reduces the end-of-year population compared with what it otherwise would have been?
Increased birth rate
Increased immigration
Increased death rate
Decreased emigration
7. If a country has a population of 10 million and an area of 100,000 square kilometers, what is its population density?
10 people/km²
100 people/km²
1,000 people/km²
10,000 people/km²
8. Population growth is solely determined by the birth rate.
True
False
9. A high population density always leads to overcrowding and resource scarcity.
True
False
10. In a town with an initial population of 25,000, there were 500 births and 200 deaths in a year. Additionally, 150 people immigrated to the town, and 100 people emigrated. Calculate the town's population at the end of the year.
Answer key and worked solutions
1. Population. 2. Birth rate (crude birth rate). 3. Zero (or no net) growth.
4. Increase = 150,000; percentage increase = 150,000/500,000 × 100 = 30%.
5. Natural growth = 18−8 = 10 per 1,000 per year = 1% per year. Migration is excluded from natural growth.
6. c (increased death rate), holding the other factors constant. 7. b: 10,000,000/100,000 = 100 people/km².
8. False: deaths and migration also affect growth. 9. False: infrastructure, resource use, and distribution matter; density alone does not guarantee scarcity.
10. 25,000+500−200+150−100 = 25,350 people. Net increase = 350 people.
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