Estimating Populations: Problem Solving & Reasoning

Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on estimating populations by rounding to the nearest 1000, with a mix of procedural, reasoning, and real-world questions suitable for GCSE Foundation students.

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Full preview • 12 questions

Estimating Populations: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Round the population of a town of 8,643 to the nearest 1000.
[2 marks]
2.
Estimate the total population of five villages with populations: 2,457; 3,890; 1,234; 4,567; 2,895. Round each to the nearest 1000 and find the total estimate.
[4 marks]
3.
A country has a population of approximately 45,678, which is rounded to the nearest 1000 for census purposes. What is the minimum and maximum possible population according to this rounding?
[3 marks]
4.
Fluency & Practice: Round 12,349 to the nearest 1000.
[1 mark]
5.
Estimate the population of a city if the actual figure is 76,543, by rounding to the nearest 1000.
[2 marks]
6.
Real-world Application: A survey estimates that 3,250 people live in a district. The actual population is between 3,200 and 3,299. What is the rounded estimate to the nearest 1000?
[3 marks]
7.
Construct a rough sketch on the grid to illustrate rounding the number 9,876 to the nearest 1000.
[2 marks]
8.
Estimate the populations of two towns: Town A has 15,432; Town B has 18,789. Round both to the nearest 1000 and find the total estimate.
[3 marks]
9.
A report states that a city has a population of about 123,456. If rounded to the nearest 1000, what is the estimated population? Then, identify a common mistake students might make with this rounding.
[4 marks]
10.
Challenge & Extension: The population of a country is approximately 198,765, rounding it to the nearest 1000 gives 199,000. What is the range of possible actual populations?
[3 marks]
11.
Mixed Review: The populations of three towns are 4,562; 7,418; 9,061. Round each to the nearest 1000 and then find the combined total estimate.
[4 marks]
12.
Error Analysis: A student rounds 56,789 to 57,000 instead of 57,000. Identify the mistake and explain the correct process.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet