Calculating Distances: Challenge & Extension
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge students on calculating distances using map scales, including procedural, reasoning, and real-world application questions.
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Full preview • 11 questions
Calculating Distances: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key formula for calculating actual distances from map measurements:
Actual Distance = Map Distance × Scale Factor.
Use this formula to solve the following questions, showing all your working.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A map has a scale of 1:50,000. If the distance between two towns on the map is 4.2 cm, what is the actual distance in km?
[3 marks]2.
Calculate the real-world distance if a road appears 7.5 cm long on a map with a scale of 1:25,000.
[3 marks]3.
On a certain map, 1 cm represents 2 km in reality. If the distance between two points on the map is 5.5 cm, what is the actual distance?
[2 marks]4.
A city is 120 km away from another on a map with a scale of 1:100,000. What is the distance between these cities on the map in cm?
[3 marks]5.
A map scale is 1:75,000. If the actual distance between two landmarks is 15 km, what length should the map show between them?
[3 marks]6.
A hiking trail on a map measures 8 cm. If the scale is 1:40,000, what is the actual length of the trail in km?
[3 marks]7.
A city block on a map measures 3.5 cm. The scale of the map is 1:10,000. What is the real-world length of the block in meters?
[3 marks]8.
A map shows a route of 6.25 cm between two locations. The scale of the map is 1:50,000. Determine the actual distance in km.
[3 marks]9.
A satellite image has a scale of 1:1,000,000. If a feature measures 2.4 cm on the image, what is its real size in km?
[3 marks]10.
A photograph taken from an airplane shows a river that appears 4.8 cm long on the photograph. If the scale of the photograph is 1:200,000, what is the actual length of the river in km?
[4 marks]11.
A map's scale is 1:75,000. Two points are 9.6 cm apart on the map. If the actual distance between them is 7.2 km, identify and correct the mistake in the calculation: Actual Distance = Map Distance × Scale Factor.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet