Maps: Real-world Applications
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the application of ratios and proportions in maps, designed for GCSE Higher students. Includes procedural, problem-solving, and real-world map-based questions.
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Maps: Real-world Applications
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
1.
Maps use a scale factor to represent real distances. The scale is often written as 1:n, where 1 unit on the map equals n units in real life. To find real distances from maps, multiply the map measurement by the scale factor n.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A map has a scale of 1:25000. If two towns are 4 cm apart on the map, what is the real distance between them in kilometers?
[3 marks]2.
A map shows a park that is 6.8 cm long with a scale of 1:5000. What is the actual length of the park in meters?
[3 marks]3.
Construct a triangle on the grid where one side is 3 cm, and the other sides are in ratio 2:3, with the longer side measuring 4.5 cm. Use the grid to accurately draw this triangle.
[4 marks]4.
A map scale of 1:10000 shows a river that is 8 cm long on the map. What is the length of the river in kilometers?
[3 marks]5.
A hiking trail on a map is 5.2 cm long with a scale of 1:25000. Calculate the actual length of the trail in kilometers.
[3 marks]6.
A map with a scale of 1:75000 shows a city boundary that measures 2.4 cm on the map. What is the approximate real-world area if the boundary forms a square? (Use the scale to find the length of each side and then calculate the area in km².)
[4 marks]7.
A map scale of 1:20000 is used. If a route between two points is 7.5 cm on the map, what is the real distance in meters? Show your working.
[3 marks]8.
A map shows a hiking trail that is 9.6 cm long with a scale of 1:40000. The actual trail length is in miles. Convert your answer to miles (1 mile ≈ 1.609 km).
[3 marks]9.
A map scale of 1:5000 shows a lake measuring 3.2 cm on the map. The actual lake is roughly circular. Estimate the area of the lake in km².
[4 marks]10.
Identify and correct the mistake in this reasoning: A map with a scale of 1:10000 shows a distance of 5 cm between two points. The real distance is 5 km.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet