Maps: Mixed Review
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing key concepts related to maps, including ratios, scales, and proportional reasoning for Year 9 students.
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Full preview • 14 questions
Maps: Mixed Review
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the key concept below before attempting the questions. Remember, the scale of a map relates to real-world distances through ratios.
1.
The scale of a map is 1:50,000. If the distance between two cities on the map is 4 cm, what is the actual distance between these cities in kilometers?
[3 marks]2.
Calculate the scale ratio if 1 cm on a map represents 2 km in real distance.
[3 marks]3.
A map shows a park that is 7 cm long. The scale ratio is 1:25,000. What is the actual length of the park in meters?
[3 marks]4.
If a map's scale is 1:100,000, how many centimeters on the map represent 10 km in real distance?
[3 marks]B
Fluency & Practice
Answer the following questions to practice your procedural skills with maps and ratios.
1.
A map has a scale of 1:75,000. If the distance between two towns on the map is 5.2 cm, what is the actual distance in kilometers?
[3 marks]2.
Convert the scale ratio 1:500,000 into the real-world distance that 1 cm on the map represents in kilometers.
[3 marks]3.
On a map with a scale of 1:40,000, what is the real distance of a trail that measures 8.5 cm on the map?
[3 marks]C
Problem Solving & Reasoning
Work through these multi-step problems involving map ratios and real-world applications.
1.
A city map uses a scale of 1:60,000. The map shows a river that is 9.5 cm long. If another river in the same city is 12 km long in reality, what is its length on the map in centimeters?
[4 marks]2.
A hiking trail is 15 km long in real life. The map scale is 1:75,000. What length does the trail appear on the map in centimeters? Show your working.
[4 marks]D
Real-world Applications
Apply your understanding to real-world map scenarios.
1.
A tourist map of a city has a scale of 1:20,000. If a tourist walks 3 km along a certain route, how many centimeters does this route cover on the map?
[3 marks]2.
A map shows a mountain range that is 6.5 cm long. The actual length of the range is 65 km. What is the scale ratio of the map?
[3 marks]E
Challenge & Extension
Tackle these more advanced and challenging map ratio problems.
1.
Construct a scale diagram of a park that is 2.4 km long, using a scale of 1 cm : 600 m. How long should the diagram be in centimeters?
[4 marks]2.
A map scale is 1:150,000. A canal shown on the map is 8.4 cm long. What is the actual length of the canal in kilometers?
[4 marks]F
Error Analysis
Identify and correct common mistakes in map ratio calculations.
1.
A student calculates the real distance as 4 km when given a map distance of 2 cm and a scale of 1:50,000. They made a mistake. Identify the error and provide the correct real distance.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet