Calculating Distances: Fluency & Practice

Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating distances using map scales for Grade 8 students. It covers procedural mastery, real-world context, reasoning, and extension questions.

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Full preview • 13 questions

Calculating Distances: Fluency & Practice

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A map has a scale of 1 cm : 5 km. If the distance between two cities on the map is 3.2 cm, what is the actual distance between the cities?
[2 marks]
2.
A hiking trail on a map measures 7.5 cm. The scale of the map is 1 cm : 2 km. Calculate the real length of the trail in kilometers.
[2 marks]
3.
On a map with a scale of 1:25000, a river segment measures 4.8 cm. Find the actual length of the river in meters.
[2 marks]
4.
A city park is 6.4 cm long on a map with a scale of 1 cm : 1 km. What is the actual length of the park in kilometers?
[2 marks]
5.
A map shows a distance of 2.5 cm between two points. If the scale is 1 cm : 3 km, what is the real distance in kilometers?
[2 marks]
6.
A route is 10 cm long on a map with a scale of 1 cm : 4 km. What is the actual length of the route?
[2 marks]
7.
A map scale is 1:100000. If two towns are 6.3 cm apart on the map, what is the actual distance in kilometers?
[2 marks]
8.
A satellite map shows a bridge length of 5 cm. The scale is 1 cm : 10 km. Calculate the real length of the bridge in kilometers.
[2 marks]
9.
A city’s new highway runs 8 km on a map with a scale of 1:200,000. What is the length of the highway in centimeters on the map?
[2 marks]
10.
A hiking map indicates a trail distance of 4.2 km. On the map, the trail measures 8.4 cm. What is the scale factor of the map?
[3 marks]
11.
A city planner needs to find the actual length of a new road segment. The segment measures 5.6 cm on a map, and the scale is 1 cm : 2.5 km. Calculate the real length in kilometers.
[2 marks]
12.
A map shows a lake that measures 3.1 cm. The scale of the map is 1:50000. Find the actual area of the lake in square meters if the lake is roughly circular with this diameter.
[4 marks]
13.
Identify and correct the mistake: A student calculated the real distance as 25 km from a map measurement of 5 cm with a scale of 1 cm : 2 km. Their work showed: 5 cm x 2 km = 10 km, but the answer was given as 25 km.
[4 marks]

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Details

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