Maps: Problem Solving & Reasoning

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on ratios related to maps, including scale conversions, proportional reasoning, and real-world map problems for Grade 7 students.

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Maps: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 7
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Untitled Worksheet

Grade Grade 7
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 a park measures 3.2 cm on the map, what is the actual length of the park in kilometers?
[2 marks]
2.
Construct a map scale where 2 cm represents 10 km. What is the scale ratio?
[2 marks]
3.
A city has a population of 120,000. On a map, the population is represented as 4 cm. What is the population represented by 1 cm on the map?
[2 marks]
4.
A map shows a length of 7.5 cm for a river. If the scale of the map is 1 cm : 2 km, what is the actual length of the river in kilometers?
[2 marks]
5.
A travel guide shows that 1 inch on a map is equivalent to 50 miles in real life. If a trail measures 4.8 inches on the map, what is the actual length of the trail in miles?
[2 marks]
6.
A town's map uses a scale of 1 cm : 3 km. If the town's boundary measures 9 cm on the map, what is the actual perimeter of the town in kilometers?
[2 marks]
7.
A map shows that a hiking trail is 12 cm long. The scale of the map is 2 cm : 5 km. Calculate the actual length of the trail.
[3 marks]
8.
A map of a city shows a square park with sides measuring 4.5 cm. If the map's scale is 1 cm : 200 m, what is the area of the park in square meters?
[3 marks]
9.
A map's scale is 1 inch : 10 miles. If a road appears 6 inches long on the map, what is the actual length of the road in miles?
[2 marks]
10.
A map shows a mountain that is 8 cm tall. If 1 cm on the map corresponds to 2 km in real life, what is the height of the mountain in kilometers?
[2 marks]
11.
A student sees that a map's scale is 1 cm : 4 km. The student measures a lake on the map as 5.2 cm. What is the actual area of the lake, assuming it is roughly rectangular with a width of 2 km?
[4 marks]
12.
Identify the common mistake in interpreting map scales and explain how to correct it.
[3 marks]

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Details

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