Reduction: Exploring Scale Factors in Space & Astronomy
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of reduction through space and astronomy contexts, focusing on scale factors in drawings and models. Students will practice procedural calculations, problem solving, and apply their understanding to real-world space scenarios.
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Full preview • 11 questions
Reduction: Exploring Scale Factors in Space & Astronomy
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 space telescope model is scaled down by a factor of 1:20. If the actual telescope is 40 meters long, what is the length of the model?
[2 marks]2.
Calculate the scale factor if a satellite's real diameter is 2.4 meters and the model's diameter is 0.12 meters.
[3 marks]3.
A planetary model has a diameter of 15 cm, representing a planet with a real diameter of 1,500 km. What is the scale factor of the model to the real planet?
[2 marks]4.
Construct a triangle on the grid with sides of 3 cm, 4 cm, and 5 cm, then reduce the triangle by a scale factor of 1:2. What are the new side lengths?
[4 marks]5.
A spacecraft's model is reduced by a factor of 1:50 from its actual size. If the model's length is 3 meters, what is the actual length?
[2 marks]6.
A space agency creates a scale drawing of a rocket that is 5 meters long in reality. The drawing is made at a scale of 1:200. What is the length of the drawing?
[2 marks]7.
A model of a comet has a diameter of 8 cm, representing a real comet with a diameter of 2,400 km. What is the scale factor?
[3 marks]8.
Explain the process to find the actual size of an astronomical object when given a scaled model and the scale factor. Include a sample calculation.
[4 marks]9.
An astronomer sketches a planet at a scale of 1:500,000. The sketch shows a diameter of 4 cm. What is the actual diameter of the planet?
[2 marks]10.
Identify and correct the mistake in this reduction calculation: A model is 5 meters long, representing a real satellite 100 km long, using a scale of 1:20. The student states the model's length should be 25 km.
[4 marks]11.
A space exploration poster shows a scaled drawing of Mars with a diameter of 3 meters, representing the actual diameter of 6,792 km. Calculate the scale factor used.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet