Reduction: Fluency & Practice
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying reduction in drawings via scale factors. Suitable for Grade 8 students aiming to develop procedural mastery and problem-solving skills.
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Full preview • 11 questions
Reduction: Fluency & Practice
Subject: MathematicsGrade: Grade 8
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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 drawing of a rectangle has a length of 12 cm and a width of 8 cm. It is reduced by a scale factor of 1/3. Calculate the dimensions of the reduced rectangle.
[3 marks]2.
A scale drawing of a house has a length of 15 meters. If the drawing is a reduction with a scale factor of 1/5, what is the actual length of the house?
[2 marks]3.
Construct a triangle with sides measuring 9 cm, 12 cm, and 15 cm. Reduce the triangle by a scale factor of 2/3. Record the new side lengths.
[4 marks]4.
A photograph of a sculpture is scaled down by a factor of 1/4 for a brochure. If the original sculpture is 2.4 meters tall, what is the height in the brochure?
[2 marks]5.
A map shows a distance of 24 km between two towns. The map’s scale factor for reduction is 1/50. What is the actual distance between the towns?
[2 marks]6.
A drawing of a garden has a length of 30 meters. It is scaled down for a plan with a scale factor of 1/10. What is the length of the garden on the plan?
[2 marks]7.
A model airplane has a wingspan of 60 cm. If the model is a reduction with a scale factor of 1/20, what is the wingspan of the real airplane?
[2 marks]8.
A scaled blueprint shows a hallway length of 7 meters. The scale factor used is 1/50. Calculate the actual length of the hallway.
[2 marks]9.
A poster's height is 120 cm, scaled down by a factor of 1/4 for a brochure. What is the height of the scaled poster?
[2 marks]10.
A painting is reduced by a scale factor of 3/4 for a display. If the original painting measures 80 cm in height, what is the height of the reduced version?
[2 marks]11.
Identify and correct the mistake: A student reduces a drawing using a scale factor of 2/3 but ends up with dimensions larger than the original. Explain what went wrong.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet