Reduction: Problem Solving & Reasoning
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of reduction in geometric enlargement, focusing on fractional scale factors. Students will solve various problems, analyze errors, and apply their understanding to real-world contexts.
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Full preview • 12 questions
Reduction: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the scale factor used to reduce a figure from 12 cm to 4.8 cm.
[2 marks]2.
A photograph is reduced by a scale factor of 3/5. If the original length was 15 cm, what is the length after reduction?
[2 marks]3.
Construct a triangle on the grid with sides measuring 6 cm, 8 cm, and 10 cm. Then, draw a similar triangle with each side reduced by a scale factor of 2/3.
[3 marks]4.
A rectangular garden measures 24 m by 18 m. It is reduced to a scaled-down model with a reduction scale factor of 4/5. What are the dimensions of the model?
[2 marks]5.
A scale drawing of a house shows a length of 10.5 cm. The actual house has a length of 15 meters. What is the scale factor? Is it a reduction or enlargement?
[3 marks]6.
A poster image is reduced from 60 cm to 36 cm in width. Find the scale factor and determine whether this is a reduction or enlargement.
[2 marks]7.
A model car is 12 cm long. The actual car is 4.8 meters long. What is the scale factor? Is this a reduction or enlargement?
[3 marks]8.
A blueprint shows a room with a length of 5 meters. The actual room measures 8 meters. What is the scale factor, and does it represent a reduction or an enlargement?
[3 marks]9.
A toy model's height is 9 cm, while the real height of the object is 27 cm. Find the scale factor and classify it as reduction or enlargement.
[2 marks]10.
Error Analysis: A student claims that reducing a figure from 50 cm to 30 cm uses a scale factor of 1/3. Identify and correct the mistake.
[4 marks]11.
A photograph of a monument is scaled down to a poster at a scale factor of 2/7. If the poster's height is 14 cm, what is the actual height of the monument?
[3 marks]12.
Challenge & Extension: Construct a rectangle with a length of 16 cm and width of 10 cm. Reduce the rectangle by a scale factor of 3/4. Then, draw and label the reduced rectangle on the grid.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet