Reduction: Challenge & Extension
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on reduction in enlargement with a variety of questions including procedural practice, problem solving, real-world scenarios, and challenging extension problems designed for Grade 8 students.
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Reduction: Challenge & Extension
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.
Calculate the fractional scale factor needed to reduce a figure from 12 cm to 4 cm in size.
[2 marks]2.
A triangle has sides of 9 cm, 12 cm, and 15 cm. It is reduced to a new triangle with a side of 3 cm corresponding to the original 9 cm side. What is the scale factor of the reduction?
[2 marks]3.
Construct a rectangle with a length of 10 cm and a width of 6 cm. Then, draw a reduced version with a scale factor of 1/2. What are the dimensions of the reduced rectangle?
[3 marks]4.
Reduce a square with side length 14 cm by a scale factor of 1/7. What is the length of each side in the reduced square?
[2 marks]5.
A photograph measures 20 cm by 15 cm. It is reduced to a size where the longer side is 10 cm. What is the scale factor used for this reduction?
[2 marks]6.
A model building is scaled down from an original height of 18 meters to 6 meters. What is the fractional scale factor of the reduction?
[2 marks]7.
Explain why multiplying the original length by the scale factor results in the reduced length. Include an example with numbers in your explanation.
[3 marks]8.
A poster measures 60 cm in height. It is reduced by a scale factor of 3/4. What is the height of the reduced poster?
[2 marks]9.
A scale drawing of a garden has a length of 8 meters. The actual garden's length is 24 meters. What is the scale factor of the drawing?
[2 marks]10.
Identify and correct the mistake in the following reduction calculation: 'Original side length = 20 cm, reduced side length = 10 cm, scale factor = 2.'
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet