Reduction Challenge & Extension Worksheet
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on the concept of reduction in drawings via scale factors. Designed to develop procedural mastery, reasoning, and real-world application skills.
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Reduction Challenge & Extension Worksheet
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.
Calculate the reduction scale factor if a drawing of a square with side length 24 cm is reduced to a new drawing with side length 8 cm.
[3 marks]2.
A model sculpture is 45 cm tall. The actual sculpture is 135 cm tall. What is the scale factor of reduction used in the model?
[2 marks]3.
Construct a rectangle on the grid with a length of 6 cm and a width of 3 cm. If this rectangle is reduced by a scale factor of 1/4, what will be the new length and width?
[3 marks]4.
In a scaled drawing, a car measures 9 cm in length. If the scale factor is 1/6, what is the actual length of the car?
[2 marks]5.
A blueprint shows a room that measures 12 meters in length. The scale of the drawing is 1:50. What is the length of the room on the drawing?
[3 marks]6.
A small model airplane has a wingspan of 20 cm. The actual wingspan is 10 meters. What is the scale factor used in the model?
[3 marks]7.
A photograph of a building shows it to be 6 inches tall in the image. The actual building is 36 meters tall. What is the reduction scale factor from real size to the photograph?
[3 marks]8.
The original drawing of a garden is 40 meters wide. It is scaled down to 8 meters in the plan. What is the scale factor of reduction?
[2 marks]9.
A scale drawing of a house shows its length as 15 meters. If the drawing is scaled down by a factor of 1/10, what is the length of the house in the drawing?
[2 marks]10.
A student reduces a triangle's side length from 30 cm to 6 cm. What is the scale factor of reduction?
[2 marks]11.
Error Analysis: A student claims that reducing a drawing from 12 cm to 4 cm involves a reduction scale factor of 1/3. Is this correct? If not, what is the mistake?
[4 marks]12.
Challenge: A model of a bridge has a length of 80 cm. The actual bridge length is 400 meters. Find the scale factor of reduction and construct a scaled version of a 40-meter segment of the model on the grid.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet