Reduction: Problem Solving & Reasoning
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on reduction techniques involving scale factors, designed to develop problem solving and reasoning skills for Grade 8 students.
Worksheet Preview
Full preview • 12 questions
Reduction: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A rectangle measuring 10 cm by 15 cm is reduced in size with a scale factor of 0.4. Calculate the dimensions of the reduced rectangle.
[2 marks]2.
A scale drawing of a garden has a length of 12 cm and a width of 9 cm. If the scale factor used is 1:50, what are the actual dimensions of the garden in meters?
[3 marks]3.
Construct a triangle on the grid with sides of 6 cm, 8 cm, and 10 cm, then draw its reduction with a scale factor of 0.5.
[4 marks]4.
In a scaled drawing, a car that is 4.5 meters long is reduced to 9 cm. Find the scale factor used for this reduction.
[2 marks]5.
A photograph of a building measures 8 cm in the drawing. If the actual height of the building is 64 meters, what is the scale factor of the drawing?
[3 marks]6.
A model airplane's wingspan is 12 cm in the model, and the real wingspan is 6 meters. What is the reduction scale factor from the real plane to the model?
[2 marks]7.
A reduction of 0.25 is applied to a drawing of a house. If the house's actual width is 24 meters, what is the width in the drawing?
[2 marks]8.
A scale drawing shows a park as 14 cm long. If the scale factor is 1:200, what is the actual length of the park in meters?
[3 marks]9.
A blueprint of a house has a width of 11 cm. The actual width of the house is 22 meters. Find the scale factor used in the blueprint.
[3 marks]10.
A tower that measures 150 meters in real life is represented as 3 cm on a scaled drawing. Find the scale factor used for this reduction.
[3 marks]11.
A poster of a monument shows a height of 6 cm. The actual height of the monument is 72 meters. Calculate the scale factor of the poster.
[3 marks]12.
Error Analysis: A student reduces a drawing of a boat from 15 cm to 3 cm, claiming the scale factor is 1:5. Identify and correct the mistake in their calculation.
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet