Simple Scaling: Error Analysis & Misconceptions
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding simple scaling, highlighting common errors and misconceptions through varied questions suitable for Grade 8 students.
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Simple Scaling: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Introduction
Read the key concepts before attempting the questions.
1.
Simple scaling involves multiplying or dividing quantities by a fixed number to find equivalent quantities. The formula is:
New Quantity = Original Quantity × Scale Factor or ÷ Scale Factor.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working clearly.
1.
A recipe for 4 servings requires 200 grams of flour. How much flour is needed for 10 servings using simple scaling?
[2 marks]2.
A map scale shows 1 cm representing 5 km. How many kilometers does 7 cm on the map represent?
[2 marks]3.
A car travels 150 km in 3 hours. How far will it travel in 7 hours at the same speed?
[2 marks]C
Problem Solving & Reasoning
Attempt the following multi-step problems. Provide detailed explanations.
1.
A printer uses 2 liters of ink to print 250 pages. How much ink is needed to print 600 pages? Explain your reasoning.
[3 marks]2.
A car's fuel efficiency is 15 km per liter. If the fuel efficiency decreases by 20% due to heavy traffic, what is the new efficiency? Show your working.
[3 marks]D
Real-world Applications
Solve these context-based problems involving scaling.
1.
A photograph is scaled down so that its width is 3 cm on paper, representing 12 meters in real life. If another photo is scaled so that its width on paper is 5 cm, what is the real-life width it represents?
[2 marks]E
Challenge & Extension
Tackle these more difficult problems to extend your understanding.
1.
A scale model of a building has a height of 15 cm. If the real building is 60 meters tall, what is the scale factor between the model and the real building? Show your calculations.
[3 marks]2.
A cyclist's speed is scaled from a 1:100 model to the actual race. If the model bike travels 20 meters in 8 seconds, how far does the actual cyclist travel in 8 seconds? Assume the speed scales proportionally.
[3 marks]F
Mixed Review & Error Analysis
Identify and correct the common mistakes in the following questions.
1.
A student calculated that doubling a quantity always doubles the answer, which is correct in simple scaling. However, in a certain problem, the student divided instead of multiplying. Explain the mistake and correct it.
[3 marks]2.
If a scale factor of 3 is used to enlarge a drawing, what mistake might a student make if they forget to multiply the original measurements?
[2 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet