Scaling: Error Analysis & Misconceptions
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying scaling, highlighting common errors and misconceptions. Designed for Grade 7 students to develop procedural mastery and problem-solving skills.
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Scaling: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Read the key concept below before attempting the questions.
1.
Scaling involves multiplying or dividing quantities by a scale factor to find corresponding sizes in a different context. The formula is: New Quantity = Original Quantity × Scale Factor.
[2 marks]B
Fluency & Practice
Answer the following questions to practice basic scaling calculations.
1.
If a map scale is 1:100, what is the real distance if the map distance is 5 cm?
[2 marks]2.
A photograph is scaled up from 10 cm to 30 cm. What is the scale factor?
[3 marks]3.
A model car is 15 cm long. If the real car is 4.5 meters long, what is the scale factor?
[3 marks]C
Problem Solving & Reasoning
Solve these multi-step problems and explain your reasoning.
1.
A scale drawing of a room shows the length as 8 cm. If the real room is 4 meters long, what is the scale factor of the drawing? Show your working.
[4 marks]2.
A miniature model's height is 12 cm, representing a real building that is 120 meters tall. What is the scale ratio? Explain how you found it.
[4 marks]D
Real-world Applications
Apply your understanding of scaling to these everyday contexts.
1.
A photograph of a celebrity is scaled such that the person's height in the photo is 4 cm, but the real height is 1.8 meters. What is the scale factor?
[3 marks]2.
A blueprint shows a door as 2.4 cm wide, representing the actual width of 80 cm. What is the scale? Write your answer as a ratio.
[3 marks]E
Challenge & Extension
Tackle these more advanced problems to deepen your understanding of scaling.
1.
A model airplane wing is scaled so that its length is 25 cm. The actual wing measures 15 meters. Find the scale ratio and express it as a simplified fraction.
[4 marks]2.
A scaled map shows a lake as 3.5 cm wide. If the actual lake is 4.2 km wide, what is the scale? Show your working.
[4 marks]F
Mixed Review & Error Analysis
Identify and correct common mistakes in the following questions.
1.
A student calculates the scale factor as 4 when the actual length is 8 cm and the scaled length is 32 cm. Is this correct? If not, explain and correct the mistake.
[3 marks]2.
A diagram shows a small model with a length of 6 cm but the student claims the real object is 60 cm. Is this scaling correct? Why or why not?
[3 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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet