Scaling: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on scaling concepts through problem solving and reasoning involving ratios and proportions for GCSE Higher students.
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Full preview • 11 questions
Scaling: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If a model is scaled up by a factor of 3, what is the new size if the original was 5 units?
[2 marks]2.
A map has a scale of 1:50,000. If the distance between two cities on the map is 4.2 cm, what is the actual distance?
[3 marks]3.
A recipe scaled from 4 servings to 10 servings. If the original recipe required 200g of sugar, how much sugar is needed for 10 servings?
[2 marks]4.
Construct a triangle with sides in the ratio 3:4:5, with the shortest side measuring 6 cm. Show all working.
[4 marks]5.
A scale drawing of a garden shows it as 8 cm long. The actual garden is 24 meters long. What is the scale factor of the drawing?
[2 marks]6.
A car's speed is scaled up from 60 km/h to 180 km/h. What is the scale factor of the increase? Explain your reasoning.
[3 marks]7.
A model airplane is scaled down by a factor of 1/4. If the model's wingspan is 15 cm, what is the wingspan of the real airplane?
[2 marks]8.
A sculpture is scaled up from its original size to twice the size. The original sculpture's height is 3 meters. What is the height after scaling?
[2 marks]9.
A trader reduces the price of an item by 25%. If the original price was £80, what is the new price?
[2 marks]10.
A drawing of a car has a length of 12 cm. The actual car length is 4.8 meters. What is the scale of the drawing? Show your working.
[3 marks]11.
In a scaling problem, a student incorrectly calculates the scale factor as 1:2 when the actual length is 10 cm and the scaled length is 20 cm. Identify and correct the mistake.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet