Enlargement: Challenge & Extension
Mathematics
GCSE Higher
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet exploring enlargement through scale factors, including practice, reasoning, real-world applications, and extension questions for GCSE Higher students.
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Enlargement: Challenge & Extension
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.
Calculate the scale factor used when an original drawing of a rectangle measuring 4 cm by 6 cm is enlarged to a drawing measuring 8 cm by 12 cm.
[3 marks]2.
A triangle with sides 5 cm, 7 cm, and 9 cm is enlarged by a scale factor of 3. What are the lengths of the sides in the enlarged triangle?
[4 marks]3.
A photograph is enlarged from 10 cm by 15 cm to a size where the length is 30 cm. What is the scale factor of the enlargement?
[2 marks]4.
Plot the graph of y = 2x for x from 0 to 10 on the grid.
[2 marks]5.
Construct a triangle with sides in the ratio 3:4:5 and a perimeter of 60 cm. Draw this on the grid.
[4 marks]6.
A scale drawing of a park has a length of 12 cm representing 300 meters in real life. What is the scale factor from the drawing to real size?
[3 marks]7.
A model airplane has a wingspan of 25 cm. If the real airplane’s wingspan is 50 meters, what is the scale factor of the model?
[3 marks]8.
A blueprints of a building show a length of 8 meters. The actual length of the building is 64 meters. What is the scale factor used in the blueprint?
[3 marks]9.
A rectangular garden measures 9 meters by 12 meters. It is enlarged so that the new length is 24 meters. Find the new width assuming the enlargement maintains the same ratio.
[4 marks]10.
Identify and correct the mistake: A student enlarges a drawing from 5 cm to 15 cm, claiming the scale factor is 3. Is this correct? If not, what is the actual scale factor?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet