Mastering Transformations: Enlargement

Mathematics
GCSE Foundation
11 questions
~22 mins
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A worksheet covering Transformations: Enlargement for GCSE Foundation students.

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Mastering Transformations: Enlargement

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
What is the scale factor of an enlargement if a figure's side length increases from 4 cm to 12 cm?
[2 marks]
2.
If a triangle with vertices at A(2, 3), B(4, 5), and C(6, 3) is enlarged with a scale factor of 2 from the origin, what are the coordinates of the new vertices?
[3 marks]
3.
Describe what an enlargement with a scale factor of 0.5 does to a shape.
[2 marks]
4.
A rectangle has vertices at (1, 2), (5, 2), (5, 6), and (1, 6). It is enlarged with a scale factor of 3 from the point (1, 2). Find the new coordinates of the vertices.
[4 marks]
5.
What is the effect of enlarging a shape with a centre at a point outside the shape?
[2 marks]
6.
Calculate the new position of point P(3, 4) when enlarged with a scale factor of 4 from the point (1, 1).
[3 marks]
7.
If a shape is enlarged by a scale factor of 1.5 from its centroid, what does this mean for its size?
[2 marks]
8.
A figure is enlarged with a scale factor of 2 from a point (0, 0). If a point on the original figure is at (3, 4), what are its new coordinates?
[3 marks]
9.
Explain how the position of the centre of enlargement affects the shape after enlargement.
[2 marks]
10.
A small triangle with vertices at (2, 1), (3, 4), and (1, 3) is enlarged by a scale factor of 3 from the point (2, 2). Find the new vertices.
[4 marks]
11.
Challenge: A city park is represented as a shape on a coordinate grid. The park is to be expanded by enlarging all its boundaries with a scale factor of 2 from a point outside the park. How will this transformation affect the park's area?
[5 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet