From a Point: Mixed Review
Mathematics
GCSE Higher
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A mixed review worksheet focusing on enlargement from a point with positive scale factors, suitable for GCSE Higher students. Covers procedural skills, reasoning, real-world contexts, and extension challenges.
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Full preview • 10 questions
From a Point: Mixed Review
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 image of point P(3, 4) when enlarged from the origin (0,0) with a scale factor of 2. Write the coordinates of the image.
[2 marks]2.
A triangle is formed with vertices at A(2, 3), B(4, 1), and C(3, 5). The triangle is enlarged from point (1, 2) with a scale factor of 3. Calculate the new coordinates of point B.
[3 marks]3.
Construct the image of point Q(5, 2) when enlarged from point (1, 1) with scale factor 4. Describe the steps you would take to do this on the grid.
[3 marks]4.
A rectangle has vertices at (2, 2), (6, 2), (6, 4), and (2, 4). If it is enlarged from point (4, 3) with scale factor 0.5, what are the coordinates of the enlarged rectangle's vertices?
[4 marks]5.
A square has side length 4 units, with vertices at (1,1), (5,1), (5,5), and (1,5). It is enlarged from the point (0,0) with a scale factor of 3. What is the length of the side of the enlarged square?
[2 marks]6.
A real-world scenario: A poster at 1.5 meters wide is enlarged from a point at the corner of a room. The enlarged poster has a width of 4.5 meters. What is the scale factor used for enlargement?
[2 marks]7.
Identify and correct the mistake in the following statement: 'Enlarging a shape from a point with a scale factor less than 1 will always produce a larger image.'
[3 marks]8.
Given point R(2, 5), enlarge from point (3, 3) with a scale factor of 1.5. Calculate the coordinates of the image.
[3 marks]9.
A triangle is enlarged from point (0,0) with scale factor 4. If one vertex is at (3, 4), what are the coordinates of the image?
[2 marks]10.
Challenge: A shape is enlarged from point (2,2) with scale factor 2. The original shape extends from (1,1) to (3,4). What are the new coordinates of this shape after enlargement?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet