From Origin: Mixed Review
Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A comprehensive worksheet on Enlargement from the Origin for Grade 7 students, covering procedural mastery, problem solving, real-world applications, and extensions.
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Full preview • 14 questions
From Origin: Mixed Review
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the coordinates of the image of the point (3, 4) after enlargement from the origin with a scale factor of 2.
[2 marks]2.
Find the new coordinates of the point (-5, 2) after enlargement from the origin with a scale factor of 3.
[2 marks]3.
Enlarge the point (0, -7) from the origin with a scale factor of 0.5. What are the resulting coordinates?
[2 marks]4.
If a point has coordinates (x, y), what are the coordinates after enlargement from the origin with scale factor 4?
[2 marks]B
Problem Solving & Reasoning
Answer all questions clearly, showing your working.
1.
A triangle has vertices at (1, 2), (3, 4), and (5, 0). It is enlarged from the origin with a scale factor of 3. What are the new coordinates of each vertex?
[4 marks]2.
A point is transformed from (x, y) to (6, 12). If the scale factor is 3, what were the original coordinates?
[3 marks]3.
A square with vertices at (1,1), (1,4), (4,4), and (4,1) is enlarged from the origin with a scale factor of 2. What are the new vertices?
[4 marks]4.
The point (x, y) is enlarged from the origin with scale factor 0.25. Its image is at (-1, -2). Find the original coordinates.
[3 marks]C
Real-world Applications
Answer all questions based on real-world scenarios.
1.
A map shows a park where the point representing a fountain is at (2, 3). If the map is enlarged from the origin with a scale factor of 4 to create a larger model, what are the new coordinates of the fountain?
[3 marks]2.
A company enlarges a blueprint of a room from the origin with a scale factor of 1.5. If a wall originally at (4, -2) is enlarged, what are its new coordinates?
[3 marks]D
Challenge & Extension
Attempt these more challenging problems involving enlargement from the origin.
1.
A rectangle has vertices at (2, 1) and (6, 4). It is enlarged from the origin with a scale factor of 0.5. What are the coordinates of the enlarged rectangle?
[4 marks]2.
A point at (x, y) is enlarged from the origin and mapped to (10, 15). If the scale factor is 5, what were the original coordinates?
[3 marks]E
Error Analysis
Identify the mistake in each scenario and correct it.
1.
A student enlarges the point (2, 3) with a scale factor of 2, but writes the image as (4, 5). What is the mistake?
[2 marks]2.
A learner enlarges from the origin with scale factor 0.5 and gets the point (-1, 2). They state the original was at (-2, 4). Is this correct? If not, correct it.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet