Finding Single Transformation: Real-world Applications
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores finding the single transformation that combines multiple transformations, with a focus on real-world map and travel contexts. It develops procedural skills and problem-solving abilities for GCSE Higher students.
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Finding Single Transformation: Real-world Applications
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.
A map shows a route where a point is rotated 90° clockwise around the origin, then translated 5 units right and 2 units up. Find the single transformation (rotation, translation, or reflection) that has the same effect as this combined transformation.
[3 marks]2.
A vehicle's position is reflected across the y-axis, then translated 3 units down. Write the single transformation that maps the original position to the final position.
[3 marks]3.
Construct a transformation that combines a 180° rotation around the origin with a translation of 4 units left and 1 unit up. Describe the single transformation.
[4 marks]4.
A map shows a point undergoing a reflection across the x-axis, followed by a translation 6 units right. What is the equivalent single transformation?
[3 marks]5.
A map point is translated 3 units right and then rotated 90° anticlockwise around the origin. Find the single transformation that produces the same result.
[4 marks]6.
A person moves 4 units north, then reflects across the y-axis. Write the single transformation equivalent to these steps.
[4 marks]7.
A vehicle is translated 7 units east, then rotated 180° around the origin. Find the single transformation that combines these actions.
[4 marks]8.
A map point is reflected across the y-axis, then translated 2 units down and 3 units left. Describe the single transformation.
[4 marks]9.
A transformation involves rotating 270° clockwise around the origin, followed by a translation of 5 units right and 2 units up. Write the equivalent single transformation.
[4 marks]10.
An object undergoes a reflection across the x-axis, then a translation 4 units left. What is the single transformation that achieves the same result?
[3 marks]11.
A map point is translated 2 units south, then reflected across the y-axis. Describe the single transformation.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet