|v| = √(x² + y²): Fluency & Practice
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the magnitude of vectors using |v| = √(x² + y²), designed to develop procedural fluency for GCSE Foundation students.
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|v| = √(x² + y²): Fluency & Practice
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.
Calculate the magnitude of the vector with components x=3 and y=4.
[2 marks]2.
Find |v| for the vector where x = -6 and y = 8.
[2 marks]3.
A vector has components x=0 and y=12. What is its magnitude?
[2 marks]4.
Calculate |v| when x=5 and y=12.
[2 marks]5.
The components of a vector are x=7 and y=24. Find its magnitude.
[2 marks]6.
A vector has components x=9 and y=40. Calculate its magnitude.
[2 marks]7.
Construct a vector with components x=6 and y=8, then calculate its magnitude.
[3 marks]8.
A vector has components x=-3 and y=-4. Find its magnitude.
[2 marks]9.
Plot the graph of y=2x for x values from -3 to 3 on the grid.
[3 marks]10.
Construct a right-angled triangle with sides x=3 and y=4. Calculate the hypotenuse (vector magnitude).
[3 marks]11.
A vector has components x=10 and y=24. Calculate its magnitude. Is this vector longer than one with components 7 and 24?
[4 marks]12.
Identify and correct the mistake: A student calculates |v| for components x=3 and y=4 as 7.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet