|v| = √(x² + y²): Mixed Review
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing the calculation and application of the magnitude of vectors using |v| = √(x² + y²). Suitable for Grade 7 students to develop procedural and problem-solving skills.
Worksheet Preview
Full preview • 12 questions
|v| = √(x² + y²): Mixed Review
Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the magnitude of the vector v = (3, 4).
[2 marks]2.
Find the magnitude of the point (6, 8).
[2 marks]3.
Determine |v| for v = (-5, 12).
[2 marks]4.
Calculate |v| for the point (0, -7).
[2 marks]5.
If a vector v = (x, y) has magnitude 10 and x = 6, find y.
[3 marks]6.
Plot the point (4, 3) on the grid and determine the magnitude of the vector from the origin to this point.
[3 marks]7.
Construct a triangle with vertices at (0, 0), (3, 0), and (3, 4). Calculate the length of the hypotenuse from (0, 0) to (3, 4).
[3 marks]8.
A boat is located at (8, 15) relative to a dock at the origin. How far is the boat from the dock?
[2 marks]9.
A spray of water hits a target at (9, 12). What is the magnitude of the vector from the spray to the target?
[2 marks]10.
A swimmer starts at point (0, 0) and swims to point (6, 8). How long is the swimmer's path?
[2 marks]11.
Identify and correct the mistake: A student calculates |v| = √(x² + y²) for v = (3, 4) and gets 7. Explain the error and provide the correct magnitude.
[4 marks]12.
Challenge: A drone flies to points (10, 24) and (0, 0). Calculate the total straight-line distance traveled if the drone flies directly from the origin to (10, 24) and then to (0, 0).
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet