Mastering Vectors
Mathematics
Grade 6
1 questions
~2 mins
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About This Worksheet
A worksheet covering Vectors for Grade 6 students.
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Mastering Vectors
Subject: MathematicsGrade: Grade 6
Name:
Date:
Untitled Worksheet
Grade Grade 6
A
Introduction
Read the brief explanation below before attempting the questions.
1.
A vector is a quantity that has both a magnitude (size) and a direction. It can be represented by an arrow where the length indicates the magnitude and the arrowhead indicates the direction. The basic operations include addition and subtraction of vectors.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If vector A has a magnitude of 5 units and points east, and vector B has a magnitude of 3 units and points north, what are the components of each vector?
[2 marks]2.
Add the vectors A and B described above. What is the resultant vector's approximate magnitude?
[3 marks]3.
Subtract vector B from vector A. What are the components of the resulting vector?
[3 marks]4.
If vector C has a magnitude of 7 units at 45° northeast, what are its x and y components?
[3 marks]5.
Explain in your own words how vectors can be used to describe movement from one point to another.
[2 marks]6.
A boat travels 4 km east and then 3 km north. Draw the resultant displacement vector.
[2 marks]7.
Two vectors of 6 units and 8 units are added. Which one could be the angle between them if the resultant is 10 units?
[2 marks]A30°
B45°
C60°
D90°
8.
If vector D is doubled in size, how does its magnitude change?
[1 mark]AIt halves
BIt doubles
CIt stays the same
DIt triples
9.
A student draws a vector with a length of 7 cm pointing southwest. Describe the components in terms of direction.
[2 marks]10.
Challenge: A drone flies 10 km at a bearing of 60° northeast, then 5 km south. What is its resultant displacement using vector addition?
[4 marks]11.
Real-world application: Explain how vectors are useful in navigation and GPS technology.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet