Displacement: Fluency & Practice

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the concept of displacement through vector subtraction, aimed at Grade 7 students. It includes procedural questions, real-world scenarios, and challenging extension problems to develop a deep understanding of displacement.

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Full preview • 12 questions

Displacement: Fluency & Practice

Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Given vectors A = (3, 4) and B = (1, 2), calculate the displacement vector from point A to point B using vector subtraction.
[2 marks]
2.
If the position vectors of a moving object are P = (5, 7) and Q = (2, 3), what is the displacement vector from P to Q?
[2 marks]
3.
Construct the displacement vector from point (2, 3) to point (7, 8) on the grid.
[2 marks]
4.
A boat moves from point A at (4, 1) to point B at (10, 5). Find the displacement vector.
[2 marks]
5.
Plot the graph of the vector displacement from (1, 2) to (4, 6).
[2 marks]
6.
A hiker starts at (0, 0) and walks to (3, 4), then back to (1, 1). What is the total displacement vector from the starting point to the final position?
[3 marks]
7.
A cyclist travels from (2, 3) to (5, 7). What is the displacement vector?
[2 marks]
8.
Construct a vector representing displacement from (6, 2) to (3, 7).
[2 marks]
9.
A drone moves from (10, 10) to (15, 14). Calculate the displacement vector.
[2 marks]
10.
A car travels 20 km east and then 15 km north. Represent this displacement as a vector.
[3 marks]
11.
Identify and correct the mistake in the following vector subtraction: From (7, 5), the displacement to (3, 9) is calculated as (3 - 7, 9 - 5) = (-4, 4).
[3 marks]
12.
A delivery driver moves from warehouse (2, 3) to shop (5, 1), then to the warehouse again. What is the net displacement from the start to the end point?
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet