Displacement: Challenge & Extension
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring displacement through vector subtraction, including procedural practice, real-world applications, and extension problems.
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Displacement: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the displacement vector when moving from point A at (2, 3) to point B at (5, 7).
[2 marks]2.
If vector AB is (4, -2) and vector BC is (-1, 5), find the displacement vector from point A to point C.
[3 marks]3.
A boat moves 6 km east and then 8 km north. What is its displacement from the starting point?
[2 marks]4.
Construct a triangle on the grid where the displacement from point P (2,2) to Q (5,6) is represented by vector PQ. Then, from point Q, plot a displacement of (-3, -4). What is the resultant displacement from P to this new point?
[4 marks]5.
A cyclist travels from point (1, 1) to (4, 4) and then to (6, 1). Calculate the total displacement from the start to the end point.
[3 marks]6.
A drone flies 10 km west and then 6 km south. What is its displacement vector?
[2 marks]7.
A hiker walks from (3, 5) to (3, 1), then to (7, 1). Find the overall displacement vector from start to finish.
[3 marks]8.
Identify and correct the mistake in the following displacement calculation: Moving from (2, 3) to (5, 7), the student calculated displacement as (3, 4).
[2 marks]9.
An airplane flies from (0, 0) to (300, 400). On a grid, plot the points and draw the displacement vector. What is the magnitude of this displacement?
[3 marks]10.
A vehicle travels 15 km north, then makes a 90° turn east and travels 20 km. What is the displacement from the starting point?
[2 marks]11.
Challenge: Two hikers start at the same point. Hiker A walks 8 km south, then 6 km east. Hiker B walks 10 km east, then 4 km south. Who is farther from the starting point, and by how much? Show your calculations.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet