Displacement: Mixed Review
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet covering displacement using column vectors and subtraction, designed for GCSE Higher students to reinforce procedural skills, problem solving, and real-world applications.
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Displacement: Mixed Review
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the displacement vector when moving from point A (3, 4) to point B (7, 1).
[2 marks]2.
Find the displacement vector from C (−2, 5) to D (1, 2).
[2 marks]3.
Subtract the vectors: (5, -3) from (2, 4).
[2 marks]4.
A boat moves from point P (2, 3) to Q (6, 7). What is the displacement vector?
[2 marks]5.
Construct the vector subtraction from R (−1, 2) to S (4, 6).
[3 marks]6.
A cyclist starts at (0, 0) and travels to (3, 4). Then, they change direction to (1, -2). What is the total displacement from start to finish?
[4 marks]7.
A drone moves from (2, 5) to (−3, 1). Calculate its displacement vector.
[2 marks]8.
If vector u = (4, -2) and vector v = (1, 3), find u − v.
[2 marks]9.
A car travels from point A (−4, 3) to point B (2, 7). Then, it changes direction to arrive at point C (0, 2). What is the overall displacement from A to C?
[4 marks]10.
Identify and correct the mistake: The vector from (1, 2) to (4, 6) is given as (3, 6).
[2 marks]11.
Challenge: Two points, A (−2, 3) and B (4, −1), are connected by a vector. If the vector from A is doubled, what is the new displacement vector?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet