AQA
GCSE
Maths
Vectors
AQA GCSE Maths revision on Vectors. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
-
Question 1
Vector a = (3, 4) and b = (1, 2). a + b = ?
- A) (4, 6)
- B) (2, 2)
- C) (3, 8)
- D) (4, 8)
Show answer
Answer: (4, 6)
Vector addition: add corresponding components. (3+1, 4+2) = (4, 6).
-
Question 2
Vector p = (5, -2). 2p = ?
- A) (10, -4)
- B) (7, 0)
- C) (5, -4)
- D) (10, -2)
Show answer
Answer: (10, -4)
Scalar multiplication: multiply each component by the scalar. 2 x (5, -2) = (10, -4).
-
Question 3
a = (4, 3). Magnitude |a|?
Show answer
Answer: 5
Magnitude (length) of vector (a, b) = sqrt(a^2 + b^2). sqrt(16+9) = sqrt(25) = 5.
Want to test yourself on the remaining cards for this topic?
13 more questions on Vectors — plus mistakes tracking and spaced repetition across the whole Maths spec.