plumiVectors: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on G25 Vectors, 2017–2025, with its mark scheme and examiner’s report.
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All 13 questions on Vectors, as a list
- November 2024, Paper 6, Q6 (5 marks): AB KK OO and BC KK OO. = = 1 6 – L P L P (a) On the grid below, draw AB. (b) Work out AC. J N K O K O K O L P (c) Write down BA. J N K O K O K O L P
- June 2024, Paper 5, Q11 (6 marks): Vector a and vector 2b are drawn on this grid. 2b a (a) Write vector a as a column vector. J N KKKK OOOO (a) L P (b) Write a column vector that is different in
- November 2023, Paper 5, Q5 (3 marks): Work out. J N J N 3 2 – (a) KK OO KK OO + 1 4 – L P L P J N K O (a) K O K O L P J N J N 5 1 (b) KK OO 2 KK OO - 3 – 4 L P L P J N K O (b) K O K O L P
- June 2023, Paper 5, Q20 (7 marks): OABC is a parallelogram. C B Not to scale c N O A a OA a and OC c . = = The point N lies on line AB such that AN : NB = 3 : 5. (a) Find the following vectors in
- November 2020, Paper 6, Q7 (4 marks): Vectors a and 4b are drawn on the grid. a 4b (a) Write vector a as a column vector. J N K O (a) K O K O L P (b) Find vector b as a column vector. J N K O (b) K
- November 2020, Paper 6, Q20 (4 marks): Vector m = = 11 k L P L P J N 1 KK OO. Vector m n 2 is parallel to -1 + L P Find the value of k. k =
- November 2019, Paper 6, Q9 (6 marks): Vector a = = -1 3 L P L P (a) Find the values of k and n so that J N 10 KK OO . a b k ( ) + = n L P (a) k = n = J N 5 KK OO . (b) Gavin starts to draw a diagram
- June 2019, Paper 4, Q15 (5 marks): The diagram shows triangle OAB and points C and D. A Not to scale D 3a C O B 3b OA 3 a and OB 3 b . = = C lies on AB such that AC 2 CB . = D is such that BD 2 a
- November 2018, Paper 6, Q20 (8 marks): (a) b is a vector. J N J N Given that b + 5 OO is parallel to 2 KK KK OO, find two possible answers for b. 2 1 L P L P J N J N K O K O (a) b = OO or OO KK KK L
- June 2018, Paper 5, Q3 (3 marks): Work out. J N J N – 3 5 (a) KK OO KK OO + 2 7 L P L P J N K O (a) K O K O L P J N J N 3 1 (b) 2 KK OO KK OO - 4 – 3 L P L P J N K O (b) K O K O L P
- June 2018, Paper 6, Q10 (3 marks): Two vectors, a and b, are shown on the 1 centimetre grid below. a b Show that the vector a + 2b has length 7 cm. You may use the grid below.
- November 2017, Paper 6, Q16 (7 marks): ABCD is a parallelogram. F B C E a G Not to scale D A b a b BD = and AD = . F is the midpoint of BC. G is the midpoint of DC. AE = 3EB. (a) Write down simplifie
- June 2017, Paper 5, Q11 (5 marks): Vector a = = 1 1 L P L P (a) On each grid below, draw a vector to represent (i) 2a, (ii) a + b. (b) Emma says that if she draws vector a and vector b they will
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