plumiVectors: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on G25 Vectors, 2017–2025, with its mark scheme and examiner’s report.
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All 19 questions on Vectors, as a list
- June 2025, Paper 3H, Q23 (5 marks): OACB is a quadrilateral. ACP is a straight line. A C P N M O B M is the midpoint of OA. N is the point on BC such that BN : NC = 5 : 3 → = a OB → = 3b AC → = 2b
- November 2024, Paper 1H, Q15 (4 marks): OXYZ is a parallelogram. Y X M O Z N → = a and OZ → = b OY M is the point on OY such that OM : MY = 1 : 3 N is the point on OZ such that ON : NZ = 1 : 2 Work ou
- June 2024, Paper 2H, Q19 (5 marks): The diagram shows quadrilateral OACB. A C M N O B M is the midpoint of OA. N is the point on BC such that BN : NC = 4 : 5 → = a OB → = b AC → = kb where k is a
- June 2024, Paper 3H, Q8 (3 marks): a b 2 4 On the grid below, draw and label the vector 2a + b
- November 2023, Paper 2H, Q18 (4 marks): B F E C A G H D ABCD is a quadrilateral. E, F, G and H are the midpoints of AB, BC, CD and DA. → = a AE → = b DG → = c AH Prove, using vectors, that EFGH is a p
- June 2023, Paper 2H, Q20 (4 marks): ORT is a triangle. R b M O T a → = a RT → = b OT M is the point on OR such that OM : MR = 2 : 3 → in terms of a and b. Express MT Give your answer in its simple
- June 2023, Paper 3H, Q22 (3 marks): Given that the vector a b 6 2 6 find an expression for b in terms of a.
- November 2022, Paper 3H, Q24 (4 marks): CDEF is a quadrilateral. 2a D C b F E a → = a ED → = b CD → = 2a FE The point P is such that CEP is a straight line and that CE = EP Use a vector method to prov
- June 2022, Paper 1H, Q15 (5 marks): A, B and C are three points such that → = 3a + 4b AB → = 15a + 20b AC (a) Prove that A, B and C lie on a straight line. D, E and F are three points on a straigh
- June 2022, Paper 3H, Q13 (3 marks): a and b are vectors such that 2 8 a = and 3a − 2b = − 3 − 17 Find b as a column vector.
- November 2021, Paper 3H, Q18 (4 marks): OABC is a trapezium. b A B E a D O C 3b → = a OA → = b AB → = 3b OC D is the point on OB such that OD : DB = 2 : 3 E is the point on BC such that BE : EC = 1 :
- November 2020, Paper 1H, Q21 (4 marks): DEF is a triangle. D P Q F E P is the midpoint of FD. Q is the midpoint of DE. → = a and FE → = b FD Use a vector method to prove that PQ is parallel to FE.
- November 2020, Paper 2H, Q6 (2 marks): a = b = 4 − 2 Find 2a – 3b as a column vector.
- November 2019, Paper 3H, Q24 (5 marks): OXYZ is a parallelogram. Z Y R O X P OX = a OY = b P is the point on OX such that OP : PX = 1 : 2 R is the point on OY such that OR : RY = 1 : 3 Work out, in it
- June 2019, Paper 2H, Q20 (6 marks): CDEF is a quadrilateral. C D M X F E → = a, DE → = b and FC → = a – b. CD → in terms of a and/or b. (a) Express FE Give your answer in its simplest form. M is t
- November 2018, Paper 1H, Q21 (5 marks): A M P O N B OAB is a triangle. OPM and APN are straight lines. M is the midpoint of AB. o o = a OB = b OA OP : PM = 3 : 2 Work out the ratio ON : NB
- June 2018, Paper 2H, Q10 (3 marks): The vector a and the vector b are shown on the grid. y 6 b a 4 2 x O 2 4 6 8 (a) On the grid, draw and label vector –2a (b) Work out a + 2b as a column vector.
- November 2017, Paper 3H, Q21 (5 marks): N A P O B M OAN, OMB and APB are straight lines. AN = 2OA. M is the midpoint of OB. l = a OB l = b OA l = k AB l where k is a scalar quantity. AP Given that MPN
- June 2017, Paper 1H, Q19 (4 marks): A B a O C c OABC is a parallelogram. o = a and OC o = c OA X is the midpoint of the line AC. OCD is a straight line so that OC : CD = k : 1 o = 3cí 1 Given th
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