plumiVectors: Edexcel International GCSE Maths questions
Every Edexcel International GCSE Maths exam question on 5.1 Vectors, 2019–2025, with its mark scheme and examiner’s report.
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All 28 questions on Vectors, as a list
- June 2025 (R), Paper 2 Higher, Q18 (3 marks): OAB is a triangle. A Diagram NOT accurately drawn P 4a O B 4b = 4a = 4b P is the point on AB such that AP : PB = 1 : 3 (a) Write down in terms of a and b (b) Ex
- June 2025, Paper 1 Higher, Q23 (5 marks): O Diagram NOT accurately drawn P Q R A B OAB is a triangle. P is the midpoint of OA Q is a point on OB ABR and PQR are straight lines. → = 12a OB → = 8b OA → in
- November 2024, Paper 1 Higher, Q24 (6 marks): OAB is a triangle. A Diagram NOT accurately drawn P R B Q O = 10a = 10b ARQ and ORP are straight lines. = 1 = 1 and 4 5 Write the following vectors in terms of
- November 2024, Paper 2 Higher, Q17 (3 marks): Here are two vectors. 5 4 2 14 Calculate the magnitude of the vector
- June 2024 (R), Paper 2 Higher, Q25 (6 marks): OPQR is a parallelogram. M P Q N Diagram NOT accurately drawn Y O R → = 2a and OR → = 3b OP = 1 The point M lies on PQ such that PM PQ 4 = 4 The point N lies on
- June 2024, Paper 2 Higher, Q24 (6 marks): 2a + b C B P Diagram NOT 3b accurately drawn O A 4a The diagram shows a quadrilateral OACB in which → = 4a OB → = 3b BC → = 2a + b OA → in terms of a and b (a)
- November 2023, Paper 2 Higher, Q22 (5 marks): Diagram NOT A accurately drawn 3a C P 2a − 2b O 4b B OACB is a quadrilateral. = 3a = 4b = 2a − 2b (a) (i) Find the vector in terms of a and b Simplify your answ
- June 2023 (R), Paper 1 Higher, Q19 (5 marks): The diagram shows a triangle ABC where A, B and C represent the positions of three towns. C Diagram NOT accurately drawn A B 7 3 → = → = AB BC 2 5 Pru
- June 2023, Paper 1 Higher, Q19 (5 marks): A Diagram NOT accurately drawn M P a O B b N OMA, ONB, MPB and NPA are straight lines. M is the midpoint of OA ON : NB = 1 : 5 → = a ON → = b OM → (a) Find in t
- January 2023 (R), Paper 1 Higher, Q22 (5 marks): The diagram shows triangle OAB with OA extended to E B Diagram NOT accurately drawn M N O A E → = a OB → = b OA M is the point on OB such that OM : MB = 4 : 1 N
- January 2023 (R), Paper 2 Higher, Q16 (2 marks): Here are two vectors. − 5 9 → = → = BA 4 BC 1 → as a column vector. Find AC → = AC
- January 2023, Paper 1 Higher, Q24 (5 marks): OAED is a quadrilateral. E Diagram NOT accurately drawn 7a + 3b C B A D 2b 2a O → → → = 2a OB = 2b DE = 7a + 3b OA AB : BD = 1 : 2 The point C on AB is such tha
- June 2022 (R), Paper 2 Higher, Q25 (5 marks): ABCD is a parallelogram and ADM is a straight line. B C Diagram NOT accurately drawn K L A M D → = a BC → = b DM → = 1 2 b AB K is the point on AB such that AK
- June 2022, Paper 2 Higher, Q21 (5 marks): P A Diagram NOT Q accurately drawn 4a O B 6b OAB is a triangle. Q is the point on AB such that OQP is a straight line. → = 4a OB → = 6b AP → = 2a + 8b OA Using
- January 2022 (R), Paper 1 Higher, Q24 (5 marks): OXYZ is a trapezium. Y Diagram NOT X accurately drawn M N O Z OX = a XY = b OZ = 3b M is the midpoint of OX N is the point such that MNZ and ONY are straight li
- January 2022, Paper 1 Higher, Q22 (5 marks): The diagram shows triangle OAB B Diagram NOT accurately drawn M N P O A → = 8a → = 6b OA OB M is the point on OB such that OM : MB = 1 : 2 N is the midpoint of
- November 2021, Paper 1 Higher, Q14 (8 marks): ABCDEF and GHIJKL are regular hexagons each with centre O. G H Diagram NOT accurately drawn A B a b L I F C O E D K J GHIJKL is an enlargement of ABCDEF, with c
- June 2021, Paper 1 Higher, Q26 (5 marks): OACB is a trapezium. 3b A C Diagram NOT 2a accurately drawn P O B 5b → = 2a OB → = 5b AC → = 3b OA The diagonals, OC and AB, of the trapezium intersect at the p
- January 2021 (R), Paper 1 Higher, Q13 (2 marks): Here are two vectors. − 5 2 → = → = AB CB 3 4 → Find, as a column vector, AC
- January 2021, Paper 1 Higher, Q23 (6 marks): OAB is a triangle. M A B P N Diagram NOT accurately drawn O → = 2a and OB → = 2b OA M is the midpoint of AB. N is the point on OB such that ON : NB = 2 : 1 P is
- November 2020 (R), Paper 2 Higher, Q25 (5 marks): B Diagram NOT accurately drawn M P O N A OAN, OMB, APB and MPN are straight lines. OA : AN = 1 : 4 OM : MB = 1 : 1 → = 2a OB → = 2b OA By using a vector method,
- November 2020, Paper 2 Higher, Q19 (3 marks): OAB is a triangle. → = a OB → = b OA The point C lies on OA such that OC : CA = 1 : 2 The point D lies on OB such that OD : DB = 1 : 2 Using a vector method, pr
- January 2020 (R), Paper 2 Higher, Q26 (5 marks): The diagram shows trapezium OACB. 4b A C Diagram NOT accurately drawn 3a O B 6b → = 3a OB → = 6b AC → = 4b OA N is the point on OC such that ANB is a straight l
- January 2020, Paper 2 Higher, Q23 (3 marks): B 4a Diagram NOT accurately drawn M P A 2b C ABC is a triangle. The midpoint of BC is M. P is a point on AM. → = 4a AB → = 2b AC → = 3 2 a + 3 AP 4 b Find the r
- June 2019 (R), Paper 1 Higher, Q24 (5 marks): P A B Diagram NOT accurately drawn a Q O c C → = a OC → = c AB → = 2c OA P is the point on AB such that AP : PB = 3 : 1 Q is the point on AC such that OQP is a
- June 2019, Paper 2 Higher, Q14 (3 marks): Here are two vectors. → = 6 → = 1 ⎛ ⎞ ⎛ ⎞ AB ⎠⎟ CB ⎝⎜ ⎝⎜ ⎠⎟ − 9 3 →. Find the magnitude of AC
- January 2019 (R), Paper 1 Higher, Q22 (4 marks): ABCDEF is a regular hexagon. B A X Diagram NOT accurately drawn F C D E ABX and DCX are straight lines. → = a BC → = b AB → in terms of a and b. Find EX Give yo
- January 2019, Paper 2 Higher, Q23 (5 marks): ABCD is a trapezium. → = 3AB → DC − 2 − 1 → = → = DA 3 DB 7 → Find the exact magnitude of BC
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