plumiRectangular Cartesian coordinates: Edexcel International GCSE Further Maths questions
Edexcel International GCSE Further Maths past-paper questions on 8 Rectangular Cartesian coordinates, 2019–2025, with mark schemes and examiner’s reports where available.
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All 21 questions on Rectangular Cartesian coordinates, as a list
- June 2025 (R), Paper 2, Q2 (10 marks): The point P has coordinates and the point Q has coordinates 3 18 7 3 , , The point R divides the line PQ in the ratio 2 3 : The line l passes through R and is p
- June 2025, Paper 1, Q2 (13 marks): , the point B has coordinates 8 3 and 2 The point A has coordinates 3 2 , , the point C has coordinates 4 7 , (a) Show that ABC is an isosceles triangle. (2) Th
- June 2024 (R), Paper 1, Q9 (12 marks): The point A has coordinates (−4, 3) and the point B has coordinates (6, 8) The points A and B lie on the line k (a) Find an equation of k (2) The point C, on k,
- June 2024, Paper 1, Q6 (16 marks): The line l passes through the point A with coordinates (– 2, 2 ) and the point B with coordinates (3, 12) The point C with coordinates (p, q) lies on l such tha
- November 2023, Paper 1, Q4 (9 marks): and the point B with coordinates q, 2 where 4 The point A with coordinates 12 14 , q is a constant, lie on the straight line with equation 3 y x p where p is 2
- June 2023 (R), Paper 2, Q8 (16 marks): and 9 9 respectively. 8 The points A and B have coordinates 1 5 , , (a) Find an equation of line AB, giving your answer in the form ax by c 0, where a, b and c
- June 2023, Paper 2, Q8 (17 marks): The points A and B have coordinates (−6, 8) and (12, 2) respectively. (a) Find an equation of the straight line passing through A and B in the form ax + by + c
- January 2023 (R), Paper 2, Q5 (11 marks): The line l with gradient – 1 12 passes through the points A and B with coordinates (p, 10) and (123, 0) respectively. (a) Show that p = 3 (2) (b) Find an equati
- January 2023, Paper 1, Q2 (13 marks): The point A has coordinates (–5, 3), the point B has coordinates (4, 0) and the point C has coordinates (–1, 5). The line l passes through C and is perpendicula
- June 2022 (R), Paper 1, Q11 (17 marks): An equation of the straight line l is y – 3x = 3 The point A on l lies on the y-axis. The point B on l has coordinates (10, b), where b is an integer. The point
- June 2022, Paper 2, Q9 (12 marks): The straight line L1 passes through the point A with coordinates (4, 7) and has gradient m, where m < 0 Another straight line L2 is perpendicular to L1 and pass
- January 2022 (R), Paper 1, Q3 (10 marks): The point A has coordinates (1, 7) and the point B has coordinates (9, 3) The line l is the perpendicular bisector of AB (a) Find an equation of l (5) The line
- January 2022 (R), Paper 2, Q2 (8 marks): The point A has coordinates (−7, −1) and the point B has coordinates (3, 4) (a) Find an equation of the line that passes through A and B Give your answer in the
- January 2022, Paper 1, Q10 (17 marks): The equation of the line L1 is y – 2x – 6 = 0 The point P with coordinates (2, a) lies on L1 (a) Find the value of a (1) The line L2 is perpendicular to L1 and
- November 2021, Paper 2, Q11 (15 marks): The points A and B have coordinates (–3, –5) and (7, 5) respectively. (a) Find an equation for the line AB (2) The point C has coordinates ( p, 1) where p < 0 G
- June 2021, Paper 2, Q4 (16 marks): The point A has coordinates (–4, –10) and the point B has coordinates (3, 11) The line l passes through A and B. (a) Find an equation of l. (2) The point P lies
- November 2020, Paper 1, Q5 (7 marks): The points P, Q, R and S have coordinates (4, 7), (3, 0), (10, 1) and (11, 8) respectively. (a) Show, by calculation, that the lines PR and QS are perpendicular
- January 2020 (R), Paper 1, Q9 (15 marks): The line l1 with equation y + 2x – 4 = 0 passes through the point P with coordinates (a, 6) and the point Q with coordinates (3, b). (a) Find the value of a and
- January 2020, Paper 1, Q6 (14 marks): The point A has coordinates (3, 0) and the point B has coordinates (2, 2). The line L1 passes through B and is perpendicular to AB. (a) Find an equation of L1 G
- June 2019 (R), Paper 1, Q11 (17 marks): The points A and B KDYH FRRUGLQDWHV í DQG UHVSHFWLYHO\ (a) Find an equation for the line AB. (2) The point P divides AB in the ratio 2 : 1 (b) Show that the coo
- June 2019, Paper 2, Q8 (11 marks): The point A has coordinates (2, 6), the point B has coordinates (6, 8) and the point C has coordinates (4, 2). (a) Find the exact length of (i) AB (ii) BC (iii)
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