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Geometry on coordinate axes: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on G11 Geometry on coordinate axes, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q20

    June 2025 · Paper 2H

    The whole paper ↗
    June 2025 Paper 2H, question 20: y L A D O B x In the diagram A is the point (0, 8) B is the point (16, 0) The point D divides the line segment AB in the ratio 1 : 3 The line L passes through D
  2. Q7

    June 2025 · Paper 3H

    The whole paper ↗
    June 2025 Paper 3H, question 7: ABC is a straight line. y C B (8, 12) A (2, 7) O x Point A has coordinates (2, 7) Point B has coordinates (8, 12) BC = 1 2 AB Find the coordinates of point C. (
  3. Q21

    November 2024 · Paper 2H

    The whole paper ↗
    November 2024 Paper 2H, question 21: The point P has coordinates (–4, 5) The point Q has coordinates (6, –6) The point R has coordinates (k, k + 3) Given that angle PRQ is a right angle, find the p
  4. Q16

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 16: OBCD is a rectangle. DCE is a straight line. y D x O C B E B has coordinates (2, −4) E has coordinates (12, −6.5) Work out the coordinates of D. You must show a
  5. Q12

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 12: A is the point with coordinates (7, 13) B is the point with coordinates (−3, 21) C is the point with coordinates (15, 23) M is the midpoint of AB. N is the midp
  6. Q13

    November 2022 · Paper 2H

    The whole paper ↗
    November 2022 Paper 2H, question 13: A and B are points on a centimetre grid. A is the point with coordinates (−7, 6) B is the point with coordinates (8, −5) Work out the length of AB. Give your an
  7. Q5

    June 2022 · Paper 2H

    The whole paper ↗
    June 2022 Paper 2H, question 5: The points L, M and N are such that LMN is a straight line. The coordinates of L are (−3, 1) The coordinates of M are (4, 9) Given that LM : MN = 2 : 3, find th
  8. Q11

    November 2021 · Paper 2H

    The whole paper ↗
    November 2021 Paper 2H, question 11: Here is a sketch of the line L. y L R Q(0, 3) P(–6, 0) O x The points P(–6, 0) and Q(0, 3) are points on the line L. The point R is such that PQR is a straight
  9. Q13

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 13: A pattern is made from four identical rectangles. The sides of the rectangles are parallel to the axes. y B(11, 20) C A(3, 4) O x Point A has coordinates (3, 4)
  10. Q25

    November 2019 · Paper 2H

    The whole paper ↗
    November 2019 Paper 2H, question 25: The straight line L has equation 3x + 2y = 17 The point A has coordinates (0, 2) The straight line M is perpendicular to L and passes through A. Line L crosses
  11. Q22

    June 2019 · Paper 3H

    The whole paper ↗
    June 2019 Paper 3H, question 22: The diagram shows a circle, centre O. y P (3p, p) B (16, 0) O x 30° A AB is the tangent to the circle at the point A. Angle OBA 30° Point B has coordinates (16,
  12. Q6

    June 2018 · Paper 1H

    The whole paper ↗
    June 2018 Paper 1H, question 6: A pattern is made from four identical squares. The sides of the squares are parallel to the axes. y B (38, 36) C A (6, 7) O x Point A has coordinates (6, 7) Poi
  13. Q19

    November 2017 · Paper 1H

    The whole paper ↗
    November 2017 Paper 1H, question 19: M y L A E x O D B C ABCD is a rectangle. A, E and B are points on the straight line L with equation x + 2y = 12 A and D are points on the straight line M. AE =
  14. Q19

    November 2017 · Paper 2H

    The whole paper ↗
    November 2017 Paper 2H, question 19: is 4 marks)
  15. Q18

    June 2017 · Paper 1H

    The whole paper ↗
    June 2017 Paper 1H, question 18: y A B D C x O ABCD is a rhombus. The coordinates of A are (5,11) The equation of the diagonal DB is y = 1 2 x + 6 Find an equation of the diagonal AC.
All 15 questions on Geometry on coordinate axes, as a list
  1. June 2025, Paper 2H, Q20 (5 marks): y L A D O B x In the diagram A is the point (0, 8) B is the point (16, 0) The point D divides the line segment AB in the ratio 1 : 3 The line L passes through D
  2. June 2025, Paper 3H, Q7 (3 marks): ABC is a straight line. y C B (8, 12) A (2, 7) O x Point A has coordinates (2, 7) Point B has coordinates (8, 12) BC = 1 2 AB Find the coordinates of point C. (
  3. November 2024, Paper 2H, Q21 (5 marks): The point P has coordinates (–4, 5) The point Q has coordinates (6, –6) The point R has coordinates (k, k + 3) Given that angle PRQ is a right angle, find the p
  4. November 2024, Paper 3H, Q16 (5 marks): OBCD is a rectangle. DCE is a straight line. y D x O C B E B has coordinates (2, −4) E has coordinates (12, −6.5) Work out the coordinates of D. You must show a
  5. November 2023, Paper 2H, Q12 (3 marks): A is the point with coordinates (7, 13) B is the point with coordinates (−3, 21) C is the point with coordinates (15, 23) M is the midpoint of AB. N is the midp
  6. November 2022, Paper 2H, Q13 (2 marks): A and B are points on a centimetre grid. A is the point with coordinates (−7, 6) B is the point with coordinates (8, −5) Work out the length of AB. Give your an
  7. June 2022, Paper 2H, Q5 (4 marks): The points L, M and N are such that LMN is a straight line. The coordinates of L are (−3, 1) The coordinates of M are (4, 9) Given that LM : MN = 2 : 3, find th
  8. November 2021, Paper 2H, Q11 (5 marks): Here is a sketch of the line L. y L R Q(0, 3) P(–6, 0) O x The points P(–6, 0) and Q(0, 3) are points on the line L. The point R is such that PQR is a straight
  9. November 2021, Paper 3H, Q13 (5 marks): A pattern is made from four identical rectangles. The sides of the rectangles are parallel to the axes. y B(11, 20) C A(3, 4) O x Point A has coordinates (3, 4)
  10. November 2019, Paper 2H, Q25 (5 marks): The straight line L has equation 3x + 2y = 17 The point A has coordinates (0, 2) The straight line M is perpendicular to L and passes through A. Line L crosses
  11. June 2019, Paper 3H, Q22 (4 marks): The diagram shows a circle, centre O. y P (3p, p) B (16, 0) O x 30° A AB is the tangent to the circle at the point A. Angle OBA 30° Point B has coordinates (16,
  12. June 2018, Paper 1H, Q6 (5 marks): A pattern is made from four identical squares. The sides of the squares are parallel to the axes. y B (38, 36) C A (6, 7) O x Point A has coordinates (6, 7) Poi
  13. November 2017, Paper 1H, Q19 (4 marks): M y L A E x O D B C ABCD is a rectangle. A, E and B are points on the straight line L with equation x + 2y = 12 A and D are points on the straight line M. AE =
  14. November 2017, Paper 2H, Q19 (4 marks): is 4 marks)
  15. June 2017, Paper 1H, Q18 (4 marks): y A B D C x O ABCD is a rhombus. The coordinates of A are (5,11) The equation of the diagonal DB is y = 1 2 x + 6 Find an equation of the diagonal AC.

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