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Geometry on coordinate axes: AQA GCSE Maths questions

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

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1,304 questions

  1. Q22

    June 2025 · Paper 1H

    The whole paper ↗
    June 2025 Paper 1H, question 22: Here is a sketch of straight line EG. F is a point on EG such that EF = 1 3 EG Work out the coordinates of F. Answer ( , )
  2. Q8

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 8: A triangle is drawn using the lines y = x x = –2 y = 4 Work out the coordinates of the three vertices of the triangle. Answer ( , ) ( , ) ( , )
  3. Q15

    June 2024 · Paper 3H

    The whole paper ↗
    June 2024 Paper 3H, question 15: A straight line passes through points A (–5, 9), B and C (3, –7). Not drawn accurately 15 (a) AB : BC = 1 : 3 Work out the coordinates of point B. Answer ( , )
  4. Q3

    November 2023 · Paper 1H

    The whole paper ↗
    November 2023 Paper 1H, question 3: A is (2, 0) and B is (0, –4) Work out the midpoint of AB. Answer ( , )
  5. Q24

    June 2023 · Paper 1H

    The whole paper ↗
    June 2023 Paper 1H, question 24: Points P, Q and R (8, 22) form a triangle. PQ is a horizontal line, with P on the y-axis. Angle PRQ is a right angle. The gradient of PR is 2 Work out the coord
  6. Q9

    June 2023 · Paper 2H

    The whole paper ↗
    June 2023 Paper 2H, question 9: A (1, 3) and B (2, 9) are points on a centimetre grid. ABCD is a parallelogram. AD and BC are horizontal and each has length 5 cm The diagonals of ABCD cross at
  7. Q19

    June 2022 · Paper 2H

    The whole paper ↗
    June 2022 Paper 2H, question 19: A, B, C, D and E are points on a straight line. A, B, C and D are equally spaced. AD : DE = 2 : 1 Work out the coordinates of E. Answer ( , )
  8. Q9

    November 2021 · Paper 1H

    The whole paper ↗
    November 2021 Paper 1H, question 9: The diagram shows an octagon. x = 1 and y = 5 are lines of symmetry. Work out the coordinates of point Q. Not drawn accurately Answer ( , )
  9. Q3

    November 2019 · Paper 1H

    The whole paper ↗
    November 2019 Paper 1H, question 3: A is (2, 13) and B is (10, 1) Circle the midpoint of AB. (4, 6) (5, 6.5) (6, 7) (8, 12)
  10. Q2

    November 2018 · Paper 2H

    The whole paper ↗
    November 2018 Paper 2H, question 2: P is (4, 9) and Q is (–2, 1) Circle the midpoint of PQ. (1, 5) (3, 4) (3, 5) (6, 8)
  11. Q7

    June 2018 · Paper 1H

    The whole paper ↗
    June 2018 Paper 1H, question 7: A (0, 2) and B (6, 5) are points on the straight line ABCD. AB = BC = CD Work out the coordinates of D. Not drawn accurately Answer ( , )
  12. Q21

    November 2017 · Paper 1H

    The whole paper ↗
    November 2017 Paper 1H, question 21: A, B and C are points on the axes as shown. The area of triangle ABC is 28 square units. Work out possible coordinates for A, B and C. Not drawn accurately A (
  13. Q3

    June 2017 · Paper 2H

    The whole paper ↗
    June 2017 Paper 2H, question 3: A is (2, 12) and B is (8, 2) Circle the midpoint of AB. (3, 5) (4, 6) (5, 7) (6, 10)
  14. Q28

    Specimen · Paper 3H

    The whole paper ↗
    Specimen Paper 3H, question 28: The diagram shows a line joining O to P. The gradient of the line is 2 The length of the line is 2645 Work out the coordinates of P. O P x Not drawn accurately
All 14 questions on Geometry on coordinate axes, as a list
  1. June 2025, Paper 1H, Q22 (3 marks): Here is a sketch of straight line EG. F is a point on EG such that EF = 1 3 EG Work out the coordinates of F. Answer ( , )
  2. November 2024, Paper 3H, Q8 (4 marks): A triangle is drawn using the lines y = x x = –2 y = 4 Work out the coordinates of the three vertices of the triangle. Answer ( , ) ( , ) ( , )
  3. June 2024, Paper 3H, Q15 (7 marks): A straight line passes through points A (–5, 9), B and C (3, –7). Not drawn accurately 15 (a) AB : BC = 1 : 3 Work out the coordinates of point B. Answer ( , )
  4. November 2023, Paper 1H, Q3 (1 mark): A is (2, 0) and B is (0, –4) Work out the midpoint of AB. Answer ( , )
  5. June 2023, Paper 1H, Q24 (5 marks): Points P, Q and R (8, 22) form a triangle. PQ is a horizontal line, with P on the y-axis. Angle PRQ is a right angle. The gradient of PR is 2 Work out the coord
  6. June 2023, Paper 2H, Q9 (4 marks): A (1, 3) and B (2, 9) are points on a centimetre grid. ABCD is a parallelogram. AD and BC are horizontal and each has length 5 cm The diagonals of ABCD cross at
  7. June 2022, Paper 2H, Q19 (3 marks): A, B, C, D and E are points on a straight line. A, B, C and D are equally spaced. AD : DE = 2 : 1 Work out the coordinates of E. Answer ( , )
  8. November 2021, Paper 1H, Q9 (2 marks): The diagram shows an octagon. x = 1 and y = 5 are lines of symmetry. Work out the coordinates of point Q. Not drawn accurately Answer ( , )
  9. November 2019, Paper 1H, Q3 (1 mark): A is (2, 13) and B is (10, 1) Circle the midpoint of AB. (4, 6) (5, 6.5) (6, 7) (8, 12)
  10. November 2018, Paper 2H, Q2 (1 mark): P is (4, 9) and Q is (–2, 1) Circle the midpoint of PQ. (1, 5) (3, 4) (3, 5) (6, 8)
  11. June 2018, Paper 1H, Q7 (3 marks): A (0, 2) and B (6, 5) are points on the straight line ABCD. AB = BC = CD Work out the coordinates of D. Not drawn accurately Answer ( , )
  12. November 2017, Paper 1H, Q21 (2 marks): A, B and C are points on the axes as shown. The area of triangle ABC is 28 square units. Work out possible coordinates for A, B and C. Not drawn accurately A (
  13. June 2017, Paper 2H, Q3 (1 mark): A is (2, 12) and B is (8, 2) Circle the midpoint of AB. (3, 5) (4, 6) (5, 7) (6, 10)
  14. Specimen, Paper 3H, Q28 (4 marks): The diagram shows a line joining O to P. The gradient of the line is 2 The length of the line is 2645 Work out the coordinates of P. O P x Not drawn accurately

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