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Transformation geometry: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 5.2 Transformation geometry, 2019–2025, with its mark scheme and examiner’s report.

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2,567 questions

  1. Q20

    June 2025 (R) · Paper 2 Foundation

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  2. Q5

    June 2025 (R) · Paper 2 Higher

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  3. Q19

    June 2025 · Paper 2 Foundation

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  4. Q2

    June 2025 · Paper 2 Higher

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  5. Q17

    November 2024 · Paper 1 Foundation

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  6. Q15

    November 2024 · Paper 2 Foundation

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  7. Q18

    June 2024 (R) · Paper 2 Foundation

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  8. Q2

    June 2024 (R) · Paper 2 Higher

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  9. Q2

    June 2024 · Paper 2 Foundation

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  10. Q14

    June 2024 · Paper 2 Foundation

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  11. Q19

    November 2023 · Paper 2 Foundation

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  12. Q3

    November 2023 · Paper 2 Higher

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  13. Q26

    June 2023 (R) · Paper 1 Foundation

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  14. Q10

    June 2023 (R) · Paper 1 Higher

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  15. Q19

    June 2023 · Paper 1 Foundation

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  16. Q4

    June 2023 · Paper 1 Higher

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  17. Q16

    January 2023 (R) · Paper 2 Foundation

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  18. Q2

    January 2023 (R) · Paper 2 Higher

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  19. Q14

    January 2023 · Paper 1 Foundation

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  20. Q18

    June 2022 (R) · Paper 2 Foundation

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All 43 questions on Transformation geometry, as a list
  1. June 2025 (R), Paper 2 Foundation, Q20 (4 marks): y 10 9 8 7 6 5 4 3 A 2 1 O x −3 −2 −1 1 2 3 4 5 6 7 8 9 10 −1 −2 −3 (a) On the grid above, reflect shape A in the line y = x y 10 9 8 7 6 5 4 3 B 2 1 O x −3 −2
  2. June 2025 (R), Paper 2 Higher, Q5 (4 marks): y 10 9 8 7 6 5 4 3 A 2 1 O x −3 −2 −1 1 2 3 4 5 6 7 8 9 10 −1 −2 −3 (a) On the grid above, reflect shape A in the line y = x y 10 9 8 7 6 5 4 3 B 2 1 O x −3 −2
  3. June 2025, Paper 2 Foundation, Q19 (5 marks): y 12 10 8 6 4 A 2 x O 2 4 6 8 10 12 14 (a) On the grid, enlarge shape A with scale factor 3 and centre (0, 1) y 9 8 7 Q 6 5 4 P 3 2 1 x O 1 2 3 4 5 6 7 8 9 10 (
  4. June 2025, Paper 2 Higher, Q2 (5 marks): y 12 10 8 6 4 A 2 x O 2 4 6 8 10 12 14 (a) On the grid, enlarge shape A with scale factor 3 and centre (0, 1) y 9 8 7 Q 6 5 4 P 3 2 1 x O 1 2 3 4 5 6 7 8 9 10 (
  5. November 2024, Paper 1 Foundation, Q17 (2 marks): 6 5 4 3 2 1 O x −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 −1 P −2 −3 −4 −5 −6 Reflect shape P in the line x = 1
  6. November 2024, Paper 2 Foundation, Q15 (3 marks): y 10 9 8 7 6 B 5 4 3 2 A 1 O x 1 2 3 4 5 6 7 8 9 10 Describe fully the single transformation that maps shape A onto shape B
  7. June 2024 (R), Paper 2 Foundation, Q18 (4 marks): y 8 6 4 2 A O x −8 −6 −4 −2 2 4 6 8 −2 B −4 −6 −8 (a) Describe fully the single transformation that maps shape A onto shape B (b) On the grid above, rotate shap
  8. June 2024 (R), Paper 2 Higher, Q2 (4 marks): y 8 6 4 2 A O x −8 −6 −4 −2 2 4 6 8 −2 B −4 −6 −8 (a) Describe fully the single transformation that maps shape A onto shape B (b) On the grid above, rotate shap
  9. June 2024, Paper 2 Foundation, Q2 (6 marks): J (a) On the grid, draw a shape that is congruent to shape J (b) On the grid, draw a shape that is an enlargement of shape J with scale factor 2 The diagram sho
  10. June 2024, Paper 2 Foundation, Q14 (4 marks): y 6 5 4 3 2 A 1 x –6 –5 –4 –3 –2 –1 O 1 2 3 4 5 6 –1 B –2 –3 –4 –5 –6 (a) Describe fully the single transformation that maps shape A onto shape B (b) On the gri
  11. November 2023, Paper 2 Foundation, Q19 (5 marks): y 8 7 6 T 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 (a) Reflect shape T in the line y = x y 9 8 7 B 6 5 4 A 3 2 1 O 1 2 3 4 5 6 7 8 x (b) Describe fully the single transfor
  12. November 2023, Paper 2 Higher, Q3 (5 marks): y 8 7 6 T 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 (a) Reflect shape T in the line y = x y 9 8 7 B 6 5 4 A 3 2 1 O x 1 2 3 4 5 6 7 8 (b) Describe fully the single transfor
  13. June 2023 (R), Paper 1 Foundation, Q26 (2 marks): y 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 On the grid, enlarge the shaded shape with scale factor 1 3 and centre (1, 7)
  14. June 2023 (R), Paper 1 Higher, Q10 (2 marks): y 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 On the grid, enlarge the shaded shape with scale factor 1 3 and centre (1, 7)
  15. June 2023, Paper 1 Foundation, Q19 (8 marks): The diagram shows a sketch of triangle A and triangle B on a coordinate grid. y Diagram NOT accurately drawn (6, 12) B (9, e) (2, d) (–7, 2) O x A ( f, –3) (–11
  16. June 2023, Paper 1 Higher, Q4 (8 marks): The diagram shows a sketch of triangle A and triangle B on a coordinate grid. y Diagram NOT accurately drawn (6, 12) B (9, e) (2, d) (–7, 2) O x A ( f, –3) (–11
  17. January 2023 (R), Paper 2 Foundation, Q16 (3 marks): y 6 5 4 3 2 A 1 O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 (a) On the grid, rotate triangle A 180° about (1, –1) Label the new triangle B (b) On the gr
  18. January 2023 (R), Paper 2 Higher, Q2 (3 marks): y 6 5 4 3 2 A 1 O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 (a) On the grid, rotate triangle A 180° about (1, –1) Label the new triangle B (b) On the gr
  19. January 2023, Paper 1 Foundation, Q14 (4 marks): y 6 5 4 3 2 1 O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 A –3 –4 –5 –6 (a) On the grid, rotate triangle A 90° anticlockwise about centre O y 10 9 8 C 7 6 5 4 3 B 2
  20. June 2022 (R), Paper 2 Foundation, Q18 (4 marks): y 10 8 6 B 4 2 A O 2 4 6 8 10 12 14 x (a) Describe fully the single transformation that maps triangle A onto triangle B (b) On the grid above, translate triangl
  21. June 2022 (R), Paper 2 Higher, Q1 (4 marks): y 10 8 6 B 4 2 A O 2 4 6 8 10 12 14 x (a) Describe fully the single transformation that maps triangle A onto triangle B (b) On the grid above, translate triangl
  22. June 2022, Paper 2 Foundation, Q14 (4 marks): y 6 5 4 3 A 2 1 O x −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 −1 −2 B −3 −4 −5 −6 (a) Describe fully the single transformation that maps shape A onto shape B. (b) On the gr
  23. January 2022 (R), Paper 1 Foundation, Q12 (4 marks): y 9 8 7 6 5 4 3 A B 2 1 x –7 –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 7 8 9 O –1 –2 (a) Describe fully the single transformation that maps triangle A onto triangle B (b) O
  24. January 2022, Paper 1 Foundation, Q15 (4 marks): y 5 4 3 2 X 1 O x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 (a) On the grid above, rotate shape X 90° clockwise about O y 5 4 A 3 2 B 1 O 1 2 3 4 5 6 57 58 59 10
  25. November 2021, Paper 1 Foundation, Q12 (5 marks): y 12 10 8 Q 6 4 P 2 x −6 −4 −2 O 2 4 6 8 10 −2 (a) Describe fully the single transformation that maps shape P onto shape Q. (b) On the grid, reflect shape P in
  26. June 2021, Paper 1 Foundation, Q12 (5 marks): The diagram shows a shaded shape on a grid. y 12 11 10 9 8 7 6 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 9 10 11 12 13 (a) On the grid, reflect the shape in the line with e
  27. January 2021 (R), Paper 2 Foundation, Q16 (6 marks): Here is a shape P drawn on a grid of squares. y 10 8 6 4 2 O x –10 –8 –6 –4 –2 2 4 6 8 10 12 14 –2 P –4 –6 –8 (a) On the grid, rotate shape P 180° about the poi
  28. January 2021 (R), Paper 2 Higher, Q5 (6 marks): Here is a shape P drawn on a grid of squares. y 10 8 6 4 2 O x –10 –8 –6 –4 –2 2 4 6 8 10 12 14 –2 P –4 –6 –8 (a) On the grid, rotate shape P 180° about the poi
  29. January 2021, Paper 1 Foundation, Q14 (5 marks): 8 7 6 5 4 A B 3 2 1 O x –8 –7 –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 C –6 –7 –8 (a) Describe fully the single transformation that maps shape A onto sh
  30. November 2020 (R), Paper 2 Foundation, Q13 (3 marks): y 4 3 2 A B 1 O x –7 –6 –5 –4 –3 –2 –1 1 2 3 4 –1 On the grid above, triangle A is the reflection of triangle B in the mirror line M. (a) On the grid, draw the
  31. November 2020, Paper 1 Foundation, Q13 (5 marks): y 9 8 7 6 5 4 3 2 1 O x −4 −3 −2 −1 1 2 3 4 5 6 −1 −2 −3 −4 −5 (a) On the grid, reflect the shaded triangle in the line with equation y = 2 y 5 4 B 3 2 1 O x −2
  32. January 2020 (R), Paper 1 Foundation, Q13 (5 marks): y 6 5 4 3 P 2 1 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 O x −1 −2 Q −3 −4 −5 −6 (a) Describe fully the single transformation that maps shape P onto shape Q. (b) On t
  33. January 2020, Paper 1 Foundation, Q19 (2 marks): y 11 10 9 8 7 6 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 On the grid, enlarge the shaded shape with scale factor 1 2 and centre (1, 2)
  34. January 2020, Paper 1 Higher, Q8 (2 marks): y 11 10 9 8 7 6 5 4 3 2 1 O x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 On the grid, enlarge the shaded shape with scale factor 1 2 and centre (1, 2)
  35. January 2020, Paper 2 Foundation, Q14 (2 marks): y 6 5 4 B 3 2 1 O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 A –4 –5 –6 Describe fully the single transformation that maps triangle A onto triangle B.
  36. January 2020, Paper 2 Higher, Q21 (4 marks): The diagram shows a sketch of part of the curve with equation y = f(x) y (4, 6) y = f(x) O x There is one maximum point on this curve. The coordinates of this m
  37. June 2019 (R), Paper 1 Foundation, Q14 (4 marks): y 6 4 P 2 O –4 –2 2 4 6 8 x –2 –4 (a) On the grid above, translate shape P by the vector − ⎛ 5 ⎞ ⎝⎜ ⎠⎟ 2 y 4 P 2 O x –2 2 4 –2 T –4 (b) Describe fully the singl
  38. June 2019, Paper 1 Foundation, Q11 (4 marks): y 12 11 10 9 8 7 6 5 4 3 2 1 O 1 2 3 4 5 6 7 8 9 10 11 12 x (a) On the grid above, rotate the triangle 180° about (7, 6) y 6 5 Q P 4 3 2 1 O x í í í í í í
  39. June 2019, Paper 1 Higher, Q22 (6 marks): The graph of y = sinx° for 0 - x - 360 is drawn on the grid. y 3 2 1 O x 60 120 180 240 300 360 í í í (a) On the grid, draw the graph of y = 2sin(x + 30)° fo
  40. January 2019 (R), Paper 1 Foundation, Q11 (5 marks): Here is a triangle S drawn on a grid of squares. y 8 7 6 S 5 4 3 2 1 O x –2 –1 1 2 3 4 5 6 7 8 –1 –2 (a) On the grid, reflect triangle S in the line with equati
  41. January 2019, Paper 1 Foundation, Q16 (6 marks): y 10 A 8 6 B 4 2 O –4 –2 2 4 6 8 x (a) Describe fully the single transformation that maps triangle A onto triangle B. 2   (b) On the grid, translate triangle
  42. January 2019, Paper 1 Higher, Q2 (6 marks): y 10 A 8 6 B 4 2 O –4 –2 2 4 6 8 x (a) Describe fully the single transformation that maps triangle A onto triangle B. 2   (b) On the grid, translate triangle
  43. January 2019, Paper 2 Foundation, Q7 (2 marks): y 6 5 4 3 2 1 O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 Reflect the shaded triangle in the line y = 1

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