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Edexcel IGCSE Maths

Topic questions Geometry and measures Transformations

Transformations

31 questions · 130 marks · about 2.5 hours

Transformations questions

Edexcel 4MA1 Transformations 31 questions

Paper 2F June 2025 Foundation tier, Question 19, also on the Higher paper 5 marks

Figure for question 19
(a)

On the grid, enlarge shape A with scale factor 3 and centre (0, 1)

Figure for question 19
[2]
Reveal mark scheme Mark scheme for question 19(a)
(b)

Describe fully the single transformation that maps triangle P onto triangle Q

[3]
Reveal mark scheme Mark scheme for question 19(b)

Paper 2F June 2025 (R) Foundation tier, Question 20 4 marks

Figure for question 20
(a)

On the grid above, reflect shape A in the line y = x

Figure for question 20
[2]
Reveal mark scheme Mark scheme for question 20(a)
(b)

On the grid above, enlarge shape B by scale factor 2 with centre (1, 1)

[2]
Reveal mark scheme Mark scheme for question 20(b)

Paper 2H June 2025 Higher tier, Question 2, also on the Foundation paper 5 marks

Figure for question 2
(a)

On the grid, enlarge shape A with scale factor 3 and centre (0, 1)

Figure for question 2
[2]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Describe fully the single transformation that maps triangle P onto triangle Q

[3]
Reveal mark scheme Mark scheme for question 2(b)

Paper 2F June 2024 (R) Foundation tier, Question 18 4 marks

Figure for question 18
(a)

Describe fully the single transformation that maps shape A onto shape B

[2]
Reveal mark scheme Mark scheme for question 18(a)
(b)

On the grid above, rotate shape A 180° about (−1, 0) Label your shape C

[2]
Reveal mark scheme Mark scheme for question 18(b)

Paper 2F November 2023 Foundation tier, Question 19, also on the Higher paper 5 marks

Figure for question 19
Question 19, shown as an image
(a)

Reflect shape T in the line y = x

Figure for question 19
Question 19, shown as an image
[2]
Reveal mark scheme Mark scheme for question 19(a)
(b)

Describe fully the single transformation that maps triangle A onto triangle B

[3]
Reveal mark scheme Mark scheme for question 19(b)

Paper 2H November 2023 Higher tier, Question 3, also on the Foundation paper 5 marks

Figure for question 3
Question 3, shown as an image
(a)

Reflect shape T in the line y = x

Figure for question 3
Question 3, shown as an image
[2]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Describe fully the single transformation that maps triangle A onto triangle B

[3]
Reveal mark scheme Mark scheme for question 3(b)

Paper 1F June 2023 Foundation tier, Question 19, also on the Higher paper 8 marks

The diagram shows a sketch of triangle A and triangle B on a coordinate grid.

Figure for question 19
(a)

Given that triangle A has been translated to give triangle B, work out the value of d, the value of e and the value of f

The diagram shows shape P and shape Q drawn on a grid.

Figure for question 19
[3]
Reveal mark scheme Mark scheme for question 19(a)
(b)

Describe fully the single transformation that maps shape P onto shape Q

[3]
Reveal mark scheme Mark scheme for question 19(b)
(c)

On the grid above, rotate shape P 90° clockwise about (3, 5) Label your shape R

[2]
Reveal mark scheme Mark scheme for question 19(c)

Paper 1F June 2023 (R) Foundation tier, Question 26, also on the Higher paper 2 marks

Figure for question 26
Question 26, shown as an image

On the grid, enlarge the shaded shape with scale factor fraction and centre (1, 7)

[2]
Reveal mark scheme Mark scheme for question 26

Paper 1H June 2023 Higher tier, Question 4, also on the Foundation paper 8 marks

The diagram shows a sketch of triangle A and triangle B on a coordinate grid.

Figure for question 4
(a)

Given that triangle A has been translated to give triangle B, work out the value of d, the value of e and the value of f

The diagram shows shape P and shape Q drawn on a grid.

Figure for question 4
[3]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Describe fully the single transformation that maps shape P onto shape Q

[3]
Reveal mark scheme Mark scheme for question 4(b)
(c)

On the grid above, rotate shape P 90° clockwise about (3, 5) Label your shape R

[2]
Reveal mark scheme Mark scheme for question 4(c)

Paper 1H June 2023 (R) Higher tier, Question 10, also on the Foundation paper 2 marks

Figure for question 10
Question 10, shown as an image

On the grid, enlarge the shaded shape with scale factor fraction and centre (1, 7)

[2]
Reveal mark scheme Mark scheme for question 10

Paper 1F January 2023 Foundation tier, Question 14 4 marks

Figure for question 14
(a)

On the grid, rotate triangle A 90° anticlockwise about centre O

Figure for question 14
[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Describe fully the single transformation that maps triangle B onto triangle C

[2]
Reveal mark scheme Mark scheme for question 14(b)

Paper 2F January 2023 (R) Foundation tier, Question 16, also on the Higher paper 3 marks

Figure for question 16
(a)

On the grid, rotate triangle A 180° about (1, –1) Label the new triangle B

[2]
Reveal mark scheme Mark scheme for question 16(a)
(b)
Question 16, shown as an image

Label the new triangle C

[1]
Reveal mark scheme Mark scheme for question 16(b)

Paper 2H January 2023 (R) Higher tier, Question 2, also on the Foundation paper 3 marks

Figure for question 2
(a)

On the grid, rotate triangle A 180° about (1, –1) Label the new triangle B

[2]
Reveal mark scheme Mark scheme for question 2(a)
(b)
Question 2, shown as an image

Label the new triangle C

[1]
Reveal mark scheme Mark scheme for question 2(b)

Paper 2F June 2022 (R) Foundation tier, Question 18, also on the Higher paper 4 marks

Figure for question 18
(a)

Describe fully the single transformation that maps triangle A onto triangle B

[3]
Reveal mark scheme Mark scheme for question 18(a)
(b)
Question 18, shown as an image

Label your triangle C

[1]
Reveal mark scheme Mark scheme for question 18(b)

Paper 2H June 2022 (R) Higher tier, Question 1, also on the Foundation paper 4 marks

Figure for question 1
(a)

Describe fully the single transformation that maps triangle A onto triangle B

[3]
Reveal mark scheme Mark scheme for question 1(a)
(b)
Question 1, shown as an image

Label your triangle C

[1]
Reveal mark scheme Mark scheme for question 1(b)

Paper 1F January 2022 (R) Foundation tier, Question 12 4 marks

Figure for question 12
(a)

Describe fully the single transformation that maps triangle A onto triangle B

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

On the grid above, enlarge triangle A with scale factor 2 and centre O Label your triangle C

[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 1F January 2022 Foundation tier, Question 15 4 marks

Figure for question 15
(a)

On the grid above, rotate shape X 90maths symbol clockwise about O

Figure for question 15
[2]
Reveal mark scheme Mark scheme for question 15(a)
(b)

Describe fully the single transformation that maps shape A onto shape B

[2]
Reveal mark scheme Mark scheme for question 15(b)

Paper 1F November 2021 Foundation tier, Question 12 5 marks

Figure for question 12
Question 12, shown as an image
Question 12, shown as an image
(a)

Describe fully the single transformation that maps shape P onto shape Q.

[3]
Reveal mark scheme Mark scheme for question 12(a)
(b)

On the grid, reflect shape P in the line with equation x = 5 Label your shape R.

[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 1H November 2021 Higher tier, Question 14 8 marks

Also involves Similarity, lengths, areas and volumes

ABCDEF and GHIJKL are regular hexagons each with centre O.

Figure for question 14

GHIJKL is an enlargement of ABCDEF, with centre O and scale factor 2 OAmaths symbol = a OBmaths symbol = b

(a)

Write the following vectors, in terms of a and b. Simplify your answers.

(a)(i)

ABmaths symbol

[1]
(a)(ii)

maths symbolKI

[2]
Reveal mark scheme Mark scheme for question 14(a)(ii)
(a)(iii)

LDmaths symbol

The triangle OAB has an area of 5 cm2

[2]
Reveal mark scheme Mark scheme for question 14(a)(iii)
(b)

Calculate the area of the shaded region.

[3]
Reveal mark scheme Mark scheme for question 14(b)

Paper 1F January 2021 Foundation tier, Question 14 5 marks

Question 14, shown as an image
Figure for question 14
Question 14, shown as an image
Figure for question 14
(a)

Describe fully the single transformation that maps shape A onto shape B.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Describe fully the single transformation that maps shape B onto shape C.

[3]
Reveal mark scheme Mark scheme for question 14(b)

Paper 2H January 2021 (R) Higher tier, Question 5 6 marks

Here is a shape P drawn on a grid of squares.

Figure for question 5
(a)

On the grid, rotate shape P 180maths symbol about the point (–3, 2) Label the new shape Q.

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)
Question 5, shown as an image
[1]
(c)

Here are triangle T and triangle U drawn on a grid of squares.

Figure for question 5
Question 5, shown as an image

Describe fully the single transformation that maps triangle T onto triangle U.

[3]

Paper 1F November 2020 Foundation tier, Question 13 5 marks

Figure for question 13
(a)

On the grid, reflect the shaded triangle in the line with equation y = 2

Figure for question 13
[2]
Reveal mark scheme Mark scheme for question 13(a)
(b)

Describe fully the single transformation that maps triangle A onto triangle B.

[3]
Reveal mark scheme Mark scheme for question 13(b)

Paper 2F November 2020 (R) Foundation tier, Question 13 3 marks

Figure for question 13

On the grid above, triangle A is the reflection of triangle B in the mirror line M.

(a)

On the grid, draw the mirror line M. Label the line M.

Figure for question 13
[1]
Reveal mark scheme Mark scheme for question 13(a)
(b)

On the grid above, rotate the shaded shape C 90maths symbol anticlockwise about the point with coordinates (0, 0)

[2]
Reveal mark scheme Mark scheme for question 13(b)

Paper 1F January 2020 (R) Foundation tier, Question 13 5 marks

Figure for question 13
(a)

Describe fully the single transformation that maps shape P onto shape Q.

[3]
Reveal mark scheme Mark scheme for question 13(a)
(b)

On the grid, reflect shape P in the line x= −1 Label the new shape R.

[2]
Reveal mark scheme Mark scheme for question 13(b)

Paper 1F January 2020 Foundation tier, Question 19, also on the Higher paper 2 marks

Figure for question 19
Question 19, shown as an image

On the grid, enlarge the shaded shape with scale factor fraction and centre (1, 2)

[2]
Reveal mark scheme Mark scheme for question 19

Paper 1H January 2020 Higher tier, Question 8, also on the Foundation paper 2 marks

Figure for question 8
Question 8, shown as an image

On the grid, enlarge the shaded shape with scale factor fraction and centre (1, 2)

[2]
Reveal mark scheme Mark scheme for question 8

Paper 2F January 2020 Foundation tier, Question 14 2 marks

Figure for question 14

Describe fully the single transformation that maps triangle A onto triangle B.

[2]
Reveal mark scheme Mark scheme for question 14

Paper 1F June 2019 Foundation tier, Question 11 4 marks

Figure for question 11
(a)

On the grid above, rotate the triangle 180° about (7, 6)

Figure for question 11
[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Describe fully the single transformation that maps triangle P onto triangle Q.

[2]
Reveal mark scheme Mark scheme for question 11(b)

Paper 1F June 2018 Foundation tier, Question 12 4 marks

Figure for question 12
(a)

Describe fully the single transformation that maps triangle A onto triangle B.

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)
Question 12, shown as an image

Label your triangle C.

[1]
(c)

Describe fully the single transformation that maps triangle C onto triangle B.

[1]
Reveal mark scheme Mark scheme for question 12(c)

Paper 1H June 2018 (R) Higher tier, Question 3 3 marks

Question 3, shown as an image
Figure for question 3
Question 3, shown as an image
(a)

Reflect triangle S in the line y = x Label the new triangle R.

[2]
Reveal mark scheme Mark scheme for question 3(a)
(b)
Question 3, shown as an image

Label the new triangle T.

[1]
Reveal mark scheme Mark scheme for question 3(b)

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