Syllabus Edition

First teaching 2023

First exams 2025

|

Transformations (CIE IGCSE Maths: Core)

Topic Questions

1
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2 marks

Reflect the shape in line L.

qp7b-0580-13-paper-1-may-2020-cie-igcse-maths

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2
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2 marks

Reflect the below shape in the line A B.

q9-058012-march2019-cie-igcse-maths-core

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3
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2 marks

q17-058012-march2019-cie-igcse-maths-core

Draw the enlargement of the triangle by scale factor 3, centre X.

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4
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2 marks

Shape A is shown on the grid.

q10-058011-octnov2018-cie-igcse-maths-core

[2]

On the grid, enlarge shape A by scale factor 3.

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5
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2 marks

Enlarge the rectangle using a scale factor of 3 and centre of enlargement O.

q16-058011-mayjune2018-cie-igcse-maths-core

[2]

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1a
Sme Calculator
7 marks

qp7-0580-32-paper-3-nov-2020-cie-igcse-maths

Describe fully the single transformation that maps

i)
triangle A onto triangle B,
[3]
ii)
triangle A onto triangle C,
[2]
iii)
triangle space A onto triangle D.
1b
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2 marks

On the grid, enlarge triangle A by scale factor 0.5, centre (4, 0).

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2
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10 marks

qp6a-0580-33-paper-3-nov-2020-cie-igcse-maths-1

On the grid, draw the image of

ia)
triangle A after a translation by the vector open parentheses table row 3 row cell negative 7 end cell end table close parentheses,

[2]
ib)
triangle space A spaceafter a reflection in the line x = 3.
[2]
ii)
Describe fully the single transformation that maps triangle A onto triangle B.
[3]
iii)
Describe fully the single transformation that maps triangle A onto triangle C.
[3]

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3
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7 marks

qp6a-0580-32-paper-3-march-2020-cie-igcse-maths

On the grid, draw the image of

ia)

shape A after an enlargement with scale factor 1 half , centre ( 3 , -5 )

[2]

ib)
shape B after a reflection in the line space y space equals negative 3.
[2]
ii)
Describe fully the single transformation that maps triangle C onto triangle D.
[3]

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4a
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6 marks

Triangles A comma space B and C are shown on the grid.

qp5-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

Describe fully the single transformation that maps

i)
triangle A onto triangle B,
[3]
ii)
trianglespace A space onto triangle C.
[3]
4b
Sme Calculator
4 marks

On the grid,

i)
translate triangle space A spaceby the vector open parentheses table row 6 row cell negative 2 end cell end table close parentheses,
[2]
ii)
reflect triangle A in the line space y space= 1.
[2]

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5a
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3 marks

q7-058031-mayjune2019-cie-igcse-maths-core

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

5b
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3 marks

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

5c
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3 marks

On the grid, draw the image of shape A after a translation by the vector open parentheses table row 3 row 1 end table close parentheses.

5d
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2 marks

On the grid, draw the image of shapespace B space after a reflection in the line y equals 1.

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6a
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2 marks

The diagram shows four shapes space A comma space B comma space C spaceand D and a point P on a 1cm2 grid.

q5-058032-mayjune2019-cie-igcse-maths-core-1

Find

i)
the perimeter of shape A,
............................................... cm [1]

ii)
the area of shape A.
..............................................cm2 [1]
6b
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6 marks
i)
Write down the co-ordinates of point P.

[1]

Find the co-ordinates of the image of point P when

iia)
P is reflected in the y-axis,
[1]
iib)
P is reflected in the line y space equals space 6.
[2]
iii)
Find the vector that translates point P to the point ( 49, -12).
[2]
6c
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6 marks

Describe fully the single transformation that maps

i)
shape A onto shape B,
[3]
ii)
shape C onto shape D.
[3]

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7a
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5 marks

q2-058033-mayjune2019-cie-igcse-maths-core

Describe fully the single transformation that maps the shaded quadrilateral onto

i)
quadrilateral A,

[2]

ii)
quadrilateral B.

[3]

7b
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4 marks

On the grid,

i)
reflect the shaded quadrilateral in the line x space equals space 1 comma
[2]
ii)
enlarge the shaded quadrilateral by scale factor 1 half, centre left parenthesis space minus 1 comma space 0 right parenthesis.

[2]

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1a
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8 marks

q8-0580-31-paper-3-nov-2020-cie-igcse-maths

Describe fully the single transformation that maps

i)
triangle A onto triangle B,
[3]
ii)
triangle A onto triangle C,
[2]
iii)
triangle A onto triangle D.
[3]
1b
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2 marks

On the grid, draw the image of triangle A after a reflection in the line x space equals negative 2.

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2a
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6 marks

The grid shows a point E and four quadrilaterals, A comma space B comma space C and D.

qp2-0580-31-paper-3-may-2020-cie-igcse-maths

Describe fully the single transformation that maps

i)
shape A onto shape B,
[2]
ii)
shape A onto shape C,
[2]
iii)
shape A onto shape D.
[3]
2b
Sme Calculator
3 marks
i)
Write down the coordinates of the point E.

[1]

ii)
On the grid, draw the image of shape A after an enlargement by scale factor 3, centre E.
[2]

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3a
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8 marks

qp8-0580-32-paper-3-may-2020-cie-igcse-maths

Describe fully the single transformation that maps

i)
triangle A onto triangle B,
[3]
ii)
triangle A onto triangle C,
[2]
iii)
triangle space A spaceonto triangle D.
[3]
3b
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2 marks

On the grid, draw the image of triangle A after a reflection in the line space y equals negative 1.

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4
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3 marks

qp15-0580-13-paper-1-may-2020-cie-igcse-maths

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

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5a
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8 marks

qp9-0580-03-paper-3-specimen-2020-cie-igcse-maths

The diagram shows four shapes space A comma space B comma space C spaceand D.

Describe fully the single transformation that maps shape space A spaceonto

i)
shape B,
[3]
ii)
shape C,
[2]
iii)
shape D.
[3]
5b
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2 marks

On the grid, draw the image of shape A after a translation by the vector open parentheses table row cell negative 3 end cell row 2 end table close parentheses

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6
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7 marks

The diagram shows two triangles, A and B, and two points space P spaceand Q.

qp8-0580-32-paper-3-oct-nov-2019-cie-igcse-maths

i)
Describe fully the single transformation that maps triangle A onto trianglespace B.
[3]

ii)
On the grid, draw the image of triangle A after a translation by the vectoropen parentheses table row 4 row cell negative 2 end cell end table close parentheses
[2]
iii)
On the grid, draw the image of triangle space A spaceafter a rotation through 90° clockwise about (0, 0).
[2]

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7a
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2 marks

qp3-0580-33-paper-3-oct-nov-2019-cie-igcse-maths

Describe fully the single transformation that maps trianglespace A spaceonto triangle B.

7b
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3 marks

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

7c
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2 marks

On the grid, draw the image of triangle A after a translation by the vector open parentheses table row cell negative 2 end cell row cell negative 3 end cell end table close parentheses

7d
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2 marks

On the grid, draw the image of triangle A after a rotation of 180° about (2, 1).

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8a
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8 marks

q7-058032-march2018-cie-igcse-maths-core

Describe fully the single transformation that maps

i)
shape A onto shape B,

[3]

ii)
shape B onto shape C,
[2]
iii)
shape C onto shape D.
[3]
8b
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2 marks

On the grid, draw the image of shape D after a reflection in the line x space equals negative 1.

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