Syllabus Edition

First teaching 2021

Last exams 2024

|

Transformations (CIE IGCSE Maths: Core)

Exam Questions

3 hours26 questions
1
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2 marks

Reflect this shape in the line A B.

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

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2
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2 marks

Shape A is shown on the grid.

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

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

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3
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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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4
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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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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

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6a
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5 marks

q4-058031-mayjune2018-cie-igcse-maths-core

The diagram shows a quadrilateral P Q R S which is made from four congruent triangles A, B, C and D.

Describe fully the single transformation that maps

i)
triangle A onto triangle B,

[2]

ii)
triangle A onto triangle C.
[3]
6b
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2 marks

On the grid, draw the image of triangle D after a translation by the vector open parentheses table row 1 row cell negative 2 end cell end table close parentheses.

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7
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6 marks

q6b-058031-octnov2018-cie-igcse-maths-core

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

[2]

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

[2]

iii)
On the grid, draw the image of triangle A after a rotation through 180 degree about left parenthesis 0 comma space 0 right parenthesis.

[2]

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1a
Sme Calculator
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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2 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)
Write down the co-ordinates of point P.
[1]
ii)
Write down the column vectorspace stack P Q. with rightwards arrow on top.
stack P Q with rightwards arrow on top equals open parentheses table row blank blank row blank blank end table close parentheses[1]
2b
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7 marks
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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3
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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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4a
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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]
4b
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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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5a
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3 marks

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

q4-058032-octnov2018-cie-igcse-maths-core

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

5b
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3 marks

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

5c
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2 marks

Translate triangle A by the vector open parentheses table row 2 row 5 end table close parentheses.

5d
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2 marks

Reflect triangle A in the line x space equals space 3.

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6a
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6 marks

Shapes A comma space B and C are shown on the 1cm2 grid.

q2a-058033-octnov2018-cie-igcse-maths-core

Describe fully the single transformation that maps

i)
shape A onto shape B,

[3]

ii)
shape A onto shape C.
[3]
6b
Sme Calculator
4 marks

On the grid,

i)
translate shape A by the vector open parentheses table row 8 row cell negative 4 end cell end table close parentheses comma

[2]

ii)
reflect shape A in the line x space equals space 2.

[2]

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7a
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3 marks

The diagram shows three triangles A comma space B and C.

q7-058033-mayjune2018-cie-igcse-maths-core

Describe fully the single transformation that maps triangle A onto 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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4 marks

Draw the image of

i)
triangle A after a translation by the vector open parentheses table row cell negative 6 end cell row 5 end table close parentheses,

[2]

ii)
triangle A after a reflection in the line y space equals negative 3.
[2]

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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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9a
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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]
9b
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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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10a
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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]
10b
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2 marks

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

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11a
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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.

11b
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3 marks

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

11c
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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

11d
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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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1a
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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.
[2]
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
Sme Calculator
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
Sme Calculator
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 begin inline style 1 half end style , 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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3 marks

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

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

4b
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3 marks

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

4c
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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.

4d
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2 marks

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

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5a
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3 marks

q2-058032-mayjune2018-cie-igcse-maths-core

Describe fully the single transformation that maps the shaded quadrilateral onto quadrilateral A.

5b
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3 marks

Complete this statement with a fraction in its simplest form.

The area of quadrilateral A is .......................... of the area of the shaded quadrilateral.

5c
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6 marks

On the grid, draw the image of

i)
shape A after a translation by the vector open parentheses table row cell negative 4 end cell row 7 end table close parentheses comma
[2]

ii)
shape A after a rotation of 180° about the origin,

[2]

iii)
shape A after a reflection in the line x space equals space 2.
[2]

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6a
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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]
6b
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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7a
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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]
7b
Sme Calculator
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]
7c
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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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8a
Sme Calculator
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]

8b
Sme Calculator
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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