Transformations (Cambridge O Level Maths)

Exam Questions

4 hours58 questions
1a
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2 marks

cie-igcse-2020-oct-nov-p4-tz1-q1a

Draw the image of shape A after a translation by the vector open parentheses space space space space 8
minus 6 close parentheses.

1b
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2 marks

Draw the image of shape A after a reflection in the line y space equals negative 1.

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2a
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2 marks

cie-igcse-2020-may-june-p4-tz1-q4

Draw the image of triangle T after a reflection in the line y equals negative 1.

2b
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2 marks

Draw the image of triangle T after a rotation through 90° clockwise about (0, 0).

2c
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2 marks

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

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3
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2 marks

A line joins A open parentheses 1 comma space 3 close parentheses to B open parentheses 5 comma space 8 close parentheses
The line A B is transformed to the line P Q.

Find the co-ordinates of P and the co-ordinates of Q after A B is translated by the vector  open parentheses table row 5 row cell negative 2 end cell end table close parentheses.

 

P left parenthesis........................ , ........................right parenthesis     

    
Q left parenthesis........................ , ........................right parenthesis    

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4
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2 marks

cie-igcse-2019-march-p4-q2a

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

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5
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3 marks

cie-igcse-2018-oct-nov-p4-tz2-q3

On the grid, draw the image of

i)
triangle A after a reflection in the x-axis,
 
 

[1]

ii)table row blank row blank end table

triangle A after a translation by the vector  open parentheses table row 7 row cell negative 5 end cell end table close parentheses,
   

[2]

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6
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2 marks

cie-igcse-2018-may-jun-1-4

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

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7
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4 marks

cie-igcse-2018-may-jun-2-p4-q3

i)
Draw the image of triangle A after a reflection in the line x equals 2.

[2]

ii)table row blank row blank end table
Draw the image of triangle A after a translation by the vector open parentheses table row cell negative 2 end cell row 4 end table close parentheses.

[2]

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1a
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2 marks

cie-igcse-2019-oct-nov-p2-tz1-q21

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

1b
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2 marks

On the grid, reflect shape T in the line y equals x.

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2a
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2 marks

cie-igcse-2020-oct-nov-p2-tz2-q2a

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

2b
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4 marks
i)
Reflect triangle T in the line x space equals space 1.
 
[2]
ii)
Rotate triangle T  through 90° anticlockwise about (6, 0).
 
[2]

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3
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4 marks

cie-igcse-2020-oct-nov-p4-tz3-q2a

On the grid, draw the image of

i)
triangle A after a rotation of 90° anticlockwise about (0, 0),
 
[2]
ii)begin mathsize 14px style 1 over 1 end style
triangle A after a translation by the vector open parentheses 3
minus 5 close parentheses.
 
[2]

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4a
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2 marks

cie-igcse-2020-may-jun-p4-tz3-q2

Draw the image of triangle A after a reflection in the line space y equals negative x.

4b
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2 marks

Draw the image of triangle A after a translation by the vector open parentheses table row cell negative 2 end cell row cell negative 9 end cell end table close parentheses.

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5a
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4 marks

cie-igcse-spec-p4-q4-diagram

i)
Draw the reflection of triangle T in the line x space equals space 0

[2]

ii)
Draw the rotation of triangle T aboutspace left parenthesis – 2 comma space – 1 right parenthesis spacethrough 90° clockwise. 

[2]
5b
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2 marks

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

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6
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4 marks

cie-igcse-2019-oct-nov-p4-tz3-q7

On the grid, draw the image of

i)table row blank row blank end table

shape A after a translation by the vector open parentheses table row cell negative 3 end cell row 4 end table close parentheses,
 

[2]

ii)

shape A after a rotation through 180° about (0, 0),
 

[2]

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7
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2 marks

cie-igcse-2019-may-jun-1-q1

Reflect shape T in the line y equals x.

 

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8
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4 marks

cie-igcse-2019-may-jun-p4-tz3-q3a

On the grid, draw the image of

i)table row blank row blank end table
triangle A after a translation by the vector open parentheses table row cell negative 3 end cell row 2 end table close parentheses
 
[2]
ii)
triangle A after a reflection in the line y equals x.
 
[2]

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9a
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2 marks

cie-igcse-2018-oct-nov-p4-tz1-q2

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

9b
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2 marks

Draw the reflection of flag A in the line y equals negative 1.

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10
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4 marks

cie-igcse-2018-oct-nov-p4-tz3-q1a

i)table row blank row blank end table
Translate triangle T by the vector open parentheses table row cell negative 2 end cell row cell negative 5 end cell end table close parentheses.
 
 

[2]

ii)
Rotate triangle T through 90° anticlockwise about (0, 0).
 
 

[2]

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11
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3 marks

cie-igcse-2020-oct-nov-p4-tz3-q2a

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

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12
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2 marks

cie-igcse-2018-oct-nov-p4-tz3-q1a

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

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13a
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2 marks

q16-june-2021-4024-11-cambridge-o-level-maths-d

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

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

13b
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3 marks

Describe fully the single transformation that maps triangle Aonto triangle C.

13c
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2 marks

Triangle D is the image of triangle A after an enlargement, scale factor 2, with centre of enlargement (1, 2).

Draw triangle D.

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1
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3 marks

q15-paper2-spec2025-cie-igcse-further-maths

Describe fully the single transformation that maps triangle T onto trianglespace A.

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2
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6 marks

cie-igcse-2020-oct-nov-p4-tz1-q1a

Describe fully the single transformation that maps

i)

shape A onto shape B,

[3]

ii)

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


[3]

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3
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4 marks

A line joins A open parentheses 1 comma space 3 close parentheses to B open parentheses 5 comma space 8 close parentheses
The line A B is transformed to the line P Q.

Find the co-ordinates of P and the co-ordinates of Q after A B is transformed by

i)
a rotation through 90° anticlockwise about the origin,

  

P left parenthesis........................ , ........................right parenthesis     

    
Q left parenthesis........................ , ........................right parenthesis [2]

ii)
a reflection in the line x equals 2,

  

P left parenthesis........................ , ........................right parenthesis     

    
Q left parenthesis........................ , ........................right parenthesis [2]

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4a
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2 marks

cie-igcse-2019-oct-nov-p4-tz3-q7

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

4b
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2 marks

On the grid, draw the image of shape A after an enlargement, scale factor 2, centre (-7, 0).

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5
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7 marks

cie-igcse-2019-may-jun-1-q1

i)   Translate shape T by the vector open parentheses table row cell negative 1 end cell row 6 end table close parentheses. Label the image A.

 [2]

ii)   Rotate shape T about the point left parenthesis 5 comma 3 right parenthesis through 180°. Label the image B.

 [2]

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

[3]

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6
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3 marks

cie-igcse-2019-may-jun-p4-tz3-q3a

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

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7
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5 marks

cie-igcse-2019-march-p4-q2a

Describe fully the single transformation that maps

i)
triangle A onto triangle B,
 

[2]

ii)
triangle A onto triangle C.
 

[3]

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8
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3 marks

cie-igcse-2018-oct-nov-p4-tz1-q2

Describe fully the single transformation that maps flag A onto flag D

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9
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3 marks

cie-igcse-2018-oct-nov-p4-tz2-q3

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

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10a
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3 marks

cie-igcse-2018-may-jun-1-4

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

10b
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2 marks

On the grid, draw the image of triangle A after an enlargement by scale factor 2, centre (7, 3).

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11
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3 marks

cie-igcse-2018-may-jun-2-p4-q3

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

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12a
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3 marks

cie-igcse-2020-march-p2-tz2-q11

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

12b
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2 marks

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

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13
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3 marks

cie-igcse-2019-may-jun-p2-tz2-q25

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

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1
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2 marks

cie-igcse-2020-oct-nov-p2-tz2-q2a

Enlarge triangle T  by a scale factor of -2, centre (1, 0).

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2
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6 marks

cie-igcse-2020-may-jun-p4-tz3-q2

Describe fully the single transformation that maps

i)

triangle A onto triangle B,
 

[3]

ii)

triangle A onto triangle C.
 

[3]

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3
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3 marks

A line joins A open parentheses 1 comma space 3 close parentheses to B open parentheses 5 comma space 8 close parentheses
The line A B is transformed to the line P Q.

Describe fully the single transformation that maps the line A B onto the line P Q where P is the point left parenthesis negative 2 comma space minus 6 right parenthesis and Q is the point left parenthesis negative 10 comma space minus 16 right parenthesis.

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4
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2 marks

cie-igcse-2019-march-p4-q2a

On the grid, draw the image of triangle A after an enlargement, scale factor negative 1 half, centre left parenthesis 3 comma space 0 right parenthesis,

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5
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3 marks

cie-igcse-2018-oct-nov-p4-tz1-q2

Describe fully the single transformation that maps flag A onto flag C

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6
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2 marks

cie-igcse-2018-oct-nov-p4-tz3-q1a

Enlarge triangle T by scale factor negative 1 half with centre (0, 0).

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7
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3 marks

cie-igcse-2018-may-jun-1-4

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

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8
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3 marks

cie-igcse-2020-mary-jun-p2-tz2-q18

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

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9
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3 marks

cie-igcse-2020-march-p2-tz2-q11

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

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10
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3 marks

cie-igcse-2019-may-jun-p2-tz2-q25

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

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