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Transformations
Question Paper
Course
AQA GCSE Maths
Section
4. Geometry & Measures
Topic
Transformations
Difficulty
Medium
Time allowed:
60
Score:
/47
Percentage:
/100
Page 1 of 24
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Question 1a
Rotate triangle A 90° clockwise, centre O .
[2 marks]
Page 2 of 24
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Question 1b
Enlarge triangle B by scale factor 3, centre (1, 2).
[3 marks]
Page 3 of 24
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Question 2
Describe fully the single transformation that maps triangle A onto triangle B.
[3 marks]
Page 4 of 24
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Question 3a
Reflect shape P in the line x = − 1 .
[2 marks]
Page 5 of 24
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Question 3b
Rotate shape P 90° anticlockwise about (0, 1).
[2 marks]
Page 6 of 24
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Question 4a
Rotate triangle A 90° anticlockwise with centre O .
[2 marks]
Page 7 of 24
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Question 4b
Describe fully the single transformation that maps triangle B onto triangle C.
[2 marks]
Page 8 of 24
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Question 5
Describe fully the single transformation that maps triangle A onto triangle B.
[3 marks]
Page 9 of 24
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Question 6a
⎛ −3
⎝ 2
Translate shape A by the vector ⎜⎜⎜
⎞⎟
⎟⎟ .
⎠
[1 mark]
Page 10 of 24
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Question 6b
Describe fully the single transformation that maps shape Q onto shape R.
[3 marks]
Page 11 of 24
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Question 7a
⎛ 5 ⎞⎟
⎟⎟ .
⎝ −2 ⎠
Translate shape P by the vector ⎜⎜⎜
[2 marks]
Page 12 of 24
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Question 7b
Describe fully the single transformation that maps shape A onto shape B.
[3 marks]
Page 13 of 24
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Question 8a
On the grid, rotate shape S by 90° anticlockwise about the origin.
[2 marks]
Page 14 of 24
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Question 8b
Describe fully the single transformation that maps shape P onto shape Q.
[3 marks]
Page 15 of 24
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Question 9a
On the grid, rotate shape A 180° about the point (1, 1).
[2 marks]
Page 16 of 24
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Question 9b
On the grid, enlarge triangle B by scale factor 3, centre (0, 0).
[2 marks]
Page 17 of 24
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Question 10
Describe fully the single transformation that maps shape P onto shape Q.
[3 marks]
Page 18 of 24
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Question 11
Triangles J and L are drawn on the grid below.
What is the scale factor of the enlargement that maps triangle L onto triangle J?
[1 mark]
Page 19 of 24
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Question 12
Page 20 of 24
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⎛c
⎝d
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation ⎜⎜⎜
Find the value of c and the value of d .
⎞⎟
⎟⎟
⎠
[3 marks]
Page 21 of 24
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Question 13
OABC is enlarged, scale factor 2, centre (0, 0)
Circle the number of invariant points on the perimeter of the square.
0
1
2
4
[1 mark]
Page 22 of 24
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Question 14
OABC is reflected in the line y = x
Circle the number of invariant points on the perimeter of the square.
0
1
2
4
[1 mark]
Page 23 of 24
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Question 15
ABCD is a quadrilateral.
The quadrilateral is reflected in the line x = 4
Which vertices are invariant?
Circle your answer.
A and D
B and C
C and D
B and D
[1 mark]
Page 24 of 24
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