transformations - translation€¦ · transformations - translation question paper 1 30 minutes /25...
TRANSCRIPT
Transformations - TranslationQuestion Paper 1
30 minutes
/25
/100
Time Allowed:
Score:
Percentage:
For more awesome resources, visit us at www.savemyexams.co.uk/
1
Level GCSE
Subject Mathematics
Topic
Sub-Topic
Booklet Question Paper 1
Geometry and Measures
Transformations - Translation
9 8 7 6 5 4 3
>84% 71% 58% 45% 33% 21% 0%
Grade Boundaries:
U
<15%
O 5
5
y
x
T
TA.
(1)
−⎜⎝⎛ − ⎞
⎟⎠T
B.
(1)
(Total 2 marks)
1.
For more awesome resources, visit us at www.savemyexams.co.uk/
2
A
y
B
x
4
3
2
1
1 2 3 4–1
–2
–3
–4
–4 –3 –2 –1 O
Describe the single transformation that maps shape A onto shape B.
(Total 2 marks)
2.
For more awesome resources, visit us at www.savemyexams.co.uk/
3
(a) On the grid, reflect shape A in the line y = x.(2)
(b) Describe fully the single transformation that maps triangle B onto triangle C.
(2)
(Total 4 marks)
x
y5
4
3
2
1
1 2 3 4 5O
–1
–2
–3
–4
–5
–5 –4 –3 –2 –1
A
y = x
x
y
4
3
2
1
1 2 3 4O
–1
–2
–3 –2 –1
B
C
3.
For more awesome resources, visit us at www.savemyexams.co.uk/
4
Describe the single transformation that maps triangle A onto triangle B.
(Total 2 marks)
A
B
x
y
5
4
3
2
1
1 2 3 4 5O
–1
–2
–3
–4
–5
–4–5 –3 –2 –1
4.
For more awesome resources, visit us at www.savemyexams.co.uk/
5
(a) T ranslate shape A by the vector −3
2.
(1)
A
x
y
6
5
4
3
2
1
1 2 3 4 5 6O
–1
–2
–3
–4
–4–5–6 –3 –2 –1
7
–7–8 7 8
5.
For more awesome resources, visit us at www.savemyexams.co.uk/
6
(b) Describe fully the single transformation that maps shape Q onto shape R.
Q
x
y
6
5
4
3
2
1
1 2 3 4 5 6O
–1
–2
–3
–4
–4–5–6 –3 –2 –1
7
–7–8 7 8
R
(3)
(Total 4 marks)
For more awesome resources, visit us at www.savemyexams.co.uk/
7
(a) Translate shape P by the vector5
−2
(2)
P
x
y
6
7
8
9
5
4
3
2
1
1 2 3 4 5O
–1
–2
–3
–4–5–6–7 –3 –2 –1
6.
For more awesome resources, visit us at www.savemyexams.co.uk/
8
(b) Describe fully the single transformation that maps shape A onto shape B.
(3)
(Total 5 marks)
A
B
x
y
5
4
3
2
1
1 2 3 4 5O
–1
–2
–3
–4
–4–5–6 –3 –2 –1 6
For more awesome resources, visit us at www.savemyexams.co.uk/
9
Describe fully the single transformation that maps triangle P onto triangle Q.
(Total 2 marks)
6
3
2
–2 –1 O 1 2
–1
–2
x
y
–3 3 4–4
–3
1
–4
–5–6 5 6
4
5
–5
–6
P
Q
7.
For more awesome resources, visit us at www.savemyexams.co.uk/
10
Reflect shape P in the line y = x
(2)
y
O 2 4 6 8 10 x
10
P
8
6
4
2
y = x9
7
5
3
1
1 3 5 7 9
8 (a)
For more awesome resources, visit us at www.savemyexams.co.uk/
11
(b)
Describe fully the single transformation that maps triangle A onto triangle B.
x–2 O 2 3 4
–1
–2
–3
–4
–5
y
5
4
3
2
1
5–4–5 –1–3
A
B
1
(2)
(Total 4 marks)
For more awesome resources, visit us at www.savemyexams.co.uk/
12