Examiner’s use only
Team Leader’s use only
Surname Initial(s)
Signature
Centre
No.
Turn over
Candidate
No.
Paper Reference...
Leave
blank
1.
7
6
5
4
3
2
1
–1
–2
–3
–4
–5
–6
–6 –5 –4 –3 –2 –1
O
1 2 3 4 5 6 x
y
T
Triangle T has been drawn on the grid...
Leave
blank
2.
y
8
7
6
5
4
3
2
1
O 1 2 3 4 5 6 7 8 9 10 x
P
Q
Describe fully the single transformation which maps shape P ...
Leave
blank
3.
A
B
4 3 2 1 1 2 3 4 5 6 7
7
6
5
4
3
2
1
O
1
2
3
4
5
_ _ _ _
_
_
_
_
_
y
x
Triangle A and triangle B are dra...
Leave
blank
4.
8
8
6
6
4
4
2
2O
–2
–2
–4
–4
–6
–6
–8
–8
y
x
(a) Rotate the shaded shape 90° clockwise about the point O.
(...
Leave
blank
5.
P
Triangle P has been drawn on a grid.
(a) On the grid, draw an enlargement of the triangle P with scale fa...
Leave
blank
6.
(a) Rotate triangle P 180° about the point (–1, 1).
Label the new triangle A.
(2)
(b) Translate triangle P ...
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blank
(c) Reflect triangle Q in the line y = x.
Label the new triangle C.
(2) Q6
(Total 5 marks)
x
y
5
4
3
2
1
1 2 3...
Leave
blank
7.
(a) Reflect shape A in the y axis.
(2)
(b) Describe fully the single transformation which takes shape A to ...
Leave
blank
8.
Rotate the shape 90° clockwise, centre O. Q8
(Total 2 marks)
y
xO–1 1
1
–1
–2
–3
2
3
2 3 4–2–3–4
Lots more ...
Leave
blank
9.
On the grid, enlarge the shape with a scale factor of 2
1
, centre P. Q9
(Total 3 marks)
P
Lots more free p...
Leave
blank
10.
x
y
1 2 43 5
1
3
2
4
6O
A
−1−2−3−4−5
−1
−4
−3
−2
7−6−7
5
6
−5
−6
(a) On the grid above, reflect shape A in...
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Transformations

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Need help with Translation, Enlargements, Rotations and Reflections? Then here are some questions to help.

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Transformations

  1. 1. Examiner’s use only Team Leader’s use only Surname Initial(s) Signature Centre No. Turn over Candidate No. Paper Reference(s) 1380/3H Edexcel GCSE Mathematics (Linear) – 1380 Paper 3 (Non-Calculator) Transformation Past Paper Questions Arranged by Topic Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions to Candidates In the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper. Answer ALL the questions. Write your answers in the spaces provided in this question paper. You must NOT write on the formulae page. Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets. Information for Candidates The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). There are 26 questions in this question paper. The total mark for this paper is 100. There are 24 pages in this question paper. Any blank pages are indicated. Calculators must not be used. Advice to Candidates Show all stages in any calculations. Work steadily through the paper. Do not spend too long on one question. If you cannot answer a question, leave it and attempt the next one. Return at the end to those you have left out. Lots more free papers at: http://bland.in Compiled by Peter Bland *N34730A0124* Paper Reference 1 3 8 0 3 H
  2. 2. Leave blank 1. 7 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 –6 –5 –4 –3 –2 –1 O 1 2 3 4 5 6 x y T Triangle T has been drawn on the grid. Rotate triangle T 180° about the point (1, 0). Label the new triangle A. Q1 (Total 2 marks) Lots more free past papers at http://bland.in
  3. 3. Leave blank 2. y 8 7 6 5 4 3 2 1 O 1 2 3 4 5 6 7 8 9 10 x P Q Describe fully the single transformation which maps shape P onto shape Q. .............................................................................................................................................. .............................................................................................................................................. Q2 (Total 3 marks) Lots more free past papers at http://bland.in
  4. 4. Leave blank 3. A B 4 3 2 1 1 2 3 4 5 6 7 7 6 5 4 3 2 1 O 1 2 3 4 5 _ _ _ _ _ _ _ _ _ y x Triangle A and triangle B are drawn on the grid. (a) Describe fully the single transformation which maps triangle A onto triangle B. ....................................................................................................................................... ....................................................................................................................................... (3) (b) Translate triangle A by the vector 3 0 . Label the new triangle C. (1) Q3 (Total 4 marks) Lots more free past papers at http://bland.in
  5. 5. Leave blank 4. 8 8 6 6 4 4 2 2O –2 –2 –4 –4 –6 –6 –8 –8 y x (a) Rotate the shaded shape 90° clockwise about the point O. (2) 4 2 3 1 O–4 –2–3 –1 2 41 3 y x P Q (b) Describe fully the single transformation that will map shape P onto shape Q. ....................................................................................................................................... (2) Q4 (Total 4 marks) Lots more free past papers at http://bland.in
  6. 6. Leave blank 5. P Triangle P has been drawn on a grid. (a) On the grid, draw an enlargement of the triangle P with scale factor 3 (2) Triangle Q has been drawn on a grid. (b) On the grid, rotate triangle Q 90° clockwise, centre O. (3) Q5 (Total 5 marks) 1 1 O y x 2 3 4 –1 –1 –2 –3 –4 –2–3–4 2 3 4 Q Lots more free past papers at http://bland.in
  7. 7. Leave blank 6. (a) Rotate triangle P 180° about the point (–1, 1). Label the new triangle A. (2) (b) Translate triangle P by the vector . Label the new triangle B. (1) x y 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 –6 –5 –4 –3 –2 –1 O 1 2 3 4 5 6 P 6 1− ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Lots more free past papers at http://bland.in
  8. 8. Leave blank (c) Reflect triangle Q in the line y = x. Label the new triangle C. (2) Q6 (Total 5 marks) x y 5 4 3 2 1 1 2 3 4 5O Q y = x Lots more free past papers at http://bland.in
  9. 9. Leave blank 7. (a) Reflect shape A in the y axis. (2) (b) Describe fully the single transformation which takes shape A to shape B. ....................................................................................................................................... (3) Q7 (Total 5 marks) 2 3 4 5 –1 –2 –3 –4 –5 1 2 3 4 5–1–2–3–4–5 O x y A B 1 Lots more free past papers at http://bland.in
  10. 10. Leave blank 8. Rotate the shape 90° clockwise, centre O. Q8 (Total 2 marks) y xO–1 1 1 –1 –2 –3 2 3 2 3 4–2–3–4 Lots more free past papers at http://bland.in
  11. 11. Leave blank 9. On the grid, enlarge the shape with a scale factor of 2 1 , centre P. Q9 (Total 3 marks) P Lots more free past papers at http://bland.in
  12. 12. Leave blank 10. x y 1 2 43 5 1 3 2 4 6O A −1−2−3−4−5 −1 −4 −3 −2 7−6−7 5 6 −5 −6 (a) On the grid above, reflect shape A in the line x = 1 (2) x y 1 2 3 4 5 1 3 2 4 6O−1−2−3−4−5 −1 −3 −2 5 Q P (b) Describe fully the single transformation that will map shape P onto shape Q. ....................................................................................................................................... ....................................................................................................................................... (2) Q10 (Total 4 marks) Lots more free past papers at http://bland.in

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