Reflection and translation – Year 5 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   (a) The first coordinate is across and the second is up: (4, 6). (1 mark)

   (b) Add 5 to the x-coordinate and 3 to the y-coordinate: (3 + 5, 2 + 3) = (8, 5). (1 mark)

   (c) Subtract 4 across and 5 up: (8 − 4, 7 − 5) = (4, 2). (1 mark)

   (d) x changes from 2 to 6 (+4) and y from 5 to 1 (−4): 4 squares right and 4 squares down. (1 mark)

2. Answer to Question 2 (4 marks)

   (a) 3 squares left of the line, so (7, 2). (1 mark)

   (b) 1 square left of the line, so (5, 5). (1 mark)

   (c) On the mirror line, so it stays at (4, 1). (1 mark)

   (d) 4 above the line, so 4 below: (5, −2). (1 mark)

3. Answer to Question 3 (4 marks)

   (a) Add 3 to each x and 2 to each y: A(1, 1) → (4, 3), B(4, 1) → (7, 3), C(1, 3) → (4, 5). Answer: (4, 3), (7, 3), (4, 5). (2 marks)

   (b) Each point keeps its distance from the mirror line x = 8 but moves to the other side. (4, 3) is 4 left of the line, so it goes to 12; (7, 3) goes to 9. Answer: (12, 3), (9, 3), (12, 5). (2 marks)

4. Answer to Question 4 (3 marks)

   (a) False. A translation only slides the shape, so the size stays the same. (1 mark)

   (b) True. It is already at distance 0 from the line. (1 mark)

   (c) False. The first number is across, so (2, 7) is 2 across and 7 up, but (7, 2) is 7 across and 2 up. (1 mark)

5. Answer to Question 5 (5 marks)

   (a) 6 − 2 = 4 and 4 − 1 = 3, so 4 squares right and 3 squares up. (2 marks)

   (b) The slide is 3 left of x = 5, so the image is 3 right: (8, 1). (1 mark)

   (c) (6 − 3, 4 − 2) = (3, 2). (1 mark)

   (d) The swings (3, 2) are 1 across and 1 up from the original slide (2, 1) but 5 across and 1 down from (8, 1), so they are nearer to the original slide. (1 mark)

Total : 20 marks