Four-quadrant coordinates and transformations – Year 6 maths test answers to download as PDF

← Back to the test

1. Answer to Question 1 (3 marks)

   1. A(2, 3), B(−4, 1), C(−3, −2). (1 mark)
   2. C has negative x and negative y, so it is in quadrant 3. (1 mark)
   3. The fourth corner has the same y as (2, 3) and the same x as (−3, −2): (−3, 3). (1 mark)

2. Answer to Question 2 (4 marks)

   1. x: 4 − 3 = 1. y: −2 + 5 = 3. The image is (1, 3). (1 mark)
   2. x increases by 3 and y decreases by 2: 3 right and 2 down. (1 mark)
   3. A′(4, −2), B′(6, −2), C′(6, 1). (2 marks)

3. Answer to Question 3 (4 marks)

   1. (5, 3). (1 mark)
   2. (6, 2). (1 mark)
   3. (−1, 1), (−4, 1), (−1, 3). (1 mark)
   4. The area does not change. A reflection keeps the size and shape of the triangle (area = ½ × 3 × 3 = 4.5). (1 mark)

4. Answer to Question 4 (4 marks)

   1. 5 + 3 = 8 units. (1 mark)
   2. 6 + 1 = 7 units. (1 mark)
   3. Width = 2 + 4 = 6 and height = 1 + 3 = 4. Perimeter = 2 × (6 + 4) = 20 units. (1 mark)
   4. Area = 6 × 4 = 24 square units. (1 mark)

5. Answer to Question 5 (5 marks)

   1. PQRS is a square with sides of 3 units, which is 9 m. Perimeter = 4 × 9 = 36 m. (1 mark)
   2. Area = 9 × 9 = 81 m². (1 mark)
   3. (4, 1), (1, 1), (1, −2), (4, −2). (2 marks)
   4. Yes, a reflection does not change the size. The nearest edges are at x = −1 and x = 1, which is 2 units apart, so 2 × 3 = 6 m. (1 mark)

Total : 20 marks