Math 7 · Unit 11: Graphs · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1b: Three vertices of a square are (2, 3), (2, −3) and (−4, −3). Write the coordinates of the other vertex.

   • (3, −4)
   • (−4, 3)
   • (−4, −3)
   • (4, −3)
   Check

2. 2. Question 1c: Three vertices of a square are (2, 3), (2, −3) and (−4, −3). Find the coordinates of the centre of the square.

   • (1, 0)
   • (−1, 3)
   • (0, 0)
   • (−1, 0)
   Check

3. 3. Question 1d: Three vertices of a square are (2, 3), (2, −3) and (−4, −3). One side is on the line x = 2. Which lines are the other three sides on?

   • x = −4, x = 3 and y = −3
   • y = 2, y = −4 and x = 3
   • x = 4, y = 3 and y = −3
   • x = −4, y = 3 and y = −3
   Check

4. 4. Question 2a: rectangle ABCD has A(0, 5), B(4, 3) and C(1, −3). Find the coordinates of D.

   • (−3, −1)
   • (−3, 1)
   • (3, −1)
   • (−4, −1)
   Check

5. 5. Question 2b: rectangle ABCD has B(4, 3) and C(1, −3). Work out the coordinates of the centre of BC.

   • (5, 0)
   • (2.5, 0)
   • (2.5, 3)
   • (2, 0)
   Check

6. 6. Question 2c: rectangle ABCD has A(0, 5) and C(1, −3). Work out the coordinates of the centre of the rectangle.

   • (0.5, 1)
   • (1, 1)
   • (0.5, 4)
   • (0, 1)
   Check

7. 7. Question 2d: C is (1, −3). Work out the equation of the straight line through C that is parallel to the x-axis.

   • y = 1
   • x = −3
   • x = 1
   • y = −3
   Check

8. 8. Question 2e: C is (1, −3). Work out the equation of the straight line through C that is parallel to the y-axis.

   • x = 1
   • y = 1
   • y = −3
   • x = −3
   Check

9. 9. Question 3a: The lines x = −5 and y = 4 divide the grid into four regions: A, B, C and D. In which region is the point (5, 5)?

   • B
   • D
   • A
   • C
   Check

10. 10. Question 3b: The lines x = −5 and y = 4 divide the grid into four regions: A, B, C and D. In which region is the point (10, −10)?

    • C
    • B
    • A
    • D
    Check

11. 11. Question 3c: The lines x = −5 and y = 4 divide the grid into four regions: A, B, C and D. In which region is the point (−7, 2)?

    • C
    • D
    • A
    • B
    Check

12. 12. Question 3d: The lines x = −5 and y = 4 divide the grid into four regions: A, B, C and D. In which region is the point (−10, 10)?

    • C
    • B
    • D
    • A
    Check

13. 13. Question 3e: The lines x = −5 and y = 4 divide the grid into four regions: A, B, C and D. In which region is the point (25, 3)?

    • A
    • D
    • C
    • B
    Check

14. 14. Question 4b: A is (2, 6), B is (−4, 6) and C is (−4, −4). Write the equation of the line through A and B.

    • x = 2
    • y = 6
    • x = 6
    • y = −4
    Check

15. 15. Question 4c: B is (−4, 6) and C is (−4, −4). Write the equation of the line through B and C.

    • y = 6
    • y = −4
    • x = −4
    • x = 6
    Check

16. 16. Question 4d: AB is the line y = 6. Find the equation of the line through (−1, 6) that is perpendicular to AB.

    • x = −1
    • y = 6
    • x = 6
    • y = −1
    Check

17. 17. Question 4e: BC is the line x = −4. Find the equation of the line through (−4, 1) that is perpendicular to BC.

    • y = −4
    • y = 1
    • x = 1
    • x = −4
    Check

18. 18. Question 5a: EFG is a triangle. E is (5, 2), F is (1, −4) and x = 1 is a line of symmetry. Work out the coordinates of G.

    • (−3, 2)
    • (−5, 2)
    • (1, 2)
    • (5, −2)
    Check

19. 19. Question 5b: G is (−3, 2) and E is (5, 2). Work out the name of the line through G and E.

    • y = 2
    • x = 1
    • x = 2
    • y = 5
    Check

20. 20. Question 6: here are four lines: x = −2.8, y = 5.3, x = −4.5 and y = −0.7. Write the coordinates of the points where the lines meet.

    • (5.3, −2.8), (−0.7, −2.8), (5.3, −4.5) and (−0.7, −4.5)
    • (−2.8, −4.5), (5.3, −0.7), (−2.8, 5.3) and (−4.5, −0.7)
    • (−2.8, 5.3), (−2.8, −0.7), (−4.5, 5.3) and (−4.5, −0.7)
    • (−2.8, 5.3) and (−4.5, −0.7) only
    Check