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

Questions

1. 1. Question 1a: in a test Arun scored 3 marks fewer than Sofia. If Sofia scored 30 marks, how many marks did Arun score?

   • 33
   • 90
   • 10
   • 27
   Check

2. 2. Question 1b: Arun scored 3 marks fewer than Sofia. If Sofia scored 12.5 marks, how many marks did Arun score?

   • 15.5
   • 9.5
   • 12.2
   • 4.5
   Check

3. 3. Question 1c: Arun scored 3 marks fewer than Sofia. If Arun scored 19 marks, how many marks did Sofia score?

   • 57
   • 16
   • 19
   • 22
   Check

4. 4. Question 1d: Sofia scores x marks and Arun scores y marks. Arun scores 3 marks fewer than Sofia. Complete the function y = …

   • y = 3x
   • y = 3 − x
   • y = x − 3
   • y = x + 3
   Check

5. 5. Question 2a: the length of a rectangle is four times its width. If the width is 11 cm, what is its length?

   • 40 cm
   • 15 cm
   • 44 cm
   • 2.75 cm
   Check

6. 6. Question 2b: the length of a rectangle is four times its width. If the length is 100 cm, what is its width?

   • 400 cm
   • 96 cm
   • 25 cm
   • 104 cm
   Check

7. 7. Question 2c: the length of a rectangle is four times its width. The width is w cm and the length is l cm. Which function gives l in terms of w?

   • l = w + 4
   • l = w ÷ 4
   • w = 4l
   • l = 4w
   Check

8. 8. Question 3: the price of a train ticket is $12 more than the price of a bus ticket. Find the price of the train ticket if the bus ticket is $9.

   • $108
   • $12
   • $3
   • $21
   Check

9. 9. The price of a train ticket is $12 more than the price of a bus ticket. The price of the bus ticket is $b. What is the price of the train ticket?

   • $(12 − b)
   • $(b + 12)
   • $12b
   • $(b − 12)
   Check

10. 10. Question 3c: the train ticket costs $t and the bus ticket costs $b. The train ticket is $12 more. Write a function for t.

    • t = 12b
    • t = b − 12
    • b = t + 12
    • t = b + 12
    Check

11. 11. Question 4a: Zara's mass is half the mass of Sofia. Together they have a mass of more than 20 kg. Which of these could be their masses?

    • Sofia 30 kg and Zara 15 kg
    • Sofia 12 kg and Zara 6 kg
    • Sofia 15 kg and Zara 30 kg
    • Sofia 20 kg and Zara 20 kg
    Check

12. 12. Question 4b: Sofia is x kg and Zara is y kg. Zara's mass is half of Sofia's. Write a formula for y in terms of x.

    • x = y ÷ 2
    • y = x ÷ 2
    • y = 2x
    • y = x − 2
    Check

13. 13. Marcus and Zara walk to school. Marcus takes 10 minutes longer than Zara. Copy and complete this table of possible times.

    Fill the blanks with these.

    • 25
    • 20
    • 7
    • 10
    • 27
    • 31
    • 51
    • 33
    Check

14. 14. Question 5b: Zara takes x minutes and Marcus takes y minutes. Marcus takes 10 minutes longer. Write a function for y in terms of x.

    • x = y + 10
    • y = 10x
    • y = x − 10
    • y = x + 10
    Check

15. 15. Question 6a: the diameter of one plate is 1.5 times the diameter of the other. If the small plate is 15 cm across, work out the diameter of the large plate.

    • 22.5 cm
    • 30 cm
    • 16.5 cm
    • 10 cm
    Check

16. 16. Zara has two plates. The diameter of one plate is 1.5 times the diameter of the other plate. Copy and complete this table of possible diameters.

    Fill the blanks with these.

    • 28.5
    • 24
    • 47.25
    • 22.5
    • 27
    • 20
    • 21
    • 45
    • 25.5
    Check

17. 17. Question 6c: the small plate is x cm and the large plate is y cm. Write a function connecting x and y.

    • y = x + 1.5
    • x = 1.5y
    • y = x ÷ 1.5
    • y = 1.5x
    Check

18. 18. Question 7a: all the sides of a pentagon are the same length. If the length of each side is 7 cm, work out the perimeter.

    • 42 cm
    • 35 cm
    • 12 cm
    • 28 cm
    Check

19. 19. Question 7b: all the sides of a pentagon are the same length. If the perimeter is 120 cm, work out the length of each side.

    • 20 cm
    • 24 cm
    • 115 cm
    • 600 cm
    Check

20. 20. All the sides of this pentagon are the same length. The perimeter is x cm and the length of each side is y cm. Tick the 2 functions that are correct.

    Tick all the right answers.

    • ☐ y = 5x
    • ☐ y = 0.2x
    • ☐ y = x ÷ 5
    • ☐ y = x + 5
    Check