Math 7 · Unit 10: Percentages · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1a: list all the percentages less than 100 that are multiples of 10.

   • 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, 100%
   • 20%, 40%, 60%, 80%
   • 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%
   • 0%, 10%, 20%, 30%, 40%, 50%
   Check

2. 2. 1b: write each percentage in part a as a fraction in its simplest form (10%, 20%, … 90%).

   • 1/10, 1/5, 3/10, 2/5, 1/2, 3/5, 7/10, 4/5, 9/10
   • 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10
   • 1/100, 1/50, 3/100, 1/25, 1/20, 3/50, 7/100, 4/50, 9/100
   • 1/10, 1/5, 3/10, 1/4, 1/2, 3/5, 7/10, 4/5, 9/10
   Check

3. 3. 2a: write 72% as a fraction, in its simplest form.

   • 36/50
   • 9/25
   • 72/100
   • 18/25
   Check

4. 4. 2b: write 73% as a fraction, in its simplest form.

   • 37/50
   • 73/100
   • 7/30
   • 73/10
   Check

5. 5. 2c: write 74% as a fraction, in its simplest form.

   • 74/100
   • 37/50
   • 37/100
   • 74/50
   Check

6. 6. 2d: write 75% as a fraction, in its simplest form.

   • 75/100
   • 3/4
   • 15/20
   • 3/5
   Check

7. 7. 2e: write 76% as a fraction, in its simplest form.

   • 76/100
   • 38/50
   • 19/25
   • 19/20
   Check

8. 8. Question 3: Arun says '6% is equivalent to 0.6'. Which statement shows that Arun is incorrect?

   • 6% = 0.006.
   • 6% = 0.06, and 0.6 = 60%.
   • 6% = 6, and 0.6 = 0.6%.
   • 6% = 0.6, and 0.6 = 6%.
   Check

9. 9. 4 Write these in order, listing the smallest first. 77%, 0.8, 3/4, 0.71, 38/50, 70%, 17/25

   Put these in order.

   • 0.8
   • 17/25
   • 70%
   • 3/4
   • 0.71
   • 77%
   • 38/50
   Check

10. 10. 5a: write 3/5 as a percentage.

    • 6%
    • 53%
    • 60%
    • 35%
    Check

11. 11. 5b: write 3/10 as a percentage.

    • 3%
    • 0.3%
    • 70%
    • 30%
    Check

12. 12. 5c: write 13/50 as a percentage.

    • 2.6%
    • 50%
    • 13%
    • 26%
    Check

13. 13. 5d: write 23/25 as a percentage.

    • 9.2%
    • 48%
    • 92%
    • 23%
    Check

14. 14. 5e: write 33/50 as a percentage.

    • 66%
    • 50%
    • 83%
    • 33%
    Check

15. 15. Question 6a: a circle is divided into 20 equal sectors. 7 of the sectors are grey. What percentage of the circle is grey?

    • 20%
    • 35%
    • 7%
    • 70%
    Check

16. 16. Question 6b: the area of the circle is 120 cm². 35% of the circle is grey. Find the area of the grey part.

    • 42 cm²
    • 4.2 cm²
    • 85 cm²
    • 35 cm²
    Check

17. 17. 7a: work out i 30% of $240, ii 70% of $240, iii 5% of $240, iv 95% of $240.

    • i $72, ii $168, iii $24, iv $216
    • i $72, ii $168, iii $12, iv $252
    • i $72, ii $168, iii $12, iv $228
    • i $7.20, ii $16.80, iii $1.20, iv $22.80
    Check

18. 18. 7b: 5% of $240 is $12. Can you use this to find 95% of $240?

    • Yes
    • No
    Check

19. 19. 8a Copy and complete this diagram. 100% = $6

    Fill the blanks with these.

    • 1.5
    • 12
    • 2
    • 3
    • 0.06
    • 0.6
    • 1.2
    Check

20. 20. Question 9: which of these is NOT a correct method to work out 45% of 800 kg?

    • 45 × 800 = 36 000 kg
    • 40% + 5% = 320 + 40 = 360 kg
    • 50% − 5% = 400 − 40 = 360 kg
    • 0.45 × 800 = 360 kg
    Check