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Quiz Chapter 4: Ratios, Rates and Proportions

10 questions · Form 1 Mathematics Bab 4: Ratios, Rates and Proportions

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Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. A machine produces 120 bottles in 15 minutes. What is the rate of production in bottles per minute?

  1. 8 bottles/min
  2. 10 bottles/min
  3. 6 bottles/min
  4. 12 bottles/min
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Answer: A

Rate = 12015 = 8 bottles per minute.

2. The ratio of boys to girls in a class is 3 : 2. If there are 18 boys, how many girls are there?

  1. 12
  2. 15
  3. 10
  4. 24
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Answer: A

3 parts = 18 boys -> 1 part = 6. Girls = 2 parts = 2 x 6 = 12.

3. Simplify the fraction ratio 12 : 34.

  1. 2 : 3
  2. 3 : 4
  3. 1 : 3
  4. 4 : 3
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Answer: A

Multiply both sides by 4 (LCM of denominators): (12 x 4) : (34 x 4) = 2 : 3.

4. If p : q = 2 : 3 and q : r = 6 : 7, find the ratio p : q : r.

  1. 4 : 6 : 7
  2. 2 : 6 : 7
  3. 4 : 3 : 7
  4. 2 : 3 : 7
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Answer: A

Equalise q: p : q = 4 : 6 and q : r = 6 : 7. Thus, p : q : r = 4 : 6 : 7.

5. If a : b = 3 : 4 and the sum of a and b is 35, find the value of b.

  1. 20
  2. 15
  3. 25
  4. 10
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Answer: A

Total parts = 3 + 4 = 7 parts = 35 -> 1 part = 5. Value of b = 4 x 5 = 20.

6. If 3 workers take 6 days to paint a wall, how many days will 9 workers take working at the same rate? (Inverse proportion)

  1. 2 days
  2. 18 days
  3. 3 days
  4. 4 days
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Answer: A

Worker-days required = 3 x 6 = 18. Time for 9 workers = 189 = 2 days.

7. Simplify the ratio 0.6 : 1.5.

  1. 2 : 5
  2. 3 : 5
  3. 1 : 3
  4. 2 : 3
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Answer: A

Multiply by 10 -> 6 : 15. Divide by 3 -> 2 : 5.

8. Which of the following is a rate?

  1. RM5 per kilogram
  2. 3 : 7
  3. 25%
  4. 4 metres out of 10 metres
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Answer: A

RM5 per kilogram compares two different quantities (money and mass) with different units, which defines a rate.

9. A car travels 180 km in 2 hours. What is its average speed in km/h?

  1. 90 km/h
  2. 360 km/h
  3. 45 km/h
  4. 80 km/h
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Answer: A

Speed = Distance / Time = 180 km / 2 h = 90 km/h.

10. If 8 identical books cost RM96, how much do 5 of these books cost?

  1. RM60
  2. RM40
  3. RM48
  4. RM72
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Answer: A

Cost of 1 book = 968 = RM12. Cost of 5 books = 5 x 12 = RM60.

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