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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. 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.

2. Express the ratio of 400 g to 1.2 kg in its simplest form.

  1. 1 : 3
  2. 1 : 30
  3. 3 : 1
  4. 4 : 12
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Answer: A

Convert 1.2 kg to grams: 1.2 x 1000 = 1200 g. Ratio = 400 : 1200 = 1 : 3.

3. 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.

4. 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.

5. Which of the following ratios is equivalent to 3 : 5?

  1. 12 : 20
  2. 9 : 20
  3. 6 : 15
  4. 15 : 20
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Answer: A

Multiply both terms by 4: 3 x 4 = 12 and 5 x 4 = 20. Thus, 3 : 5 = 12 : 20.

6. If x : 12 = 5 : 4, find the value of x.

  1. 15
  2. 10
  3. 20
  4. 16
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Answer: A

x12 = 54 -> 4x = 60 -> x = 15.

7. Express 45% as a ratio in its simplest form.

  1. 9 : 20
  2. 9 : 10
  3. 45 : 100
  4. 9 : 25
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Answer: A

45% = 45100 = 920 -> 9 : 20.

8. 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.

9. In a town, 65% of the population are adults. What is the ratio of adults to non-adults in simplest form?

  1. 13 : 7
  2. 13 : 20
  3. 7 : 13
  4. 65 : 35
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Answer: A

Adults = 65%, Non-adults = 35%. Ratio = 65 : 35 = 13 : 7.

10. Find the ratio of 200 cm to 5 m in simplest form.

  1. 2 : 5
  2. 1 : 25
  3. 4 : 1
  4. 20 : 5
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Answer: A

Convert 5 m to cm: 500 cm. Ratio = 200 : 500 = 2 : 5.

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