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The following math revision questions are provided in support of the math tutorial on Proportion. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Proportion tutorials. The Proportion calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Ratio and Proportion Learning Material
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Proportion Revision Questions

1. . Which of the following proportions is true?

  1. 7:15 = 4:7
  2. 8:12 = 10:15
  3. 6:21 = 12:35
  4. 14:18 = 27:36

Correct Answer: B

2. . Which of the following ratios or rates are NOT a proportion?

  1. 3x:4y = 8y:6x
  2. 5x:7y = 20x:28y
  3. 6x:15x = 18y:45y
  4. x:3y = 2x:3y

Correct Answer: D

3. . Which of the following ratios or rates are inversely proportional to each other?

  1. 3x:4y = 8y:6x
  2. 5x:7y = 20x:28y
  3. 6x:15x = 18y:45y
  4. 6x:9y = 2x:3y

Correct Answer: A

4. . What is the value of x if the ratios (2 + x)a:8b = 9a:12b are in direct proportion to each other?

  1. 2
  2. 3
  3. 4
  4. 6

Correct Answer: C

5. . A car can travel 120 km with 8L of gasoline. How many km can it travel at the same rate if it consumes 18 L of gasoline?

  1. 270 km
  2. 220 km
  3. 180 km
  4. 150 km

Correct Answer: A

6. . 30 tailors can sew 12 shirts in one hour. How many tailors are needed to sew 16 shirts during the same time?

  1. 24
  2. 36
  3. 40
  4. 48

Correct Answer: C

7. . 18 workers are needed to dig a hole in 12 hours. How many hours does it take to 6 workers to dig the same hole?

  1. 4 hours
  2. 12 hours
  3. 18 hours
  4. 36 hours

Correct Answer: D

8. .Using the graph shown below, calculate how many litres of gasoline does the given car consumes if it travels 840 km at the same rate.

Math Tutorials: Proportion Example
  1. 14 L
  2. 56 L
  3. 60 L
  4. 80 L

Correct Answer: C

9. .The number of workers vs hours committed to do a job graph is shown below.

Math Tutorials: Proportion Example

How long does it take to 25 workers to do this job?

  1. 3.125 hours
  2. 0.32 hours
  3. 0.25 hours
  4. 200 hours

Correct Answer: B

10. . The Earth revolves around the Sun at 30 km/s. It makes a complete revolution in one year. How long it would take to the Earth to complete a revolution around the Sun moving at the same speed if the Sun was 250 million km away from the Earth? The actual distance Earth-Sun is 150 million km and the period of revolution T (the time needed to compete one revolution) is calculated by the formula


where R is the distance Earth-Sun, v is the speed of revolution and π is a constant (π ≈ 3.14).

  1. 3/5 of a year
  2. 5/3 of a year
  3. 2 years
  4. 2.5 years

Correct Answer: B

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  5. Continuing learning ratio and proportion - read our next math tutorial: Properties of Proportion. Geometric Mean

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