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The following math revision questions are provided in support of the math tutorial on Properties of Proportion. Geometric Mean. 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 Properties of Proportion. Geometric Mean tutorials. The Properties of Proportion. Geometric Mean 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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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
---|---|---|---|---|---|---|

4.4 | Properties of Proportion. Geometric Mean |

**1.** . What is the missing term in the proportion below?

- 36
- 40
- 45
- 50

**Correct Answer: C**

**2.** . What is the missing term in the proportion below?

- 18
- 24
- 30
- 36

**Correct Answer: B**

**3.** . What are the missing terms x and y in the proportion below?

x:12:15 = 10:y:25

- x = 6; y = 15
- x = 8; y = 20
- x = 6; y = 20
- x = 3; y = 12

**Correct Answer: C**

**4.** . What is the result of a × b if a and b are terms of the following proportion?

a:6:15 = 4:8:b

- 3
- 20
- 45
- 60

**Correct Answer: D**

**5.** . What is the geometric mean of 5 and 20?

- 100
- 25
- 12.5
- 10

**Correct Answer: D**

**6.** .The geometric mean of 16 and m is 8. What is the value of m?

- 4
- 12
- 24
- 128

**Correct Answer: A**

**7.** .A cube having the side length equal to 6 inches is melted down to produce a rectangular container by dimensions 9 in × w in× 3 in, where w represents the width of the new container. What is the value of w in inches?

- 6 in
- 8 in
- 12 in
- 36 in

**Correct Answer: B**

**8.** .The equivalent resistance of a parallel combination of resistors is 8 ohms. What is the resistance of the second resistor if that of the first resistor is 6 ohms?

- 7 ohms
- √48 ohms
- 10 ohms
- 12 ohms

**Correct Answer: D**

**9.** .A rectangle has the dimensions 18 cm and 8 cm. What is the side length of a square, which has the same area with the given rectangle?

- 10 cm
- 12 cm
- 13 cm
- 16 cm

**Correct Answer: B**

**10.** . Two brothers are actually 12 and 17 years old respectively. After how many years the ratios of their ages will be 4:5?

- 5
- 6
- 7
- 8

**Correct Answer: D**

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- Check your calculations for Ratio and Proportion questions with our excellent Ratio and Proportion calculators which contain full equations and calculations clearly displayed line by line. See the Ratio and Proportion Calculators by iCalculator™ below.
- Continuing learning ratio and proportion - read our next math tutorial: Variation. Types of Variation

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