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The following math revision questions are provided in support of the math tutorial on Variation. Types of Variation. 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 Variation. Types of Variation tutorials. The Variation. Types of Variation calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

**Not sure on some or part of the Variation. Types of Variation questions? Review the tutorials and learning material for Variation. Types of Variation**

Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
---|---|---|---|---|---|---|

4.5 | Variation. Types of Variation |

**1.** . x and y vary directly and x = 15 when y = 27. What is the value of y when x = 25?

- 36
- 45
- 50
- 54

**Correct Answer: B**

**2.** . A researcher can read 24 pages of a professional book in 45 minutes. How many pages can he read in one hour?

- 24/45
- 20
- 30
- 60

**Correct Answer: C**

**3.** . 12 employees can do a job in 12 days. How long does it take to 16 employees to do the same job?

- 16 days
- 14 days
- 10 days
- 9 days

**Correct Answer: D**

**4.** . A driver drove a car for 9 hours at a speed of 40 km/h. At what speed must he drive to reach the same destination in 5 hours?

- 11.25 km/h
- 21.22 km/h
- 72 km/h
- 90 km/h

**Correct Answer: C**

**5.** . z varies directly with both x and y where x and y vary inversely with each other. The value of z is 24 when x = 3 and y = 4. What is the value of z when x = 10 and y = 7?

- 2
- 24
- 70
- 140

**Correct Answer: D**

**6.** . 12 tailors can sew 24 dresses in 15 days by working for 10 hours a day. How many tailors can sew 30 dresses in 20 days if they work for 8 hours a day? Round the answer to the nearest integer if needed.

- 14
- 12
- 10
- 8

**Correct Answer: A**

**7.** . What is the variation indicated by the graph below?

- y = 4x
- y = x/3
- y = x/4
- y = 4/x

**Correct Answer: D**

**8.** . Which variation is indicated by the graph below?

- y = 2x
- y = x/2
- y = 2/x
- y = x - 2

**Correct Answer: B**

**9.** . If a + b + c = 51; a/b = 2/3 and b/c = 1/4, what is 2a - b + 3c?

(**Hint!** Express everything in terms of b)

- 37
- 20
- 17
- 13

**Correct Answer: A**

**10.** . 2a varies inversely as 3b and a = 6 when b = 3. Find the value of a when b = 9.

- 2
- 3
- 6
- 12

**Correct Answer: A**

**11.** . a varies directly as b and inversely as c. The value of a is 9 when b = 54 and c = 12. What is the value of a when b = 16 and c = 20?

- 3.2
- 1.6
- 0.8
- 0.2

**Correct Answer: B**

**12.** . y varies directly as 3x and inversely as x + 1. The value of x is 2 when y = 8. Calculate the value of y when x = 5.

- 5
- 6
- 3.2
- 80

**Correct Answer: A**

**13.** . $84 are divided among three sisters A, B and C (Ashley, Betty and Cathy) aged 6, 10 and 12 respectively, inversely proportional to their ages. Calculate the amount each sister receives.

- A = $20; B = $24; C = $40
- A = $18; B = $30; C = $36
- A = $36: B = $30; C = $18
- A = $40; B = $24: C = $20

**Correct Answer: D**

**14.** . x varies directly as 2y and inversely as x + 6. What is the relationship that expresses this joint variation?

- x = 2y / (x + 6)
- 2y = x · (x + 6)
- 2y = k · x · (x + 6)
- x = 2 · k · y / (x + 6)

**Correct Answer: C**

**15.** . Given that a/b = 2c/d = e/3f = k, find the value (a · d · e) / (b · c · f).

- 6k
- 3k
- k
- k/6

**Correct Answer: A**

**Correct Answer: A**

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