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Variation. Types of Variation

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4.5Variation. Types of Variation

Variation. Types of Variation Revision Questions

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

  1. 36
  2. 45
  3. 50
  4. 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?

  1. 24/45
  2. 20
  3. 30
  4. 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?

  1. 16 days
  2. 14 days
  3. 10 days
  4. 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?

  1. 11.25 km/h
  2. 21.22 km/h
  3. 72 km/h
  4. 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?

  1. 2
  2. 24
  3. 70
  4. 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.

  1. 14
  2. 12
  3. 10
  4. 8

Correct Answer: A

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

Math Tutorials: Variation. Types of Variation Example
  1. y = 4x
  2. y = x/3
  3. y = x/4
  4. y = 4/x

Correct Answer: D

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

Math Tutorials: Variation. Types of Variation Example
  1. y = 2x
  2. y = x/2
  3. y = 2/x
  4. 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)

  1. 37
  2. 20
  3. 17
  4. 13

Correct Answer: A

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

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

  1. 3.2
  2. 1.6
  3. 0.8
  4. 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.

  1. 5
  2. 6
  3. 3.2
  4. 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.

  1. A = $20; B = $24; C = $40
  2. A = $18; B = $30; C = $36
  3. A = $36: B = $30; C = $18
  4. 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?

  1. x = 2y / (x + 6)
  2. 2y = x · (x + 6)
  3. 2y = k · x · (x + 6)
  4. 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).

  1. 6k
  2. 3k
  3. k
  4. k/6

Correct Answer: A

Correct Answer: A

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