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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
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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?
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?
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?
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?
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?
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.
Correct Answer: A
7. . What is the variation indicated by the graph below?
Correct Answer: D
8. . Which variation is indicated by the graph below?
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)
Correct Answer: A
10. . 2a varies inversely as 3b and a = 6 when b = 3. Find the value of a when b = 9.
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?
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.
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.
Correct Answer: D
14. . x varies directly as 2y and inversely as x + 6. What is the relationship that expresses this joint variation?
Correct Answer: C
15. . Given that a/b = 2c/d = e/3f = k, find the value (a · d · e) / (b · c · f).
Correct Answer: A
Correct Answer: A
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