WorksheetsJoint and Combined Variations
Total questions: 10
Worksheet time: 44mins
1. Which of the following is the equation of variation where c varies jointly as g and f and c=24 when g=2 and f=3.
A. K = cgf
B. C=kgf
C. G = kcf
D. F=kcg
2. Which of the following situations illustrates combined variations?
A) A varies directly as B and inversely as C
B) B varies jointly as D and inversely as M
C) P is directly proportional to Q and inversely proportional to R
D) All of the above
For numbers 3-4, refer to the given problem.
The cost (C) of labor varies jointly as the number of workers (W) and the number of days (D) they work. If 10 men working 8 days each are paid Php560,
3. Which of the following is the value of the variation constant?
A. 3
B. 5
C. 7
D. 9
4. The cost (C) of labor varies jointly as the number of workers (W) and the number of days (D) they work. If 10 men working 8 days each are paid Php560. How many days will it take 12 men to earn Php756?
A. 5
B. 7
C. 9
D. 11
5. T varies directly as the square of P and inversely as Z. Using k as the constant of variation, which of the following is the equation of variation?
A. T = kp2 / z
B. T = kpz2
C. T = kz2 / p
D. T = pz2 / k
6. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6, Which of the following is the value of the variation constant?
A. 6
B. 8
C. 10
D. 12
7. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6, Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36
8. Z varies jointly as Y and W and inversely as the square of X. if Z=360, y=24, w=20 and x=4, which of the following is the value of the variation constant?
A. 12
B. 15
C. 18
D. 21
9. Z varies jointly as Y and W and inversely as the square of X. if Z=360, y=24, w=20 and x=4, Which of the following is the variation equation of the problem?
A. Z = yw / x2
10. Z varies jointly as Y and W and inversely as the square of X. if Z=360, y=24, w=20 and x=4 , Which of the following is half the value of Z when y=27, w=15 and x=3?
A. 540
B. 360
C. 270
D. 180
