WorksheetsVariation Practice Problems
Total questions: 10
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
If y is directly proportional to x and y=15 when x=12, what is the value of y when x=16?
a)
12.8
b)
13.0
c)
16.4
d)
20.0
2.
If n is inversely proportional to the square of p and n=10 when p=2, what is the value of n when p=4?
a)
2.5
b)
5
c)
10
d)
20
3.
The distance a car travels (d) varies directly with the speed of the car (r). If m is the constant of proportionality, which formula could represent this relationship?
a)
r = md
b)
r = m2/d
c)
d = mr
d)
d = m/r
4.
The time required to complete a job varies inversely with the number of people working. If it took 5 painters 3 days to paint a house, how long would it take 1 painter?
a)
3/5 day
b)
5/3 day
c)
8 days
d)
15 days
5.
Suppose c varies jointly with a and b. If c=25 when a=2 and b=2.5, what is the value of b when c=40 and a=6?
a)
4/3
b)
5
c)
20/3
d)
15/2
6.
If p is inversely proportional with q and p=1/4 when q=3/5, what is the constant of proportionality?
a)
5/12
b)
3/20
c)
17/20
d)
12/5
7.
Which equation represents a situation in which t varies jointly as p and q?
a)
p = ktq
b)
t = kpq
c)
t = (kp)/q
d)
q = ktq
8.
In which of the following is x directly proportional to c and inversely proportional to b?
a)
x = (kc)/b
b)
x = c/(kb)
c)
x = (kb)/c
d)
x = b/(kc)
9.
If y is directly proportional to x and x=5 when y=20, what is the constant of variation?
a)
4
b)
100
c)
0.25
d)
25
10.
The number of employees it takes to complete a report is inversely proportional to the time it takes to finish the report. If it takes 5 employees 10 hours to finish a report, how many hours would it take for 2 employees to complete the same report?
a)
20
b)
15
c)
25
d)
10
100 %
