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WorksheetsDirect and Inverse Proportion
Total questions: 44
Worksheet time: 2hrs 39mins
Name
Class
Date
1.
Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
2.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
3.
Name the constant of proportionality.
a)
20
b)
40
c)
16
d)
35
4.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
5.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
6.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
7.
a)
A
b)
B
c)
C
d)
D
8.
Every 30 seconds, you can text 35 words. How many words can you type in an hour?
a)
2,300
b)
4,200
c)
540
d)
1,800
9.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
10.
A farmer has enough food to feed 20 animals at his farm for 6 days. How long the food lost if there were 10 more animals in the farm>
a)
5 days
b)
4 days
c)
6 days
d)
3 days
11.
x and y very inversely. When x = 15 then y = 6. What will be the value when x = 9?
a)
10
b)
15
c)
54
d)
135
12.
6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in _______ minutes
a)
100
b)
174
c)
144
d)
108
13.
Say 'TRUE' or 'FALSE'
The population of a country and the area of land per person are inversely proportional
The population of a country and the area of land per person are inversely proportional
a)
TRUE
b)
FALSE
14.
Identify whether the given relation is Direct or Indirect Proportion?
The number of workers on a job and the time to complete the job
The number of workers on a job and the time to complete the job
a)
Direct Proportion
b)
Indirect Proportion
15.
Identify whether the given relation is Direct or Indirect Proportion?
Area of cultivated land and the crop harvested
Area of cultivated land and the crop harvested
a)
Director Proportion
b)
Indirect Proportion
16.
Y is directly proportional to the square of z and inversely proportional to w and x
a)
y=kz2/wx
b)
y=kz/wx
c)
y=wx/kx2
d)
y=wx/kz
17.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a)
$394
b)
$443.25
c)
$472.80
d)
$512.20
18.
Which situation involves a direct variation?
a)
As the number of miles you travel increases, the amount of gas in the tank decreases.
b)
As the number of hours you study increases, the grade you get on your SOL increases.
c)
The amount of ice in a glass decreases as the temperature increases.
19.
The cost of producing pencils varies directly with the number of pencils produced. If the cost of producing 6,000 pencils is $400, then what will be the cost of production for 10,000 pencils?
a)
$612
b)
$604
c)
$600
d)
$610
20.
The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50 degrees, what is the pressure in the chamber when the temperature of the chamber is 75 degrees?
a)
175 atm
b)
200 atm
c)
225 atm
d)
275 atm
21.
The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
a)
$22.50
b)
$57.60
c)
$1.11
d)
$12.50
22.
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?
a)
5.33 hours
b)
6.75 hours
c)
12 hours
d)
10 hours
23.
Boyle’s Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters?
a)
39.8 cm Hg
b)
41.0 cm Hg
c)
43.2 cm Hg
d)
45.1 cm Hg
24.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
25.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
26.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
27.
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?
a)
50 kg water
b)
72 kg water
c)
94 kg water
d)
150 kg water
28.
Is the given table a direct variation? If so, what is the constant of variation?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
29.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
30.
When Darcy's school bus travels at 30 miles per hour, it gets from her home to school in 12 minutes. What is the speed of Darcy's bus if it makes the same trip in 18 minutes?
a)
45 mph
b)
36 mph
c)
28 mph
d)
20 mph
31.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
32.
The time to complete a project varies inversely with the number of employees.
If 3 people can complete the project in 7 days, how long will it take 5 people?
If 3 people can complete the project in 7 days, how long will it take 5 people?
a)
12 days
b)
4.2 days
c)
6.2 days
d)
10 days
33.
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?
a)
5.33 hours
b)
6.75 hours
c)
12 hours
d)
10 hours
34.
who voiced sally brown (peanuts) 1984-1985.
a)
fergie- (the black eyed peas)
b)
hillary clinton (ELECTION 2016)
c)
kristen scaal (GRAVITY FALLS)
d)
michelle obama (first lady)
35.
how did tom kevin (spongebob) make spongebob's voice
a)
it's what he thought his dog sounded like
b)
it is his real voice
c)
he heard an angry dwarf yelling
d)
he made up a voice, based of one of his friends who he disliked
36.
What is happening between 2 and 3 seconds?
a)
The object is not moving.
b)
The object is not accelerating.
c)
The object is slowing down.
d)
The object is speeding up.
37.
What is happening between 3 seconds and 4 seconds?
a)
The object is moving in a negative direction.
b)
The object is returning to its starting position.
c)
The object is slowing to a stop.
d)
The object is changing direction.
38.
What happens at 4 seconds?
a)
The object changes direction.
b)
The object is at the starting point.
39.
What is happening between 4 and 5 seconds?
a)
The object is slowing down in a negative direction.
b)
The object is slowing down in a positive direction.
c)
The object is slowing down in a negative direction.
d)
The object is speeding up in a negative direction.
40.
What is this graph showing?
a)
Constant Speed
b)
Acceleration (speeding up)
c)
Deceleration (slowing down)
d)
No motion
41.
What is this graph showing?
a)
Constant Speed
b)
object is speeding up
c)
object is slowing down
d)
No motion
42.
What show is this?
a)
The Marvelous Misadventures of Flapjack
b)
Foster Home of Imanginary Friends
c)
My Gym Partner a Monkey
d)
Total Drama
43.
What show is this?
a)
Courage the Cowardly Dog
b)
The Grim Adventures of Billy & Mandy
c)
Ed, Edd n Eddy
d)
We Bare Bears
44.
What is the name of this character?
a)
Lightning McQueen
b)
Guy
c)
Doc
d)
Mater
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