Free Printable proportion

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proportion

Total questions: 19

Worksheet time: 8mins

Name

Class

Date

If y is directly proportional to x and y=6 when x=2, find the value of y when x=11.

(a)

If y is inversely proportional to x and y=4 when x=3, find the value of y when x=6.

(a)

Jeremy uses 400 g of flour to make 8 muffins. How much flour would he need to make 30 muffins? Is it direct or inverse proportion problem?

Direct proportion

Indirect proportion

It takes 4 men 6 hours to repair a road. How long will it take 8 men to do the job if they work at the same rate? Is it direct or inverse proportion problem?

Direct proportion

Indirect proportion

Which of the given graphs is a direct proportion?

Is the given table a direct or inverse variation? What is the constant of variation?

Direct, 12

Inverse, 12

Direct, 1/12

Inverse, 1/12

A is directly proportional to the cube of B

$A\propto B$

$A\propto B^2$

$A\propto\sqrt{B}$

$A\propto B^3$

A is inversely proportional to the square root of B

$A\propto\frac{1}{B}$

$A\propto\frac{1}{B^2}$

$A\propto\frac{1}{\sqrt{B}}$

$A\propto\frac{1}{B^3}$

Number of hours worked and weekly wage.

Directly Proportional

Inversely Proportional

Neither

10.

What ordered pair does a direct variation always go through when graphed?

(0, 0)

(1, 0)

(0, 1)

(1, 1)

11.

Speed of car and time taken to arrive at destination.

Directly Proportional

Inversely Proportional

Neither

12.

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

13.

Distance away from the centre of Earth and mass (kg)

Directly Proportional

Inversely Proportional

Neither

14.

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?

50 kg water

72 kg water

94 kg water

150 kg water

15.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?

k = 123

k = 20

k = 6.15

k = 0.16

16.

4. In the variation equation M = 2t. What happens to M when t is doubled?

A. M is halved

B. M is doubled

C. M is tripled

D. M becomes zero

17.

11. If a and b are dependent and independent variables respectively, which equations shows inverse variation?

A. ab = k

B. a/b = k

C. b/a = k

D. none of the above

18.

15. If t varies inversely as squared of l, then we can write the equation as _________.

A. t/l² = k

B. l² = kt

C. tl²= k

D. none of the above

19.

19. Which of the following that illustrates inverse variation.

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proportion

Total questions: 19

Worksheet time: 8mins

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