Free Printable Math 9 Quiz #1

Worksheets

Math 9 Quiz #1

Total questions: 20

Worksheet time: 55mins

Name

Class

Date

If m varies directly as n, then m=kn.

True

False

If m varies directly as b, then m = nb.

True

False

If m varies directly as the square root of n, then

m=k\sqrt{n}

True

False

If m is directly proportional to n, the equation must be written as _____________.

mn = k

$k=\frac{m}{n}$

$m=\frac{k}{n}$

none of the above

If a and b are dependent and independent variables respectively, which equation shows inverse variation?

$ab=k$

$\frac{a}{b}=k$

$m=\frac{k}{n}$

none of the above

x=\frac{k}{y}

, then __________.

$x_1y_1=x_2y_2$

$x_1x_2=y_1y_2$

$x_1y_2=x_2y_1$

none of the above

In a direct variation, if the independent variable is doubled, what will happen to the dependent variable?

The dependent variable is also doubled.

The dependent variable is increased by 2.

The dependent variable is divided by 2.

none of the above

If y is directly proportional to (3x + 2) and y=4 when x=2, find y when x=6.

The electric current I (in amperes) of an electric circuit varies directly as the voltage V. When 24 volts is applied, the current is 8 amperes. Find the current when 12 volts is applied.

4 amperes

5 amperes

6 amperes

7 amperes

10.

The amount (A) that a family gives to charitable institution varies directly as its income (I). Last year, the family earned Php 1 600 000 and gave Php 128 000 to charity. How much will they give if they earned Php 2 100 000 this year?

Php 168 000

Php 170 000

Php 169 000

Php 166 000

11.

The weight W of an object on Mars is directly proportional to its weight B on Earth. A man who weighs 118.75 kg on Earth weighs 47.5 kg on Mars. Find the weight of a man on Mars if he weighs 98 kg on Earth.

39.2 kg

38.7 kg

36.4 kg

39.0 kg

12.

The weight of an object is inversely proportional to the square of its distance from the center of the Earth. At sea level (6 400 km from the center of the Earth), a cosmonaut weighs 110 kg. Find his weight when he is 210 km above the surface of the Earth.

103.12 kg

105.07 kg

102.56 kg

104.72 kg

13.

The current I in amperes is inversely proportional to the resistance R in ohms. If the current is 30 amperes when the resistance is 3 ohms, what is the current when the resistance is 5 ohms?

18 amperes

90 amperes

20 amperes

19 amperes

14.

The intensity of light from a source is inversely proportional to its square of the distance from the source. If a pocketbook is 2.4 m from the lamp, the illumination on the page of the book is 500lm/m^2 (lumens per square meter). How far must the lamp be moved so that the intensity of light will be doubled?

0.7 m

1.7 m

2.4 m

1.2 m

15.

The horsepower produced by a steam engine varies directly as the number of revolutions per minute of its operation. If 1 200 horsepower was produced when a machine was operated at 150 revolutions per minute, find the horsepower it will produce when it operates at 170 revolutions per minute.

1 360 horsepower

1 300 horsepower

1 340 horsepower

1 350 horsepower

16.

What type of variation does this scenario represent?
You and some friends decide to buy 2 pizzas and split the cost evenly.
The number of friends who are sharing the cost of the pizzas
and the amount of money you pay for your share.

direct variation

inverse variation

joint variation

none of these

17.

direct variation

inverse variation

neither direct nor inverse variation

18.

direct variation

inverse variation

neither direct nor inverse variation

19.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

58.5

20.

Is the given table a direct variation? If so, what is the constant of variation?

Yes; 1/3

Yes; 3

Yes; 5

100 %

Math 9 Quiz #1

Total questions: 20

Worksheet time: 55mins

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