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2.09 Working with percentages

Worksheet
Percentages and fractions
1

Express 5\dfrac{1}{2} as a percentage.

2

Express \dfrac{2}{3} as a mixed number percentage.

3

Express \dfrac{4}{9} as an exact percentage value.

4

Express the following fractions as percentages:

a
\dfrac{9}{10}
b
\dfrac{5}{10}
c
\dfrac{3}{4}
d
\dfrac{5}{25}
e
\dfrac{12}{20}
f
\dfrac{10}{25}
g
\dfrac{80}{80}
h
\dfrac{1}{10}
5

Express the following fractions as percentages, rounded to two decimal places:

a
\dfrac{3}{8}
b
\dfrac{9}{22}
c
\dfrac{33}{40}
d
\dfrac{1}{8}
e
\dfrac{7}{40}
f
\dfrac{79}{125}
g
\dfrac{3}{25}
h
\dfrac{123}{250}
Percentage of a quantity
6

Evaluate:

a

25\% of \$12

b

25\% of \$528

c

10\% of \$81

d

10\% of \$892

e

1.5\% of \$426.23

f

3.5\% of \$27\,599

g

49.8\% of \$890

h

18 \dfrac{2}{5}\% of \$8273

7

Evaluate:

a

25\% of 478\text{ pts}

b

60\% of 90\text{ kg}

c

40\% of 25\text{ gal}

d

30\% of 23 \text{ L}

e

28\% of 500 \text{ m}

f

72\% of 5500 \text{ ft}

g

16\% of 4 hours

h

33 \dfrac{1}{3}\% of 96 \text{ mL}

8

There are 30 different colored marbles in a jar.

Find the percentage of marbles, to the nearest whole percentage, that are:

a

Red

b

Blue

c

Green

d

Yellow

Applications
9

For an assignment, Xanthe spent 31 minutes in total on research. This represents 20\% of the total time she spent on the assignment.

a

How many minutes in total did she spend on her assignment?

b

Express the total time taken in hours and minutes.

10

A student survey found that \dfrac{1}{5} of students play Saturday sport, and that \dfrac{3}{5} of students play Sunday sport.

a

What percentage of students play a weekend sport?

b

What percentage of students do not play weekend sport?

11

Rodolfo and Jimmy are spellchecking an article before it is printed. Rodolfo checks \dfrac{3}{5} of the article and Jimmy checks 34\% of the article.

a

What percentage of the article have they checked altogether?

b

What percentage still needs to be checked?

12

Beth was given 20 minutes to solve a Rubik's Cube. She only needed 75\% of the time to finish it. How many minutes did she take?

13

On Monday, Derek had a full tank of 40\text{ L} gas. During the week, Derek used 55\% of the gas. How many liters of gas was used during the week?

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Outcomes

MA.6.AR.3.4

Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.

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