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HSPT Math : Percentages

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Example Question #1 : Percentages

What is 32% of 2,000?

Possible Answers:

800

640

160

1,600

Correct answer:

640

Explanation:

Taking 32% of a number is the same as multiplying that number by 0.32. We therefore take the product:

$0.32 \cdot 2,000 = 640$

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Example Question #1 : How To Find A Fraction From A Percentage

Which of the following operations is equivalent to taking of a number?

Possible Answers:

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Dividing the number by

Correct answer:

Dividing the number by

Explanation:

Let's just pick a number at random, for example 100 .

of this number is , which is 100 divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by 100 .

$=\frac{25}{100}$

We can simplify this fraction: $\frac{25}{100}=\frac{5}{20}=\frac{1}{4}$ .

Either way, we get the same answer.

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Example Question #1 : Percentages

What percent of 12,000 is 3,300?

Possible Answers:

24.5%

25%

28.5%

27.5%

26%

Correct answer:

27.5%

Explanation:

To find out what percent a part is of a whole , evaluate the expression

$\frac{P}{W} \cdot 100 = \frac{3,300}{12,000} \cdot 100 = 27.5$

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Example Question #1 : How To Find The Part From The Whole With Percentage

is $12.5\%$ of what number?

Possible Answers:

420

520

480

500

530

Correct answer:

520

Explanation:

If is $12.5\%$ of a number, , then we can set up an equation. First, we convert $12.5\%$ to a decimal, 0.125 . Then, we can formulate the equation below.

65 = 0.125N

Solve for by dividing both sides of the equation by 0.125 .

$\frac{0.125N}{0.125}=\frac{65}{0.125}$

N = 520

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Example Question #1 : How To Find The Part From The Whole With Percentage

Which is larger?

a. 10% of 90

b. 5% of 160

c. 20% of 50

d. 30% of 40

Possible Answers:

Correct answer:

Explanation:

First find the percentage amount for each choice by multiplying the number by the percentage amount

a. $90\ast .10=9$

b. $160\ast .5=8$

c. $50\ast .20=10$

d. $40 \ast .30= 12$

Then compare the amounts to find the largest.

The answer is (d) 12.

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Example Question #1 : How To Find The Part From The Whole With Percentage

75 is 60% of what number?

Possible Answers:

150

105

125

Correct answer:

125

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{75}{N}= \frac{60}{100}$

$N \cdot 60 = 75 \cdot 100 = 7,500$

$N \cdot 60 \div 60 = 7,500\div 60$

N = 125

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Example Question #1 : How To Find The Part From The Whole With Percentage

What is 120% of 120?

Possible Answers:

125

144

150

140

124

Correct answer:

144

Explanation:

Rewrite 120% as a decimal by writing 120 with a decimal point, then shifting it two spaces left:

$120.0\% = 1.20 = 1.2$

Multiply this by 120:

$120 \times 1.2 = 144$

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Example Question #191 : Percentage

What is 225% of 225?

Possible Answers:

100

562.5

506.25

281.25

450

Correct answer:

506.25

Explanation:

Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:

$225.0\% = 2.25$

Multiply this by 225:

$225 \times 2.25= 506.25$

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Example Question #1 : Percentages

What is 77% of 77?

Possible Answers:

53.9

59.29

49.49

100

Correct answer:

59.29

Explanation:

Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:

$77.0\% = 0.77$

Multiply this by 77:

$77 \times 0.77 = 59.29$

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Example Question #2 : Percentages

What is $\frac{1}{6} \%$ of 3,000?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion, as follows:

$\frac{N}{3,000} = \frac{\frac{1}{6}}{100}$

Solve for by cross-mutiplying:

$100 \cdot N = \frac{1}{6} \cdot 3,000$

$100 \cdot N = \frac{1}{6} \cdot\frac{ 3,000}{1}$

$100 \cdot N = 500$

$100 \cdot N \div 100 = 500 \div 100$

N = 5

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HSPT Math : Percentages

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #1 : Percentages

Example Question #1 : How To Find A Fraction From A Percentage

Example Question #1 : Percentages

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #191 : Percentage

Example Question #1 : Percentages

Example Question #2 : Percentages

All HSPT Math Resources

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