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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : Percentages

is $12.5\%$ of what number?

Possible Answers:

480

520

500

420

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 #3 : Percentages

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 #1121 : Hspt Mathematics

75 is 60% of what number?

Possible Answers:

125

150

105

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 #4 : Percentages

What is 120% of 120?

Possible Answers:

140

150

124

144

125

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 #5 : Percentages

What is 225% of 225?

Possible Answers:

100

506.25

450

281.25

562.5

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 #8 : Percentages

What is 77% of 77?

Possible Answers:

53.9

59.29

100

49.49

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 #6 : 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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Example Question #1121 : Hspt Mathematics

What is 40% of $\frac{2}{5}$ ?

Possible Answers:

$\frac{4}{25}$

$\frac{1}{25}$

$\frac{8}{25}$

$\frac{2}{25}$

Correct answer:

$\frac{4}{25}$

Explanation:

Set up the percent proportion, where is the part:

$\frac{N}{(\frac{2}{5})} = \frac{40}{100}$

Solve for , rewriting as follows:

$N \div \frac{2}{5} = \frac{40\div 20}{100\div 20}$

$N \cdot \frac{5}{2} = \frac{2}{5}$

$N \cdot \frac{5}{2} \div \frac{5}{2} = \frac{2}{5} \div \frac{5}{2}$

$N = \frac{2}{5} \cdot \frac{2} {5} = \frac{4}{25}$

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Example Question #202 : Percentage

How much would a $\$30$ product sold for $20\%$ off cost?

Possible Answers:

$\$25$

$\$24$

$\$36$

$\$20$

Correct answer:

$\$24$

Explanation:

First, find $20\%$ of $\$30$ :

$0.2\cdot \$30=\$6$

Then, subtract this value from the whole:

$\$30-\$6=\$24$

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Example Question #203 : Percentage

How much would a $\$110$ product sold for $10\%$ off cost?

Possible Answers:

$\$99$

$\$100$

$\$10$

$\$11$

Correct answer:

$\$99$

Explanation:

First, find $10\%$ of $\$110$ :

$0.1\cdot \$110=\$11$

Then, subtract this value from the whole:

$\$110-\$11=\$99$

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #4 : Percentages

Example Question #3 : Percentages

Example Question #1121 : Hspt Mathematics

Example Question #4 : Percentages

Example Question #5 : Percentages

Example Question #8 : Percentages

Example Question #6 : Percentages

Example Question #1121 : Hspt Mathematics

Example Question #202 : Percentage

Example Question #203 : Percentage

All HSPT Math Resources

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