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HSPT Math : Percentages

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

420 is 150% of what number?

Possible Answers:

300

630

840

280

210

Correct answer:

280

Explanation:

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

$\frac{420}{N}= \frac{150}{100}$

$N \cdot 150 = 420 \cdot 100 = 42,000$

$N \cdot 150 \div 150 = 42,000 \div 150$

N = 280

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

70 is $\frac{1}{5} \%$ of what number?

Possible Answers:

35,000

$\frac{7}{50}$

14,000

350

Correct answer:

35,000

Explanation:

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

$\frac{70}{N } = \frac{\frac{1}{5}}{100}$

$N \cdot \frac{1}{5}=70 \cdot 100 = 7,000$

$N \cdot \frac{1}{5} \cdot 5 = 7,000 \cdot 5$

N= 35,000

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Example Question #2 : How To Find The Whole From The Part With Percentage

24 is 25% of what number?

Possible Answers:

100

Correct answer:

Explanation:

$24=25\%\cdot c$

Think is $b\%$ of .

So:

24=a and 25=b .

We have:

$\frac{24}{0.25}=c\Rightarrow c=96$

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Example Question #31 : Percentages

Write 132% as a fraction in simplest form.

Possible Answers:

$\frac{33}{25}$

$\frac{37}{25}$

$\frac{27}{20}$

$\frac{23}{20}$

$\frac{31}{25}$

Correct answer:

$\frac{33}{25}$

Explanation:

Write as a fraction over 100, and simplify:

$\frac{132}{100} = \frac{132\div 4}{100\div 4} = \frac{33}{25}$

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Example Question #32 : Percentages

Write $\frac{24}{25}$ as a percent.

Possible Answers:

Correct answer:

Explanation:

Multiply by 100, and simplify:

$\frac{24}{25} \times 100 = \frac{24}{25} \times \frac{100}{1} = \frac{24}{1} \times \frac{4}{1} =\frac{ 96}{1}=96$

The correct choice is 96%.

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Example Question #4 : How To Find Percentage

What percentage of is ?

Possible Answers:

$30\%$

$20\%$

$25\%$

$4\%$

$500\%$

Correct answer:

$4\%$

Explanation:

To find the percentage, first write the values as a fraction, then convert the fraction's denominator to 100 . We can write the given values as $\frac{2}{50}$ , which can be converted to $\frac{4}{100}$ by multiplying both the numerator and denominator by . $\frac{4}{100}$ is equivalent to $4\%$ .

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Example Question #33 : Percentages

What is 250% of 750?

Possible Answers:

2,250

2,125

1,750

2,000

1,875

Correct answer:

1,875

Explanation:

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

$750 \cdot 2.5 = 1,875$

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Example Question #34 : Percentages

What is 30% of 150?

Possible Answers:

165

Correct answer:

Explanation:

One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:

30% = 0.30

Then, multiply this number times 150:

$150 \times 0.30 = 45$

Your answer is .

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Example Question #35 : Percentages

If is $30\%$ of , what is $40\%$ of ?

Possible Answers:

400

180

1800

Correct answer:

Explanation:

We can solve for with the algebraic equation:

$0.3\cdot x=60$

$x=\frac{60}{0.3}$

x=200

We can then calculate $40\%$ of :

$0.4\cdot200=80$

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Example Question #561 : Concepts

What is $40\%$ of ?

Possible Answers:

320

200

Correct answer:

Explanation:

We can convert $40\%$ to $\frac{40}{100}$ or 0.4 . We can then calculate $0.4\cdot 80=32$ .

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HSPT Math : Percentages

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

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

Example Question #2 : How To Find The Whole From The Part With Percentage

Example Question #31 : Percentages

Example Question #32 : Percentages

Example Question #4 : How To Find Percentage

Example Question #33 : Percentages

Example Question #34 : Percentages

Example Question #35 : Percentages

Example Question #561 : Concepts

All HSPT Math Resources

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