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HSPT Math : Percentages

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Example Questions

Example Question #51 : Percentages

Convert $64.32\%$ into a decimal.

Possible Answers:

0.006432

64.32

0.06432

0.6432

6432

Correct answer:

0.6432

Explanation:

To covert a percent to a decimal, simply remove the percent sign and divide by 100.

$64.32\%= \frac{64.32}{100}=0.6432$

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Example Question #52 : Percentages

What percentage of is ?

Possible Answers:

$40\%$

$160\%$

$62.5\%$

$36.5\%$

$30\%$

Correct answer:

$62.5\%$

Explanation:

Set up an equation that represents this scenario. The question asks what percent of a number is another number. Keep in mind, the percent of a number is over 100.

$\frac{x}{100}(80)= 50$ or $\frac{x}{100}\times \frac{80}{1}=\frac{80x}{100}=50$

We can reduce $\frac{80}{100}$ to $\frac{4}{5}$ by dividing both the numerator and the denominator by

$\frac{4}{5}x = 50$

Now we want to isolate the x by itself. First we multiply each side by

4x=250

Then divide each side by .

$x=\frac{250}{4}= \frac{125}{2}= 0.625 = 62.5\%$

Check: Does $62.5\%$ of equal ?

0.625(80)=50

The correct answer is: $62.5\%$

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Example Question #53 : Percentages

Add the percentages and find the answer in decimal: $3\%+3.5\%+100\%$

Possible Answers:

0.1065

1.065

10.65

7.5%

1.038

Correct answer:

1.065

Explanation:

Add the percentages.

$3\%+3.5\%+100\%= 106.5\%$

To turn the answer into decimal form, simply divide by 100 or move the decimal place back two units to the left and remove the percentage sign.

The answer is: 1.065

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Example Question #54 : Percentages

What is $10\%$ of ?

Possible Answers:

$\frac{1}{10}$

$\frac{1}{2}$

$\frac{1}{5}$

$\frac{1}{50}$

$\frac{1}{20}$

Correct answer:

$\frac{1}{5}$

Explanation:

Rewrite $10\%$ as a fraction.

$10\%= \frac{1}{10}$

Multiply this value with two.

$\frac{1}{10}\times 2 = \frac{1}{5}$

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Example Question #54 : Percentages

Add the percentages: $6\%+20\%+86\%$

Possible Answers:

$11.2\%$

$1.12\%$

0.12

$112\%$

Correct answer:

$112\%$

Explanation:

Add the ones digit.

6+0+6 = 12

The ones digit is two.

Carry over the tens digit since this number is ten or greater.

Add the tens digits with the carryover.

0+2+8+(1) = 11

The hundreds and the tens digit is one.

The answer is: $112\%$

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Example Question #54 : Percentages

What is $6\%$ of ?

Possible Answers:

3.3

$\frac{1}{5}$

1.8

Correct answer:

1.8

Explanation:

Six percent is six out of a hundred parts.

$6\% = \frac{6}{100}$

Multiply this with 30.

$\frac{6}{100}\times 30 = \frac{180}{100} = 1.8$

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Example Question #56 : Percentages

$\textup{What is 10\% of 70?}$

Possible Answers:

$\frac{1}{10}$

$\frac{1}{7}$

Correct answer:

Explanation:

Rewrite $10\%$ as a decimal or fraction.

$10\%=0.1 = \frac{1}{10}$

Multiply either value with .

$\frac{1}{10} (70) = 7$

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Example Question #57 : Percentages

What percentage of is ?

Possible Answers:

$120\%$

$220\%$

$14\%$

$80\%$

$12\%$

Correct answer:

$120\%$

Explanation:

Rewrite the question in parts. A percentage is something out of $100\textup{ parts}$ .

$(\frac{x}{100})(10) = 12$

Solve for .

$(\frac{x}{10})= 12$

$x=120\%$

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

128 is $40\%$ of what number?

Possible Answers:

300

360

$31\frac{1}{4}$

$51 \frac{1}{5}$

320

Correct answer:

320

Explanation:

128 is $40\%$ of a number we will call ; alternatively, 0.40 multiplied by is equal to 128 . Set up this equation and solve for :

0.4 N = 128

$0.4 N \div 0.4 = 128\div 0.4$

N= 320

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Example Question #55 : Percentages

is what percent of 300 ?

Possible Answers:

$37 \%$

$33 \frac{1}{3} \%$

$38 \frac{1}{2} \%$

$25 \frac{2}{3} \%$

$33 \%$

Correct answer:

$25 \frac{2}{3} \%$

Explanation:

Set up the proportion statement, where is our answer, and solve:

$\frac{p}{100} = \frac{77}{300}$

$\frac{p}{100} \cdot 100 = \frac{77}{300} \cdot 100$

$p = \frac{77\cdot 100}{300} = \frac{77}{3} = 25 \frac{2}{3} \%$

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HSPT Math : Percentages

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #51 : Percentages

Example Question #52 : Percentages

Example Question #53 : Percentages

Example Question #54 : Percentages

Example Question #54 : Percentages

Example Question #54 : Percentages

Example Question #56 : Percentages

Example Question #57 : Percentages

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

Example Question #55 : Percentages

All HSPT Math Resources

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