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HSPT Math : Concepts

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Example Questions

Example Question #571 : Concepts

32 is $2 \frac{1}{2}$ % of what number?

Possible Answers:

800

128

1,280

$\frac{4}{5}$

$7\frac{7}{8}$

Correct answer:

1,280

Explanation:

We can rewrite $2 \frac{1}{2}$ % as 2.5%. 32 is 2.5% of a number , or, equivalently, 0.025 multiplied by a number is equal to 32. We can write this as an equation and solve for :

0.025 N = 32

$0.025 N \div 0.025 = 32 \div 0.025$

N = 1,280

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Example Question #572 : Concepts

3,200 is 160% of what number?

Possible Answers:

5,120

2,000

$2,133\frac{1}{3}$

2,400

3,040

Correct answer:

2,000

Explanation:

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

$\frac{3,200}{N}= \frac{160}{100}$

$N \cdot 160 = 3,200 \cdot 100 = 320,000$

$N \cdot 160 \div 160 = 320,000\div 160$

N = 2,000

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Example Question #573 : Concepts

12 is $\frac{3}{4} \%$ of what number?

Possible Answers:

900

$\frac{9}{100}$

1,600

Correct answer:

1,600

Explanation:

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

$\frac{12}{N } = \frac{\frac{3}{4}}{100}$

$\frac{3}{4} \cdot N = 12 \cdot 100 = 1,200$

$\frac{4}{3} \cdot \frac{3}{4} \cdot N = \frac{4}{3} \cdot 1,200$

$N = \frac{4,800}{3} =1,600$

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Example Question #574 : Concepts

Convert $64.32\%$ into a decimal.

Possible Answers:

64.32

0.06432

0.006432

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 #575 : Concepts

What percentage of is ?

Possible Answers:

$30\%$

$62.5\%$

$40\%$

$160\%$

$36.5\%$

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 #576 : Concepts

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

Possible Answers:

1.038

1.065

7.5%

10.65

0.1065

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 #574 : Concepts

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

Possible Answers:

$112\%$

$11.2\%$

$1.12\%$

0.12

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 #577 : Concepts

What is $6\%$ of ?

Possible Answers:

1.8

3.3

$\frac{1}{5}$

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 #576 : Concepts

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

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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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #571 : Concepts

Example Question #572 : Concepts

Example Question #573 : Concepts

Example Question #574 : Concepts

Example Question #575 : Concepts

Example Question #576 : Concepts

Example Question #54 : Percentages

Example Question #574 : Concepts

Example Question #577 : Concepts

Example Question #576 : Concepts

All HSPT Math Resources

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