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SSAT Upper Level Math : Number Concepts and Operations

Study concepts, example questions & explanations for SSAT Upper Level Math

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #421 : Fractions

What is $94.6\%$ as a fraction?

Possible Answers:

$\frac{19}{20}$

$\frac{473}{1000}$

$\frac{1}{95}$

$\frac{473}{500}$

Correct answer:

$\frac{473}{500}$

Explanation:

Put the number over 100 and drop the percent sign.

$94.6\%=\frac{94.6}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{94.6\times10}{100\times10}=\frac{946}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{946}{1000}=\frac{473}{500}$

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Example Question #8 : How To Find A Fraction From A Percentage

What is $32.9\%$ as a fraction?

Possible Answers:

$\frac{8}{25}$

$\frac{329}{1000}$

$\frac{329}{100}$

$\frac{16}{25}$

Correct answer:

$\frac{329}{1000}$

Explanation:

Put the number over 100 and drop the percent sign.

$32.9\%=\frac{32.9}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{32.9\times10}{100\times10}=\frac{329}{1000}$

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Example Question #9 : How To Find A Fraction From A Percentage

What is $58.4\%$ as a fraction?

Possible Answers:

$\frac{29}{50}$

$\frac{73}{125}$

$\frac{583}{1000}$

$\frac{4}{5}$

Correct answer:

$\frac{73}{125}$

Explanation:

Put the number over 100 and drop the percent sign.

$58.4\%=\frac{58.4}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{58.4\times10}{100\times10}=\frac{584}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{584}{1000}=\frac{73}{125}$

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Example Question #481 : Number Concepts And Operations

What is $24.2\%$ as a fraction?

Possible Answers:

$\frac{121}{50}$

$\frac{119}{500}$

$\frac{6}{25}$

$\frac{121}{500}$

Correct answer:

$\frac{121}{500}$

Explanation:

Put the number over 100 and drop the percent sign.

$24.2\%=\frac{24.2}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{24.2\times10}{100\times10}=\frac{242}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{242}{1000}=\frac{121}{500}$

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Example Question #482 : Number Concepts And Operations

What is $65.8\%$ as a fraction?

Possible Answers:

$\frac{6}{47}$

$\frac{329}{1000}$

$\frac{9}{14}$

$\frac{329}{500}$

Correct answer:

$\frac{329}{500}$

Explanation:

Put the number over 100 and drop the percent sign.

$65.8\%=\frac{65.8}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{65.8\times10}{100\times10}=\frac{658}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{658}{1000}=\frac{329}{500}$

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Example Question #483 : Number Concepts And Operations

What is $33.6\%$ as a fraction?

Possible Answers:

$\frac{336}{701}$

$\frac{84}{25}$

$\frac{42}{125}$

$\frac{1}{3}$

Correct answer:

$\frac{42}{125}$

Explanation:

Put the number over 100 and drop the percent sign.

$33.6\%=\frac{33.6}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{33.6\times10}{100\times10}=\frac{336}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{336}{1000}=\frac{42}{125}$

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Example Question #3 : Percentages

What percent of 12,000 is 3,300?

Possible Answers:

28.5%

25%

27.5%

24.5%

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 #481 : Number Concepts And Operations

Convert 0.47+0.25 into a percent.

Possible Answers:

$72\%$

$0.72\%$

0.72

$7.2\%$

$720\%$

Correct answer:

$72\%$

Explanation:

First evaluate 0.47+0.25 .

0.47+0.25=0.72

To convert a decimal to a percentage, multiply by 100 percent.

$0.72(100\%)=72\%$

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Example Question #3 : How To Find Fractional Percentages

Which of the following best represents $\frac{1}{6}\%$ ?

Possible Answers:

0.017

0.0017

0.17

1.7

Correct answer:

0.0017

Explanation:

The true value of the percentage $\frac{1}{6}\%$ can be converted by dividing $100\%$ .

The correct value of $\frac{1}{6}\%$ is $\frac{1}{600}$ .

$\frac{1}{600}= 0.001\overline{6}=0.0017$

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Example Question #482 : Number Concepts And Operations

Convert 0.041 into a percent.

Possible Answers:

$\frac{4.1}{100}\%$

$0.00041\%$

$4.1\%$

$0.41\%$

$410\%$

Correct answer:

$4.1\%$

Explanation:

To convert a decimal number into a percent, multiply the decimal number by $100\%$ .

$0.041(100\%)=4.1\%$

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

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SSAT Upper Level Math : Number Concepts and Operations

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #421 : Fractions

Example Question #8 : How To Find A Fraction From A Percentage

Example Question #9 : How To Find A Fraction From A Percentage

Example Question #481 : Number Concepts And Operations

Example Question #482 : Number Concepts And Operations

Example Question #483 : Number Concepts And Operations

Example Question #3 : Percentages

Example Question #481 : Number Concepts And Operations

Example Question #3 : How To Find Fractional Percentages

Example Question #482 : Number Concepts And Operations

All SSAT Upper Level Math Resources

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