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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 #3 : Fractions And Percentage

In a class of students, of them said they have a brother. What percentage of the class has a brother?

Possible Answers:

$62.5\%$

$6.52\%$

$55.5\%$

$12\%$

Correct answer:

$62.5\%$

Explanation:

The question is asking you to convert $\frac{15}{24}$ to a percent.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{15}{24}=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of 100 .

24x=1500

$x=\frac{1500}{24}=62.5$

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Example Question #471 : Number Concepts And Operations

In a group of athletes, stated that they received at least some form of injury in the past year. What percentage of the athletes received some form of injury in the past year?

Possible Answers:

$60\%$

$6\%$

$66\%$

$40\%$

Correct answer:

$60\%$

Explanation:

The question is asking you to find the percentage equivalent of $\frac{18}{30}$ .

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{18}{30}=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of 100 .

30x=1800

$x=\frac{1800}{30}=60$

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Example Question #472 : Number Concepts And Operations

In a high school with 120 students, of the students are freshmen. What percentage of the school population is freshmen?

Possible Answers:

$37.5\%$

$38\%$

$3.75\%$

$40\%$

Correct answer:

$37.5\%$

Explanation:

The question is asking you to find the percentage equivalent of $\frac{45}{120}$ .

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{45}{120}=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of 100 .

120x=4500

$x=\frac{4500}{120}=37.5$

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Example Question #2 : Percentages

Which of the following operations is equivalent to taking of a number?

Possible Answers:

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Dividing the number by

Moving the decimal point one place to the left, then tripling the result

Correct answer:

Dividing the number by

Explanation:

Let's just pick a number at random, for example 100 .

of this number is , which is 100 divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by 100 .

$=\frac{25}{100}$

We can simplify this fraction: $\frac{25}{100}=\frac{5}{20}=\frac{1}{4}$ .

Either way, we get the same answer.

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Example Question #472 : Number Concepts And Operations

Convert $14\%$ into a fraction.

Possible Answers:

$\frac{7}{25}$

$\frac{1}{14}$

$\frac{1}{7}$

$\frac{7}{50}$

Correct answer:

$\frac{7}{50}$

Explanation:

Put the number over 100 and drop the percent sign. Then, reduce to simplest form.

$14\%=\frac{14}{100}=\frac{7}{50}$

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Example Question #473 : Number Concepts And Operations

Convert $23\%$ into a fraction.

Possible Answers:

$\frac{1}{5}$

$\frac{1}{23}$

$\frac{23}{100}$

$\frac{23}{50}$

Correct answer:

$\frac{23}{100}$

Explanation:

Put the number over 100 and drop the percent sign. Then, reduce to simplest form.

$23\%=\frac{23}{100}$

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Example Question #474 : Number Concepts And Operations

Convert $62\%$ into a fraction.

Possible Answers:

$\frac{31}{40}$

$\frac{1}{62}$

$\frac{31}{50}$

$\frac{3}{5}$

Correct answer:

$\frac{31}{50}$

Explanation:

Put the number over 100 and drop the percent sign. Then, reduce to simplest form.

$62\%=\frac{62}{100}=\frac{31}{50}$

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Example Question #4 : How To Find A Fraction From A Percentage

What is $14.5\%$ as a fraction?

Possible Answers:

$\frac{145}{100}$

$\frac{29}{200}$

$\frac{1}{14}$

Correct answer:

$\frac{29}{200}$

Explanation:

Put the number over 100 and drop the percent sign.

$14.5\%=\frac{14.5}{100}$

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

$\frac{14.5\times10}{100\times10}=\frac{145}{1000}$

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

$\frac{145}{1000}=\frac{29}{200}$

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Example Question #476 : Number Concepts And Operations

What is $87.4\%$ as a fraction?

Possible Answers:

$\frac{439}{500}$

$\frac{1}{87}$

$\frac{437}{500}$

$\frac{4}{5}$

Correct answer:

$\frac{437}{500}$

Explanation:

Put the number over 100 and drop the percent sign.

$87.4\%=\frac{87.4}{100}$

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

$\frac{87.4\times10}{100\times10}=\frac{874}{1000}$

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

$\frac{874}{1000}=\frac{437}{500}$

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Example Question #6 : How To Find A Fraction From A Percentage

What is $25.6\%$ as a fraction?

Possible Answers:

$\frac{1}{4}$

$\frac{32}{125}$

$\frac{64}{25}$

$\frac{64}{125}$

Correct answer:

$\frac{32}{125}$

Explanation:

Put the number over 100 and drop the percent sign.

$25.6\%=\frac{25.6}{100}$

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

$\frac{25.6\times10}{100\times10}=\frac{256}{1000}$

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

$\frac{256}{1000}=\frac{32}{125}$

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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 #3 : Fractions And Percentage

Example Question #471 : Number Concepts And Operations

Example Question #472 : Number Concepts And Operations

Example Question #2 : Percentages

Example Question #472 : Number Concepts And Operations

Example Question #473 : Number Concepts And Operations

Example Question #474 : Number Concepts And Operations

Example Question #4 : How To Find A Fraction From A Percentage

Example Question #476 : Number Concepts And Operations

Example Question #6 : How To Find A Fraction From A Percentage

All SSAT Upper Level Math Resources

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