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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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 #1 : Fractions And Percentage

In a classroom, out of students own dogs. What percent of the class owns a dog?

Possible Answers:

$85.1\%$

$0.81\%$

$1.18\%$

$81.8\%$

Correct answer:

$81.8\%$

Explanation:

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

$\frac{9}{11}=\frac{x}{100}$

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 .

11x=900

$x=\frac{900}{11}=81.8$

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Example Question #3 : How To Find Percentage From A Fraction

$\frac{6}{13}$ of Julian's songs are rock songs. What percentage of his songs are rock songs?

Possible Answers:

$0.462\%$

$47.2\%$

$46.2\%$

$49\%$

Correct answer:

$46.2\%$

Explanation:

This question wants you to find the percentage equivalent of $\frac{6}{13}$ .

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

$\frac{6}{13}=\frac{x}{100}$

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 .

13x=600

$x=\frac{600}{13}=46.2$

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Example Question #2 : How To Find Percentage From A Fraction

Out of all of Ambrose's computer games, $\frac{5}{8}$ are simulation games. What percentage of Ambrose's games are simulation games?

Possible Answers:

$0.625\%$

$68.4\%$

$42.5\%$

$62.5\%$

Correct answer:

$62.5\%$

Explanation:

This question is asking you to convert $\frac{5}{8}$ into a percent.

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

$\frac{5}{8}=\frac{x}{100}$

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 .

8x=500

$x=\frac{500}{8}=62.5$

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Example Question #3 : How To Find Percentage From A Fraction

Convert $\frac{15}{22}$ into a percentage.

Possible Answers:

$68.2\%$

$0.682\%$

$72.8\%$

$6.82\%$

Correct answer:

$68.2\%$

Explanation:

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

$\frac{15}{22}=\frac{x}{100}$

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 .

22x=1500

$x=\frac{1500}{22}=68.2$

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

Express $\frac{5}{6}$ as a percentage.

Possible Answers:

$8.33\%$

$83.3\%$

$8.12\%$

$82.5\%$

Correct answer:

$83.3\%$

Explanation:

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

$\frac{5}{6}=\frac{x}{100}$

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 .

6x=500

$x=\frac{500}{6}=83.3$

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Example Question #401 : Rational Numbers

In a poll, out of people claimed that chocolate cake was their favorite dessert. What percentage of people said chocolate cake was their favorite dessert?

Possible Answers:

$35.7\%$

$37.5\%$

$2.75\%$

$32.9\%$

Correct answer:

$37.5\%$

Explanation:

The question is asking you to convert $\frac{3}{8}$ into a percentage.

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

$\frac{3}{8}=\frac{x}{100}$

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 .

8x=300

$x=\frac{300}{8}=37.5$

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Example Question #1 : Fractions And Percentage

In a survey, out of people said that their favorite sport was ice hockey. What percent of respondents' favorite sport is ice hockey?

Possible Answers:

$75\%$

$90\%$

$8\%$

$80\%$

Correct answer:

$80\%$

Explanation:

The question is asking you to convert $\frac{12}{15}$ into a percent.

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

$\frac{12}{15}=\frac{x}{100}$

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 .

15x=1200

$x=\frac{1200}{15}=80$

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Example Question #2 : Fractions And Percentage

In a poll of students, of them said math was their favorite subject. What percentage of students claimed math was their favorite subject?

Possible Answers:

$9\%$

$70\%$

$95\%$

$90\%$

Correct answer:

$90\%$

Explanation:

The question is asking you to convert the fraction $\frac{45}{50}$ into a percentage.

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

$\frac{45}{50}=\frac{x}{100}$

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 .

50x=4500

$x=\frac{4500}{50}=90$

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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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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Fractions And Percentage

Example Question #3 : How To Find Percentage From A Fraction

Example Question #2 : How To Find Percentage From A Fraction

Example Question #3 : How To Find Percentage From A Fraction

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

Example Question #401 : Rational Numbers

Example Question #1 : Fractions And Percentage

Example Question #2 : Fractions And Percentage

Example Question #3 : Fractions And Percentage

Example Question #471 : Number Concepts And Operations

All SSAT Upper Level Math Resources

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