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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 #65 : Extend Understanding Of Fraction Equivalence And Ordering

Select the sign to correctly fill in the blank:

$\frac{3}{8}$ __________ $\frac{2}{6}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{3}{8}\times\frac{3}{3}=\frac{9}{24}$

$\frac{2}{6}\times\frac{4}{4}=\frac{8}{24}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{3}{8}>\frac{2}{6}$

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Example Question #1 : How To Find Percentage From A Fraction

Convert $\frac{7}{9}$ to a percent.

Possible Answers:

$77.8\%$

$0.78\%$

$80\%$

$76\%$

Correct answer:

$77.8\%$

Explanation:

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

$\frac{7}{9}=\frac{x}{100}$

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 .

9x=700

$x=\frac{700}{9}=77.8$

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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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All SSAT Upper Level Math Resources

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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 #65 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #1 : How To Find Percentage From A Fraction

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

All SSAT Upper Level Math Resources

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