SSAT Upper Level Math : How to find fractional percentages

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

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Example Questions

Example Question #2 : Percentages

What percent of 12,000 is 3,300?

Possible Answers:

26%

25%

28.5%

27.5%

24.5%

Correct answer:

27.5%

Explanation:

To find out what percent a part  is of a whole , evaluate the expression 

 

Example Question #1 : How To Find Fractional Percentages

Convert  into a percent.

Possible Answers:

Correct answer:

Explanation:

First evaluate .

 

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

Example Question #2 : How To Find Fractional Percentages

Which of the following best represents ?

Possible Answers:

Correct answer:

Explanation:

The true value of the percentage  can be converted by dividing .

The correct value of  is .

Example Question #3 : How To Find Fractional Percentages

Convert  into a percent.

Possible Answers:

Correct answer:

Explanation:

To convert a decimal number into a percent, multiply the decimal number by .

Example Question #4 : How To Find Fractional Percentages

Find the sum of .  Express the final answer as a fraction.

Possible Answers:

Correct answer:

Explanation:

Convert the  into fraction form by dividing this by .

Add the two fractions.

First find the common denominator by multiplying the current denominators together.

Now convert each fraction into an equivalent fraction with the new, common denominator.

Example Question #5 : How To Find Fractional Percentages

What percentage of  is ? Round to the nearest hundredth.

Possible Answers:

Correct answer:

Explanation:

Set up a mathematical equation such that the percentage of the number is divided by 100. Solve for the unknown value.

The correct answer is .

Example Question #6 : How To Find Fractional Percentages

Each of a set of balls is marked with a letter of the English alphabet. Each vowel is represented by five balls; each consonant, three. What percent of the balls are marked with vowels? (Nearest whole percent)

Note: For purposes of this problem, "Y" is considered a consonant.

Possible Answers:

Correct answer:

Explanation:

There are five vowels, each represented by five balls; this is a total of

balls with vowels.

There are twenty-one consonants, each represented by three balls; this is a total of 

 

balls with consonants.

There are  balls total of which 25 out of 88 are marked with vowels. This represents 

 

of the balls, so 28% is the correct choice. 

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