SSAT Middle Level Math : Percentage

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

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Example Questions

Example Question #11 : Percentage

What is 220% of 0.00022?

Possible Answers:

\displaystyle 0.000001

\displaystyle 1,000,000

\displaystyle 0.00484

\displaystyle 0.000484

\displaystyle 0.0484

Correct answer:

\displaystyle 0.000484

Explanation:

220% of a number is 2.2 multiplied by that number, so 220% of 0.00022 is equal to

\displaystyle 2.2 \times 0.00022 = 0.000484.

 

Example Question #12 : Percentage

What is 3.33% percent of 3.33?

Possible Answers:

\displaystyle 1

\displaystyle 1.10889

\displaystyle 100

\displaystyle 0.0110889

\displaystyle 0.110889

Correct answer:

\displaystyle 0.110889

Explanation:

Taking 3.33% percent of a number is the same as multiplying it by 0.0333, so 3.33% percent of 3.33 is equal to

\displaystyle 0.0333 \times 3.33 = 0.110889.

Example Question #13 : Percentage

Pie_graph

Refer to the above graph. If there were \displaystyle 20,566 registered voters in Smith County in \displaystyle 2009, how many voters were not registered as Republicans  (nearest whole number)?

Possible Answers:

\displaystyle 15,013

\displaystyle 15,425

\displaystyle 5,142

\displaystyle 6,787

\displaystyle 8,226

Correct answer:

\displaystyle 15,425

Explanation:

\displaystyle 25\% of the voters were registered as Republicans, so the rest - \displaystyle 75\% - were not. Therefore, we want to calculate \displaystyle 75\% of \displaystyle 20,566, or, equivalently, 

\displaystyle 20,566 \times 0.75 = 15,424.5

which, to the nearest whole number, rounds to \displaystyle 15,425 voters

Example Question #581 : Concepts

What is \displaystyle 60\% of \displaystyle 90?

Possible Answers:

\displaystyle 45

\displaystyle 25

\displaystyle 36

\displaystyle 54

\displaystyle 60

Correct answer:

\displaystyle 54

Explanation:

One way to figure out what number is a percentage of a larger number is to convert the percent into a decimal and multiply it by the whole number. Since \displaystyle 60\% is equal to \displaystyle 0.60, multiply this by \displaystyle 90.

\displaystyle 90 \times 0.60=54

\displaystyle 54 is your answer.

 

Example Question #13 : Percentage

What is \displaystyle 125\% of \displaystyle 125?

Possible Answers:

\displaystyle 132.5

\displaystyle 150

\displaystyle 100

\displaystyle 156.25

\displaystyle 137.5

Correct answer:

\displaystyle 156.25

Explanation:

Rewrite \displaystyle 125\% as a decimal by writing \displaystyle 125 with a decimal point, then shifting it two spaces left:

\displaystyle 125.0\% = 1.25

Multiply this by \displaystyle 125:

\displaystyle 125 \times 1.25 = 156.25

Example Question #1351 : Numbers And Operations

Jill, Jack, and Mark all own equal stock in a company totaling \displaystyle 90%.  They each give Larry \displaystyle 5% and after Larry bought the remaining stock. Larry now believes he owns \displaystyle 20%.  Is this true or false?

Possible Answers:

False

True

Correct answer:

False

Explanation:

Larry bought the remaining stock which was \displaystyle 10\displaystyle 100-90=10.  Then was given \displaystyle 5% by three different individuals \displaystyle (5*3=15).  Larry then owned \displaystyle 25\displaystyle (10+15=25) not \displaystyle 30%

Example Question #15 : Percentage

\displaystyle 12 is what percent of \displaystyle 25

Possible Answers:

\displaystyle 48\%

\displaystyle 12\%

\displaystyle 40\%

\displaystyle 50\%

Correct answer:

\displaystyle 48\%

Explanation:

In order to convert numbers to a percent, it is easiest to set up a ratio. 

We know that percent is just per-cent or per-100, another way to write this is to divide the number by 100. 

We would set up the ratio below with x being the number we are looking for: 

\displaystyle \frac{x}{100}=\frac{12}{25}

Now we cross multiply 25 times x and 12 times 100 to get: 

\displaystyle 25x=1200

Dividing both sides by 25 will give us the percent. 

\displaystyle \frac{25x}{25}=\frac{1200}{25}

On the left side the 25's will cancel to give us x, on the right side we may need to do some long division to eventually find that 1200/25 = 48.

Example Question #1352 : Numbers And Operations

Circle 1

Refer to the above figure, which is a circle divided into portions of equal size. 

How many more portions must be shaded in if 75% of the entire circle is to be shaded in?

Possible Answers:

\displaystyle 9

\displaystyle 5

\displaystyle 3

\displaystyle 7

Correct answer:

\displaystyle 7

Explanation:

The circle is divided into 16 portions; 75% of this is

\displaystyle 16 \times 75 \% = 16\times 0.75= 12 squares.

5 portions are already shaded in, so it is necessary to shade in

\displaystyle 12- 5 = 7 more portions.

Example Question #15 : How To Find The Part From The Whole With Percentage

Rectangle 1

Refer to the above figure, which is a rectangle divided into squares of equal size. 

How many more squares must be shaded in if 60% of the entire rectangle is to be shaded in?

Possible Answers:

\displaystyle 4

\displaystyle 6

\displaystyle 5

\displaystyle 7

Correct answer:

\displaystyle 5

Explanation:

The rectangle is divided into 20 squares; 60% of this is

\displaystyle 20 \times 60 \% = 20 \times 0.60 = 12 squares.

7 squares are already shaded in, so it is necessary to shade in

\displaystyle 12 - 7 = 5 more squares.

Example Question #1353 : Numbers And Operations

What is 63% of 300 ? 

Possible Answers:

\displaystyle 189

\displaystyle 237

\displaystyle 215

\displaystyle 163

\displaystyle 254

Correct answer:

\displaystyle 189

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  So, we get

\displaystyle 63\% \cdot 300

 

\displaystyle \frac{63}{100} \cdot 300

 

\displaystyle \frac{63}{100} \cdot \frac{300}{1}

 

Now, the zeros can cancel out.  So, we get

 

\displaystyle \frac{63}{1} \cdot \frac{3}{1}

 

\displaystyle \frac{63 \cdot 3}{1 \cdot 1}

 

\displaystyle \frac{189}{1}

 

\displaystyle 189

 

Therefore, 63% of 300 is 189.

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