SSAT Middle Level Math : How to find the part from the whole with 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:

Correct answer:

Explanation:

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

.

 

Example Question #561 : Concepts

What is 3.33% percent of 3.33?

Possible Answers:

Correct answer:

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

.

Example Question #11 : How To Find The Part From The Whole With Percentage

Pie_graph

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

Possible Answers:

Correct answer:

Explanation:

 of the voters were registered as Republicans, so the rest -  - were not. Therefore, we want to calculate  of , or, equivalently, 

which, to the nearest whole number, rounds to  voters

Example Question #11 : Percentage

What is  of ?

Possible Answers:

Correct answer:

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  is equal to , multiply this by .

 is your answer.

 

Example Question #61 : Percentages

What is  of ?

Possible Answers:

Correct answer:

Explanation:

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

Multiply this by :

Example Question #11 : Percentage

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

Possible Answers:

False

True

Correct answer:

False

Explanation:

Larry bought the remaining stock which was .  Then was given % by three different individuals .  Larry then owned  not %

Example Question #11 : Percentage

 is what percent of

Possible Answers:

Correct answer:

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: 

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

Dividing both sides by 25 will give us the percent. 

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 #11 : Percentage

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:

Correct answer:

Explanation:

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

 squares.

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

 more portions.

Example Question #11 : 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:

Correct answer:

Explanation:

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

 squares.

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

 more squares.

Example Question #11 : Percentage

What is 63% of 300 ? 

Possible Answers:

Correct answer:

Explanation:

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

 

 

 

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

 

 

 

 

 

Therefore, 63% of 300 is 189.

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