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

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Example Question #5 : How To Work With Percentages

The sales tax rate for a particular locality is 9%. How much will be paid after tax for $154.92 worth of groceries?

Possible Answers:

Correct answer:

Explanation:

Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.

Tax: 

Price after tax: 

Example Question #1 : How To Find The Part From The Whole With Percentage

What is 250% of 750?

Possible Answers:

Correct answer:

Explanation:

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

Example Question #2 : How To Find The Part From The Whole With Percentage

The product of two whole numbers is 12. Their difference could be

Possible Answers:

Correct answer:

Explanation:

The first thing to do is to determine what two numbers multiply to give you 12.

1 and 12

2 and 6

3 and 4

Now find the difference between each of those pairs. 

The difference could be 1, 4, or 11.  Only 4 is an answer choice.

Example Question #3 : How To Find The Part From The Whole With Percentage

What is 30% of 150?

Possible Answers:

Correct answer:

Explanation:

One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:

30% = 0.30

Then, multiply this number times 150:

Your answer is .

Example Question #4 : How To Find The Part From The Whole With Percentage

If  is  of , what is  of ?

Possible Answers:

Correct answer:

Explanation:

We can solve for  with the algebraic equation:

We can then calculate  of :

Example Question #5 : How To Find The Part From The Whole With Percentage

What is  of ?

Possible Answers:

Correct answer:

Explanation:

We can convert  to  or . We can then calculate .

Example Question #6 : How To Work With Percentages

Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases. 

If Susan wants to by a shirt originally priced at $42, how much will she pay?

Possible Answers:

$18.90

$16.50

$37.80

$21.00

$20.00

Correct answer:

$18.90

Explanation:

The storewide sale discounts the shirt by 50%:

Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:

 

Example Question #6 : How To Find The Part From The Whole With Percentage

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

 of   can be rewritten as 

Example Question #7 : How To Find The Part From The Whole With Percentage

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

  of  is equal to:

Cross-cancel:

Example Question #8 : How To Find The Part From The Whole With Percentage

What is 8,000% of 9,000?

Possible Answers:

Correct answer:

Explanation:

Taking 8,000%, as a decimal, is equivalent to multiplying it by , so 8,000% of 9,000 is equivalent to 

.

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