ISEE Middle Level Math : Percentage

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

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Example Questions

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

Pie_graph

Refer to the above graph. If there were 17,856 registered voters in Smith County in 2009, how many voters were registered as neither Republicans nor Democrats (nearest whole number)?

Possible Answers:

Correct answer:

Explanation:

2% of the voters were registered as members of other parties, and 40% were unaffiliated, so we want to calculate 42% of 17,856, or, equivalently, 

which, to the nearest whole number, rounds to 7,500 voters.

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

240 is 30% of what number?

Possible Answers:

Correct answer:

Explanation:

Set up the proportion statement and solve for :

Cross-multiply:

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

420 is 150% of what number?

Possible Answers:

Correct answer:

Explanation:

Set up the proportion statement and solve for  by cross-multiplying:

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

70 is  of what number?

Possible Answers:

Correct answer:

Explanation:

Set up the proportion statement and solve for  by cross-multiplying:

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

24 is 25% of what number?

Possible Answers:

Correct answer:

Explanation:

Think is of .

 

So:

 

and .

 

We have:

 

 

Example Question #82 : Hspt Mathematics

Julie bought some groceries at the store where she works for $196.57. She got an employee discount of 15%. How much would the same groceries cost a non-employee?

Possible Answers:

Correct answer:

Explanation:

Paying at a 15% discount is equvalent to paying 85% of the original price, so $196.57 is 85% of the original (non-employee) price, or, equivalently, 0.85 times that price. If  is that price, then we can set up and solve the equation:

A non-employee would pay $231.26 for the groceries.

Example Question #171 : Percentage

Becky ate  of a batch of cupcakes. She ate  cupcakes. How many cupcakes were there in total?

Possible Answers:

Correct answer:

Explanation:

This can be solved using a proportion:

Cross multiply and solve for :

Example Question #172 : Percentage

For her birthday, Susan asks her mother to buy her a car. Susan’s mother agrees to give Susan 150 percent of whatever amount Susan can save up in six months. If Susan saves , how much does Susan’s mother owe her?

Possible Answers:

$300

$550

$750

$900

 

 

 

 

$700

Correct answer:

$900

 

 

 

 

Explanation:

When Susan's mother agreed to match her savings plus fifty percent, she agreed to give Susan % plus %.  

Before multiplying by the amount Susan saved, we must convert % to a decimal by dividing by .

Now we multiply time $.

Susan's mother owes her $.

Example Question #173 : Percentage

If sales tax on a pair of jeans is , and the jeans cost  before tax, what is the final price of the jeans including tax?

Possible Answers:

$60

$58

$56

$62

$66

Correct answer:

$58

Explanation:

Since the jeans are the only item being purchased, and they cost $, we must first find % of $.  In order to do that we multiply $ by the decimal form of %, which is .

Note: In order to find the decimal form of a percent, we divide it by .  

Find the tax:

 

Therefore the sales tax added to the original price is $

The final cost of the jeans is $.

 

Example Question #851 : Numbers And Operations

At a pet store, there are 12 dogs and 8 cats. The following week, the number of dogs increases by 25%, while the number of cats decreases by 25%. What is the total number of animals at the store the following week?

Assume the store only sells dogs and cats.

Possible Answers:

Correct answer:

Explanation:

If the population of dogs increases by 25%, then we first find 25% of 12 (which is 3) and add the 3 to 12. This gives us 15 dogs.

If the population of cats decreases by 25%, then we find 25% of 8 (which is 2), and subtract if from 8. This gives us 6. 

Now that we know the final individual numbers of dogs and cats, we can add them to find the final answer.

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