### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #82 : Arithmetic

Refer to the above diagram. If there were 15,934 voters who were affiliated with a political party in Smith County in 2009, how many voters (nearest whole number) were there total?

**Possible Answers:**

**Correct answer:**

40% of the voters were registered as independents, so 60% were registered as a member of a political party. Since 60% of the voters numbered 15,934, we can find the total number of voters by setting up and solving a proportion:

which rounds to 26,557 voters.

### Example Question #83 : Arithmetic

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:**

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 #7 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

240 is 30% of what number?

**Possible Answers:**

**Correct answer:**

Set up the proportion statement and solve for :

Cross-multiply:

### Example Question #8 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

420 is 150% of what number?

**Possible Answers:**

**Correct answer:**

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

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

70 is of what number?

**Possible Answers:**

**Correct answer:**

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

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

24 is 25% of what number?

**Possible Answers:**

**Correct answer:**

Think is of .

So:

and .

We have:

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

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:**

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

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

**Possible Answers:**

**Correct answer:**

This can be solved using a proportion:

Cross multiply and solve for :

### Example Question #84 : Arithmetic

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:**

$550

$700

$750

$900

$300

**Correct answer:**

$900

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 #8 : How To Find The Whole From The Part With 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

$56

$62

$58

$66

**Correct answer:**

$58

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 $.

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