# ISEE Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #11 : Percentages

Jerry buys groceries that cost $43.23 before tax. The tax on groceries in his locality is 5.5%. He hands the cashier a$100 bill. What will he get back in change?

Explanation:

The tax on $43.23 worth of groceries is 5.5% of that, which is 0.055 multiplied by that: when rounded to the nearest cent. Add that to the price: And subtract that from$100:

, which is the change

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

What is 40% of  ?

Explanation:

Set up the percent proportion, where  is the part:

Solve for , rewriting as follows:

### Example Question #11 : How To Work With Percentages

At the store where Harry works, a hat he wants to buy sells for $72.00. He gets an employee discount of 20%, and he wants to hold out for two weeks, when the hat is marked down 15%. How much will he be able to buy the hat for then? Possible Answers: Correct answer: Explanation: A 20% employee discount means that Harry gets to buy merchandise for 80% of the purchase price. A 15% markdown means that the hat will sell for 85% of its normal price. Therefore, Harry will pay 80% of 85% of$72 for the hat, or:

### Example Question #11 : Percentages

A bicycle Carly wants to buy costs $250 in her hometown in Tennessee, where she would pay no sales tax. Just across the border in Kentucky, she can buy the same bicycle for$225 in a store, but the sales tax is 8%. How much would Carly save by buying the bicycle in Kentucky?

Explanation:

In the Kentucky store, Carly would pay $225, plus 8% of that amount, in tax; this is: She would save ### Example Question #11 : How To Work With Percentages$12,000 is deposited into a savings account that draws 6% simple interest per year. If no money is withdrawn during the first five years, how much money is in the account at the end of the fifth year?

Explanation:

We can use the simple interest formula , substituting :

The savings account will have .

### Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a  product sold for  off cost?

Explanation:

First, find  of :

Then, subtract this value from the whole:

### Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a  product sold for  off cost?

Explanation:

First, find  of :

Then, subtract this value from the whole:

### Example Question #21 : How To Find The Part From The Whole With Percentage

Solve for .

Explanation:

Use a proportion to solve the problem.

Cross multiply

### Example Question #1763 : Isee Middle Level (Grades 7 8) Mathematics Achievement

To get on the ballot for student body president, a student must turn in a petition with the signatures of 4% of the students. If there are 3,268 students, how many signatures must a student get to be on that ballot? (Round to the nearest whole person.)

Explanation:

4% of 3,268 can be calculated by multiplying 3,268 by 0.04, the decimal equivalent of 4%:

Multiply 3,268 by 4, then move the decimal point two places to the right:

,

so

Rounded to the nearest whole number -  131 signatures.

### Example Question #11 : Percentages

Sally painted 11 pictures on Monday, 7 pictures on Wednesday, and 3 pictures on Friday. On average, how many pictures did Sally paint on those 3 days?