ISEE Middle Level Math : Numbers and Operations

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

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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?

Possible Answers:

Correct answer:

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  ?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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 If no money is withdrawn during the first five years, how much money is in the account at the end of the fifth year?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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 .

Possible Answers:

Correct answer:

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.)

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

Explanation:

To solve, first find the total number of pictures painted:

Then, divide the total number of pictures by the total number of days to find the average.

Sally painted an average of 7 pictures per day.

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