Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Numbers and Operations

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : Percentages

Helen wants to buy a dress for a party. It is on sale for 37% off. How much does the dress currently costs, if its original price was $45.00?

Possible Answers:

$\$8.00$ $\displaystyle \$8.00$

$\$16.65$ $\displaystyle \$16.65$

$\$82.50$ $\displaystyle \$82.50$

$\$28.35$ $\displaystyle \$28.35$

Correct answer:

$\$28.35$ $\displaystyle \$28.35$

Explanation:

First, multiply 45 by 0.37:

$\displaystyle 45 * .37=16.65$

Then, subtract that amount from 45.00 to find the sale price:

$\displaystyle 45-16.65=28.35$

Answer: The dress' sale price is $28.35.

Report an Error

Example Question #71 : Problem Solving

A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale?

Possible Answers:

$\$82.00$ $\displaystyle \$82.00$

$\$49.60$ $\displaystyle \$49.60$

$\$50.00$ $\displaystyle \$50.00$

$\$42.00$ $\displaystyle \$42.00$

Correct answer:

$\$49.60$ $\displaystyle \$49.60$

Explanation:

Multiply: $\displaystyle 62 * .20=12.40$

Then, subtract that amount from the original price:

$\displaystyle 62-12.40=49.60$

Answer: $49.60

Report an Error

Example Question #862 : Numbers And Operations

Candy bought a sweater and a beanie on sale for 20% off. If the sweater cost $ $\small $45$ $\displaystyle \small $45$ and the beanie cost $ $\small 12$ $\displaystyle \small 12$ , how much did Candy spend?

Possible Answers:

$ $\small 45.30$ $\displaystyle \small 45.30$

$ $\small 45.80$ $\displaystyle \small 45.80$

$ $\small $45.60$ $\displaystyle \small $45.60$

$ $\small 45.70$ $\displaystyle \small 45.70$

$ $\small 11.40$ $\displaystyle \small 11.40$

Correct answer:

$ $\small $45.60$ $\displaystyle \small $45.60$

Explanation:

In order to find how much money Candy spent, we must first figure out the cost of the merchandise before the discount. We do this by adding the prices together.

$\small 45+12=57$ $\displaystyle \small 45+12=57$

Next we must find 20% of $57.00.

$\small .20\cdot 57=11.40$ $\displaystyle \small .20\cdot 57=11.40$

Since 20% is the percentage Candy saved, we must subtract $11.40 from the original price.

$\small 57-11.4=45.60$ $\displaystyle \small 57-11.4=45.60$

So Candy spent $45.60.

Report an Error

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

75 is 60% of what number?

Possible Answers:

$\displaystyle 60$

150 $\displaystyle 150$

$\displaystyle 45$

105 $\displaystyle 105$

125 $\displaystyle 125$

Correct answer:

125 $\displaystyle 125$

Explanation:

Set up the proportion statement and solve for $\displaystyle N$ by cross-multiplying:

$\frac{75}{N}= \frac{60}{100}$ $\displaystyle \frac{75}{N}= \frac{60}{100}$

$N \cdot 60 = 75 \cdot 100 = 7,500$ $\displaystyle N \cdot 60 = 75 \cdot 100 = 7,500$

$N \cdot 60 \div 60 = 7,500\div 60$ $\displaystyle N \cdot 60 \div 60 = 7,500\div 60$

N = 125 $\displaystyle N = 125$

Report an Error

Example Question #5 : Percentages

What is 120% of 120?

Possible Answers:

150 $\displaystyle 150$

125 $\displaystyle 125$

124 $\displaystyle 124$

140 $\displaystyle 140$

144 $\displaystyle 144$

Correct answer:

144 $\displaystyle 144$

Explanation:

Rewrite 120% as a decimal by writing 120 with a decimal point, then shifting it two spaces left:

$120.0\% = 1.20 = 1.2$ $\displaystyle 120.0\% = 1.20 = 1.2$

Multiply this by 120:

$120 \times 1.2 = 144$ $\displaystyle 120 \times 1.2 = 144$

Report an Error

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

What is 225% of 225?

Possible Answers:

506.25 $\displaystyle 506.25$

450 $\displaystyle 450$

100 $\displaystyle 100$

281.25 $\displaystyle 281.25$

562.5 $\displaystyle 562.5$

Correct answer:

506.25 $\displaystyle 506.25$

Explanation:

Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:

$225.0\% = 2.25$ $\displaystyle 225.0\% = 2.25$

Multiply this by 225:

$225 \times 2.25= 506.25$ $\displaystyle 225 \times 2.25= 506.25$

Report an Error

Example Question #1 : Percentages

What is 77% of 77?

Possible Answers:

59.29 $\displaystyle 59.29$

49.49 $\displaystyle 49.49$

53.9 $\displaystyle 53.9$

100 $\displaystyle 100$

$\displaystyle 49$

Correct answer:

59.29 $\displaystyle 59.29$

Explanation:

Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:

$77.0\% = 0.77$ $\displaystyle 77.0\% = 0.77$

Multiply this by 77:

$77 \times 0.77 = 59.29$ $\displaystyle 77 \times 0.77 = 59.29$

Report an Error

Example Question #11 : How To Work With Percentages

Donald makes $17.50 an hour at current, and is due for a 5% raise. Also, as a result of an agreement with the union, management has promised a 16% increase in wages across the board for all workers. What will Donald earn per hour after these two increases?

Possible Answers:

$\$20.82$ $\displaystyle \$20.82$

$\$21.82$ $\displaystyle \$21.82$

$\$20.32$ $\displaystyle \$20.32$

$\$21.32$ $\displaystyle \$21.32$

Correct answer:

$\$21.32$ $\displaystyle \$21.32$

Explanation:

As a result of a 5% raise, Donald's wages will be 105% of what they were before; the 16% wage hike will make Donald's wages 116% of that. Therefore, Donald will make:

$1.05 \times 1.16 \times 17.50 = \$ 21.315 \approx \$21.32$ $\displaystyle 1.05 \times 1.16 \times 17.50 = \$ 21.315 \approx \$21.32$

Report an Error

Example Question #191 : Percentage

In appreciation for a job well done, Clark is being awarded a bonus equal to 12.5% of the salary he earned over the last two years. His monthly salary over that period has remained constant at $4,500 per month. What is the amount of the bonus?

Possible Answers:

$\$6,750$ $\displaystyle \$6,750$

$\$13,500$ $\displaystyle \$13,500$

$\$11,250$ $\displaystyle \$11,250$

$\$17,250$ $\displaystyle \$17,250$

Correct answer:

$\$13,500$ $\displaystyle \$13,500$

Explanation:

Over two years, or 24 months, Clark has earned

$\$4,500 \times 24 = \$108,000$ $\displaystyle \$4,500 \times 24 = \$108,000$

His bonus is 12.5% of this, or:

$\$108,000 \times 0.125 = \$13,500$ $\displaystyle \$108,000 \times 0.125 = \$13,500$

Report an Error

Example Question #531 : Arithmetic

What is $\frac{1}{6} \%$ $\displaystyle \frac{1}{6} \%$ of 3,000?

Possible Answers:

$\displaystyle 6$

$\displaystyle 60$

$\displaystyle 50$

$\displaystyle 5$

Correct answer:

$\displaystyle 5$

Explanation:

Set up a proportion, as follows:

$\frac{N}{3,000} = \frac{\frac{1}{6}}{100}$ $\displaystyle \frac{N}{3,000} = \frac{\frac{1}{6}}{100}$

Solve for $\displaystyle N$ by cross-mutiplying:

$100 \cdot N = \frac{1}{6} \cdot 3,000$ $\displaystyle 100 \cdot N = \frac{1}{6} \cdot 3,000$

$100 \cdot N = \frac{1}{6} \cdot\frac{ 3,000}{1}$ $\displaystyle 100 \cdot N = \frac{1}{6} \cdot\frac{ 3,000}{1}$

$100 \cdot N = 500$ $\displaystyle 100 \cdot N = 500$

$100 \cdot N \div 100 = 500 \div 100$ $\displaystyle 100 \cdot N \div 100 = 500 \div 100$

N = 5 $\displaystyle N = 5$

Report an Error

View Tutors

Aaron
Certified Tutor

Portland State University, Bachelors, Economics. Portland State University, Masters, Environmental and Resource Management.

View Tutors

Jessica
Certified Tutor

Nevada State College, Bachelor of Science, High School Teaching.

View Tutors

Cheryl
Certified Tutor

Palm Beach Atlantic University-West Palm Beach, Bachelor of Science, Business Administration and Management. Southern New Ham...

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Seattle, ISEE Tutors in Miami, ACT Tutors in Denver, GMAT Tutors in Boston, MCAT Tutors in San Diego, ISEE Tutors in Phoenix, SAT Tutors in Miami, Calculus Tutors in Atlanta, ISEE Tutors in Denver, Math Tutors in Miami

Popular Courses & Classes

Spanish Courses & Classes in Washington DC, ACT Courses & Classes in Phoenix, MCAT Courses & Classes in Washington DC, Spanish Courses & Classes in Denver, SSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Denver, SSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Atlanta, GRE Courses & Classes in Denver

Popular Test Prep

GRE Test Prep in Dallas Fort Worth, SSAT Test Prep in Seattle, ACT Test Prep in Phoenix, MCAT Test Prep in Washington DC, LSAT Test Prep in Phoenix, SAT Test Prep in Miami, GMAT Test Prep in Atlanta, MCAT Test Prep in New York City, ISEE Test Prep in Boston, SSAT Test Prep in Atlanta

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #4 : Percentages

Example Question #71 : Problem Solving

Example Question #862 : Numbers And Operations

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

Example Question #5 : Percentages

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

Example Question #1 : Percentages

Example Question #11 : How To Work With Percentages

Example Question #191 : Percentage

Example Question #531 : Arithmetic

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: