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

← Previous 1 2 3 4 5 6 7 8 9 … 93 94 Next →

Example Question #5 : How To Find A Proportion

What is the value of x in $\frac{x+4}{x}=\frac{4}{12}?$

Possible Answers:

Correct answer:

Explanation:

Since this is a proportion, you can cross-multiply. Once you do that, the left side is 4x. Your right side is 12x+48 . Set those equal to each other. Then, combine like terms. Subtract 12x from both sides so that the equation is now -8x=48 . Divide both sides by -8. Your answer is -6.

Report an Error

Example Question #6 : How To Find A Proportion

Michelle is having a party, and she is experimenting with different mixtures of soda, trying to come up with something original. In particular, she likes a drink she made when she mixed together three ounces of cola and five ounces of grape soda. She has two and a half liters of cola and wants to use it all to make some of this drink; how much grape soda does she need to mix it with?

Possible Answers:

$6 \textrm{ L}$

$3 \frac{1}{6} \textrm{ L}$

$4 \frac{1}{6} \textrm{ L}$

$1\frac{1}{2} \textrm{ L}$

None of the other responses gives the correct answer.

Correct answer:

$4 \frac{1}{6} \textrm{ L}$

Explanation:

The ratio of ounces of cola to ounces of grape soda in the initial mixture can be expressed as $\frac{3}{5}$ . It must be equal to that of liters of cola to liters of grape soda in the mixture Michelle will make for the party, which, since the number of liters of grape soda is unknown, is $\frac{2\frac{1}{2}}{N}$ . Set these equal and solve for :

$\frac{2\frac{1}{2}}{N} = \frac{3}{5}$

Set the cross-products equal to each other:

$3 N = 2\frac{1}{2} \cdot 5$

$3 N = \frac{5}{2} \cdot 5$

$3 N = \frac{25}{2}$

$\frac{1}{3} \cdot 3 N =\frac{1}{3} \cdot \frac{25}{2}$

$N = \frac{25}{6} = 4 \frac{1}{6}$

Michelle will use $4 \frac{1}{6}$ liters of grape soda in the final mixture.

Report an Error

Example Question #7 : How To Find A Proportion

Robert, Jeff, and Paul are sharing a bag of chips that contains 20 chips. The three of them eat all of the chips. If Robert has eaten 8 chips, and Jeff eats twice as many chips as Paul, how many chips has Jeff eaten?

Possible Answers:

Correct answer:

Explanation:

What do we know? We know that there are 20 chips in the bag, and we know that Robert has eaten 8 of them. Thus, we can calculate that there are 20-8=12 chips remaining. Of this remaining, Jeff has eaten 2 parts and Paul has eaten 1 part: that's 3 parts, so let's calculate how many chips constitute each part:

$\frac{12}{3}=4$

So, each part is equal to 4 chips.

Jeff has eaten 2 parts, so 2*4=8 gives us our answer.

Report an Error

Example Question #31 : Numbers And Operations

If one cupcake costs 75 cents, how much does a dozen cupcakes cost?

Possible Answers:

$\$ 9.00$

$\$10.00$

$\$7.00$

$\$8.00$

Correct answer:

$\$ 9.00$

Explanation:

You can solve this problem using a proportion.

$\frac{1}{0.75}=\frac{12}{x}$

To solve for x, cross multiply.

$1\times x=12\times.75$

x=9.00

9 dollars

Report an Error

Example Question #32 : Numbers And Operations

If you can purchase two pairs of jeans for 50 dollars, how many pairs of jeans can you purchase with 200 dollars?

Possible Answers:

Correct answer:

Explanation:

You can use a proportion to solve this problem.

$\frac{2}{50}=\frac{x}{200}$

Cross multiply to solve for x.

$50\times x=200\times2$

50x =400

$400\div50 = 8$

Report an Error

Example Question #10 : How To Find A Proportion

Phil earns $\$10.00$ for each hour he works. For every hour he works, he then gives $\$2.00$ to his sister Lola. How much money will Lola have if Phil works 13.5 hours?

Possible Answers:

$\$27.00$

$\$135.00$

$\$23.50$

$\$15.50$

$\$67.50$

Correct answer:

$\$27.00$

Explanation:

To Solve:

Multiply the $\$2.00$ Lola receives by the 13.5 hours Phil worked:

$\small $2.00 \cdot 13.5=27$

Phil will give Lola $\$27.00$ if he works 13.5 hours.

Report an Error

Example Question #31 : Numbers And Operations

If the ratio of boys to girls in a classroom is 11:12 , and there are a total of of students in the classroom, how many boys are in the classroom?

Possible Answers:

Correct answer:

Explanation:

If the ratio of boys to girls in a classroom is 11:12 , that means that there are boys for every girls. Thus, when there are students in a classroom, the breakdown will be boys and girls. If there are students in a classroom, the breakdown will be boys and girls, which translates to a ratio of 22:24 , or 11:12 .

Thus, if there are students, will be boys.

Report an Error

Example Question #32 : Numbers And Operations

You survey 500 students about the plans for a new practice court for the basketball team and they must give a yes or no answer. 490 students are against the use of funds on this project. What proportion of students said that they agreed with the plan?

Possible Answers:

0.02

0.98

0.025

0.05

0.5

Correct answer:

0.02

Explanation:

If 490 disagreed with the plan, that means the rest agreed.

So to find that value, you must do the total minus the no's

500-490=10 .

To find the proportion you must divide the part by the whole giving us an answer of 0.02

10/500=0.02 .

Report an Error

Example Question #33 : Numbers And Operations

If Mike gets two times the amount of work done than Joe, what is a ratio representing the work that each get done?

Possible Answers:

6:5

5:2

1:1

1:3

2:1

Correct answer:

2:1

Explanation:

Since Mike does twice the work that Joe does, his part of the ratio must be double the value of Joe's. The only ratio given that has that is 2:1 .

Report an Error

Example Question #34 : Numbers And Operations

Which statement does not follow from the statement $\frac{A}{9} = \frac{B }{11}$ ?

Possible Answers:

$\frac {9}{A}= \frac{11}{B }$

$\frac{A}{B} = \frac{9} {11}$

$\frac{A}{11} = \frac{B }{9}$

$\frac{9} {A}= \frac{11}{B }$

Correct answer:

$\frac{A}{11} = \frac{B }{9}$

Explanation:

If $\frac{A}{9} = \frac{B }{11}$ , then:

The ratio of the numerators is equivalent to that of the denominators, in the same order. Hence,

$\frac{A}{B} = \frac{9} {11}$ and $\frac{9} {A}= \frac{11}{B }$ are true.

The reciprocals of the ratios are equivalent, so

$\frac {9}{A}= \frac{11}{B }$

However, it does not hold that

$\frac{A}{11} = \frac{B }{9}$ .

This can be seen as follows:

$\frac{A}{9} = \frac{B }{11}$

$\frac{A}{9} \cdot \frac{9}{11}= \frac{B }{11}\cdot \frac{9}{11}$

$\frac{A}{11}= \frac{9B }{121} \ne \frac{B}{9}$ .

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 … 93 94 Next →

View Tutors

Mike
Certified Tutor

Concordia University-Ann Arbor, Master of Arts Teaching, Mathematics Teacher Education.

View Tutors

Aaron
Certified Tutor

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

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

All ISEE Middle Level Math Resources

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

Popular Subjects

GMAT Tutors in Dallas Fort Worth, Calculus Tutors in Seattle, SAT Tutors in Seattle, French Tutors in Philadelphia, ACT Tutors in Washington DC, Calculus Tutors in New York City, Reading Tutors in Miami, Reading Tutors in Dallas Fort Worth, Biology Tutors in Los Angeles, English Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in Denver, ACT Courses & Classes in Boston, LSAT Courses & Classes in Atlanta, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in Denver, GMAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Phoenix, ISEE Courses & Classes in Seattle, MCAT Courses & Classes in Seattle

Popular Test Prep

SAT Test Prep in Houston, SSAT Test Prep in Miami, GMAT Test Prep in Dallas Fort Worth, GRE Test Prep in Boston, SSAT Test Prep in Phoenix, GMAT Test Prep in Denver, SSAT Test Prep in Washington DC, SAT Test Prep in Dallas Fort Worth, GRE Test Prep in Houston, ISEE Test Prep in Dallas Fort Worth

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 #5 : How To Find A Proportion

Example Question #6 : How To Find A Proportion

Example Question #7 : How To Find A Proportion

Example Question #31 : Numbers And Operations

Example Question #32 : Numbers And Operations

Example Question #10 : How To Find A Proportion

Example Question #31 : Numbers And Operations

Example Question #32 : Numbers And Operations

Example Question #33 : Numbers And Operations

Example Question #34 : Numbers And Operations

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: