Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2051 : Ssat Middle Level Quantitative (Math)

Assorted 1

What percent of the above figures have been shaded in?

Possible Answers:

$41 \frac{2}{3} \%$

$33 \frac{1}{3} \%$

$66 \frac{2}{3} \%$

$58 \frac{1}{3} \%$

Correct answer:

$41 \frac{2}{3} \%$

Explanation:

There are twelve figures, five of which have been shaded in, so $\frac{5}{12}$ of the figures are shaded; this is

$\frac{5}{12} \times 100 \% = \frac{500}{12} \% = \frac{125}{3} \%$

Since $125\div 3 = 41 \textrm{ R }2$ , this is equal to $41 \frac{2}{3} \%$ of the figure.

Report an Error

Example Question #53 : Percentage

is 30% of and 60% of .

What percent of is ?

Possible Answers:

$90 \%$

$30 \%$

$50 \%$

$200 \%$

Correct answer:

$50 \%$

Explanation:

is 30% of , so

$F = \frac{30}{100}G$

$F = \frac{3}{10}G$

$\frac{10} {3} \cdot F = \frac{10} {3} \cdot \frac{3}{10}G$

$\frac{10} {3} F = G$

is 60% of , so

$F = \frac{60}{100}H$

$F = \frac{3}{5}H$

$\frac{5} {3} \cdot F = \frac{5} {3} \cdot \frac{3}{5}H$

$\frac{5} {3} F = H$

To determine what percent of is, evaluate:

$\frac{H}{G} \cdot 100 \%$

$=\frac{\frac{5} {3} F }{ \frac{10} {3} F} \cdot 100 \%$

$=\frac{\frac{5} {3} }{ \frac{10} {3} } \cdot 100 \%$

$= \frac{5} {3} \cdot \frac {3}{10} \cdot 100 \%$

$= \frac{1,500} {30} \%$

$= 50 \%$

Report an Error

Example Question #1391 : Numbers And Operations

Assorted 1

What percent of the above figures are circles?

Possible Answers:

$50 \%$

$75 \%$

$25 \%$

$40 \%$

Correct answer:

$50 \%$

Explanation:

There are twelve figures, six of which are circles. This is

$\frac{6}{12} \times 100 \% = \frac{600}{12} \% = 50 \%$

of the figures.

Report an Error

Example Question #13 : How To Find Percentage

is $\frac{1}{2} \%$ of .

is 2.5 % of .

What percent of is ?

Possible Answers:

$500 \%$

$1 \frac{1}{4} \%$

$20 \%$

$5 \%$

Correct answer:

$500 \%$

Explanation:

For the sake of simplicity, since this reasoning is independent of the actual value of , we will assume that C = 100 . Then is $\frac{1}{2} \%$ of 100, or simply $\frac{1}{2} = 0.5$ , and is 2.5% of 100, or simply 2.5. To find out what percent is of , evaluate:

$\frac{B}{A} \cdot 100 \% = \frac{2.5}{0.5} \cdot 100 \% = 5 \cdot 100 \% = 500 \%$

Report an Error

Example Question #55 : Percentage

is 20% of and $\frac{1}{4} \%$ of .

What percent of is ?

Possible Answers:

$8,000 \%$

$1 \frac{1}{4} \%$

$5 \%$

$80 \%$

Correct answer:

$1 \frac{1}{4} \%$

Explanation:

20% of a number is $\frac{20}{100} = \frac{1}{5}$ of that number, so $S = \frac{1}{5} T$ . Equivalently,

$5 \cdot S =5 \cdot \frac{1}{5} T$

5S = T

$\frac{1}{4} \%$ of a number is $\frac{\frac{1}{4}}{100} = \frac{1}{4} \div 100 = \frac{1}{4} \times \frac{1}{100} = \frac{1}{4 00}$ of that number, so $S = \frac{1}{400 } U$ . Equivalently,

$400 \cdot S =400 \cdot \frac{1}{400 } U$

400 S = U

To find out what percent is of , evaluate:

$\frac{T}{U}\cdot 100 \% = \frac{5S}{400S} \cdot 100 \% = \frac{5}{400} \cdot 100 \% = \frac{500}{400} \% = \frac{5}{4} \% = 1 \frac{1}{4} \%$

Report an Error

Example Question #1393 : Numbers And Operations

is 40% of . is 72% of .

What percent of is ?

Possible Answers:

$55 \frac{5}{9} \%$

$32 \%$

$112 \%$

$180 \%$

Correct answer:

$55 \frac{5}{9} \%$

Explanation:

is 40 % of , or $K = \frac{40}{100} L$ ; is 72% of , or $M = \frac{72}{100} L$ .

To find out what percent is of , evaluate:

$\frac{K}{M} \cdot 100 \%$

$= \frac{ \frac{40}{100} L }{ \frac{72}{100} L} \cdot 100 \%$

$= \frac{ \frac{40}{100} }{ \frac{72}{100} } \cdot 100 \%$

$= \frac{40 }{ 72} \cdot 100 \%$

$= \frac{5}{9} \cdot 100 \%$

$= \frac{500}{9} \%$

$= 55 \frac{5}{9} \%$ .

Report an Error

Example Question #1 : How To Find The Distributive Property

$3\times(4+\frac{1}{3})= ?$

Possible Answers:

$15+\frac{2}{3}$

$12+\frac{1}{3}$

Correct answer:

Explanation:

Using the distributive property we get: $(3\times4)+(3\times \frac{1}{3})=12+1=13$

Report an Error

Example Question #2 : How To Find The Distributive Property

Which of the following expressions is equivalent to the expression -6 (-3x+7) ?

Possible Answers:

18x +7

18x -7

18x +42

18x - 42

-18x - 42

Correct answer:

18x - 42

Explanation:

By the distributive property of multiplication over addition,

$-6 (-3x+7) = -6 \cdot (-3x) +(-6)\cdot 7 = 18x + (-42)= 18x - 42$

Report an Error

Example Question #3 : How To Find The Distributive Property

Which of the following expressions is equivalent to the expression 8 (-2x+7) ?

Possible Answers:

-16x+56

-16x+7

16x-7

-16x-56

16x+7

Correct answer:

-16x+56

Explanation:

By the distributive property of multiplication over addition,

$8 (-2x+7) = 8 (-2x)+8\cdot 7 = -16x + 56$

Report an Error

Example Question #1 : How To Find The Distributive Property

Simplify the expression: 11y - 3y + 4y

Possible Answers:

-132y^3

12y

18y

-132y

Correct answer:

12y

Explanation:

Apply the distributive property:

11y - 3y + 4y

$= \left (11 - 3 + 4 \right ) y$

$= \left (8 + 4 \right ) y$

=12 y

Report an Error

View SSAT- Middle Level Tutors

Jason
Certified Tutor

NJCU, Bachelor in Arts, Communication, General. Saint Peters College, Masters in Business Administration, Elementary and Midd...

View SSAT- Middle Level Tutors

Rhea
Certified Tutor

American University, Current Undergrad, International Relations, Business .

View SSAT- Middle Level Tutors

Bill
Certified Tutor

SUNY Empire State College, Bachelors, General Sciences, Theater.

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Dallas Fort Worth, ISEE Tutors in San Francisco-Bay Area, ISEE Tutors in New York City, Algebra Tutors in San Diego, English Tutors in Atlanta, Biology Tutors in Philadelphia, Spanish Tutors in Washington DC, English Tutors in Houston, SSAT Tutors in Houston, GMAT Tutors in Phoenix

Popular Courses & Classes

Spanish Courses & Classes in Houston, LSAT Courses & Classes in Boston, LSAT Courses & Classes in Miami, Spanish Courses & Classes in Boston, GRE Courses & Classes in Atlanta, ISEE Courses & Classes in Los Angeles, MCAT Courses & Classes in Miami, GMAT Courses & Classes in Philadelphia, ACT Courses & Classes in San Diego, GMAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

SSAT Test Prep in New York City, SAT Test Prep in Dallas Fort Worth, SAT Test Prep in Washington DC, GMAT Test Prep in Philadelphia, GMAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Houston, SAT Test Prep in Miami, ISEE Test Prep in Phoenix, GRE Test Prep in Denver, ACT Test Prep in Miami

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

SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #2051 : Ssat Middle Level Quantitative (Math)

Example Question #53 : Percentage

Example Question #1391 : Numbers And Operations

Example Question #13 : How To Find Percentage

Example Question #55 : Percentage

Example Question #1393 : Numbers And Operations

Example Question #1 : How To Find The Distributive Property

Example Question #2 : How To Find The Distributive Property

Example Question #3 : How To Find The Distributive Property

Example Question #1 : How To Find The Distributive Property

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: