Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Number Concepts and Operations

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

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Decimals With Fractions

Let $a = \frac{3}{5}$ , $b= \frac{2}{3}$ , $c = \frac{4}{7}$

Which of the following is closest to a + b + c ?

Possible Answers:

1.8

1.9

1.6

1.5

1.7

Correct answer:

1.8

Explanation:

a + b + c

$= \frac{3}{5}+ \frac{2}{3}+ \frac{4}{7}$

$= \frac{3 \times 21}{5 \times 21}+ \frac{2\times 35}{3 \times 35}+ \frac{4\times 15}{7 \times 15}$

$= \frac{63}{105}+ \frac{70}{105}+ \frac{60}{105} = \frac{193}{105}$

$= 193 \div 105 \approx 1.84$

The correct choice is 1.8.

Report an Error

Example Question #7 : Decimals With Fractions

Let $a =3 \frac{3}{5}$ and $b=1 \frac{5}{6}$

Which of the following is closest to a - b ?

Possible Answers:

1.6

1.4

1.5

1.7

1.8

Correct answer:

1.8

Explanation:

$a - b = 3\frac{3}{5} - 1\frac{5}{6}$

$= \frac{18}{5} - \frac{11}{6}$

$= \frac{18\times 6 }{5 \times 6} - \frac{11\times 5}{6\times 5}$

$= \frac{108}{30} - \frac{55}{30}$

$= \frac{53}{30}$

$= 53 \div 30 \approx 1.77$

The correct choice is 1.8.

Report an Error

Example Question #241 : Rational Numbers

Define an operation $\blacklozenge$ as follows:

For all real numbers a,b :

$a\blacklozenge b = a^{2} - b^{2}$

Which of the following is closest to $\frac{1}{2} \blacklozenge \frac{1}{3}$ ?

Possible Answers:

0.3

0.2

0.1

0.15

0.25

Correct answer:

0.15

Explanation:

$a\blacklozenge b = a^{2} - b^{2}$

$\frac{1}{2} \blacklozenge \frac{1}{3} =\left ( \frac{1}{2} \right ) ^{2} - \left ( \frac{1}{3} \right )^{2}= \frac{1}{4} - \frac{1}{9}= \frac{9}{36} - \frac{4}{36}= \frac{5}{36}$

$= 5 \div 36 = 0.13888...$

The correct choice is 0.15.

Report an Error

Example Question #1371 : Ssat Upper Level Quantitative (Math)

Let $a =1 \frac{4}{9}$ , $b = 1\frac{3}{8}$ , and $c= \frac{1}{2}$ .

Which of the following is closest to a bc ?

Possible Answers:

1.3

1.4

1.2

1.1

Correct answer:

Explanation:

$a bc=1 \frac{4}{9} \times 1\frac{3}{8} \times \frac{1}{2}= \frac{13}{9} \times \frac{11}{8} \times \frac{1}{2}= \frac{143}{144}= 143 \div 144 \approx 0.99$

The correct response is 1.

Report an Error

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Simplify and express as a decimal:

$\frac{4\frac{2}{3}}{5\frac{3}{5}}$

Possible Answers:

$0.8\overline{3}$

$0.\overline{8}$

0.8

0.875

0.9

Correct answer:

$0.8\overline{3}$

Explanation:

$\frac{4\frac{2}{3}}{5\frac{3}{5}} = 4\frac{2}{3} \div 5\frac{3}{5} = \frac{14}{3} \div \frac{28}{5} = \frac{14}{3} \times \frac{5} {28} = \frac{1}{3} \times \frac{5} {2} = \frac{5}{6}$

$\frac{5}{6}= 5 \div 6 = 0.8333...$ ,

so the correct response is $0.8\overline{3}$ .

Report an Error

Example Question #11 : Decimals With Fractions

Define an operation $\blacklozenge$ as follows:

For all real numbers a,b :

$a\blacklozenge b = \frac{ab}{a+b}$

Which of the following is equal to $\frac{1}{2} \blacklozenge \frac{1}{3}$ ?

Possible Answers:

0.25

The correct answer is not among the other choices.

$0.\overline{2}$

0.2

$0.1\overline{6}$

Correct answer:

0.2

Explanation:

$a\blacklozenge b = \frac{ab}{a+b}$

$\frac{1}{2} \blacklozenge \frac{1}{3}=\frac{\frac{1}{2} \times \frac{1}{3}}{\frac{1}{2} +\frac{1}{3}}=\frac{\frac{1}{6} }{\frac{5}{6} } = \frac{1}{6} \div \frac{5}{6} = \frac{1}{6} \times \frac{6} {5} = \frac{1}{1} \times \frac{1} {5} = \frac{1}{5}$

$\frac{1}{5} = 1 \div 5 = 0.2$ ,

is the correct response.

Report an Error

Example Question #301 : Number Concepts And Operations

Which of the following is a true statement?

Possible Answers:

$0.55 < \frac{7}{13} < 0.56$

$0.56 < \frac{7}{13} < 0.57$

$0.52 < \frac{7}{13} < 0.53$

$0.54 < \frac{7}{13} < 0.55$

$0.53 < \frac{7}{13} < 0.54$

Correct answer:

$0.53 < \frac{7}{13} < 0.54$

Explanation:

Divide 7 by 13. The result is as follows:

Division

The correct choice is that $0.53 < \frac{7}{13} < 0.54$ .

Report an Error

Example Question #302 : Number Concepts And Operations

Which of the following is closest to the sum of two thirds and four fifths?

Possible Answers:

1.45

1.55

1.4

1.6

1.5

Correct answer:

1.45

Explanation:

$\frac{2}{3} + \frac{4}{5} = \frac{2 \cdot 5}{3\cdot 5} + \frac{3\cdot 4}{3\cdot 5} = \frac{10}{15} + \frac{12}{15} =\frac{22}{15}$

Divide 22 by 15:

Division

Of the five choices, the closest is 1.45.

Report an Error

Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

Which of the following is a true statement?

Possible Answers:

$-0.72< -\frac{19}{27}< -0.71$

$-0.73< -\frac{19}{27}< -0.72$

$-0.75< -\frac{19}{27}< -0.74$

$-0.71< -\frac{19}{27}< -0.70$

$-0.74< -\frac{19}{27}< -0.73$

Correct answer:

$-0.71< -\frac{19}{27}< -0.70$

Explanation:

Divide 19 by 27:

Division

$0.70 < \frac{19}{27}< 0.71$ ,

$-0.71< -\frac{19}{27}< -0.70$ .

Report an Error

Example Question #13 : Decimals With Fractions

Which of the following falls between 0.32 and 0.33?

Possible Answers:

$\frac{25}{77}$

$\frac{23}{77}$

$\frac{26}{77}$

$\frac{27}{77}$

$\frac{24}{77}$

Correct answer:

$\frac{25}{77}$

Explanation:

Since all of the fractions have 77 as a denominator, one way to solve this problem is to let be the numerator of the correct fraction. Therefore, the equivalent problem is to find integer such that

$0.32 < \frac{N}{77} < 0.33$

Multiply each expression by :

$0.32 \cdot 77 < \frac{N}{77} \cdot 77 < 0.33 \cdot 77$

24.64 < N < 25.41

Therefore, N = 25 , making $\frac{25}{77}$ the correct choice.

Report an Error

View SSAT- Upper Level Tutors

Sundeep
Certified Tutor

Indian Institute of Technology, Engineering in Computer Science, Electrical Engineering. New York University, Masters in Busi...

View SSAT- Upper Level Tutors

Colin
Certified Tutor

Cooper Union for the Advancement of Science and Art, Bachelor of Fine Arts, Fine and Studio Arts Management. The University o...

View SSAT- Upper Level Tutors

Keith
Certified Tutor

Xavier University, Bachelor in Business Administration, Accounting. Ohio University-Main Campus, Masters in Education, Mathem...

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Miami, MCAT Tutors in Seattle, Physics Tutors in Miami, Computer Science Tutors in Houston, Spanish Tutors in Denver, English Tutors in Chicago, Chemistry Tutors in Atlanta, ISEE Tutors in Chicago, MCAT Tutors in Boston, Algebra Tutors in Phoenix

Popular Courses & Classes

MCAT Courses & Classes in Washington DC, LSAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Phoenix, SSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Atlanta, SSAT Courses & Classes in Miami, ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Boston, SAT Courses & Classes in Philadelphia

Popular Test Prep

SSAT Test Prep in Philadelphia, GRE Test Prep in Boston, ACT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Philadelphia, MCAT Test Prep in Denver, ACT Test Prep in Dallas Fort Worth, SAT Test Prep in Phoenix, MCAT Test Prep in Miami, SSAT Test Prep in Miami, SSAT Test Prep in New York City

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 Upper Level Math : Number Concepts and Operations

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Decimals With Fractions

Example Question #7 : Decimals With Fractions

Example Question #241 : Rational Numbers

Example Question #1371 : Ssat Upper Level Quantitative (Math)

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Example Question #11 : Decimals With Fractions

Example Question #301 : Number Concepts And Operations

Example Question #302 : Number Concepts And Operations

Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

Example Question #13 : Decimals With Fractions

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: