Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : Numbers and Operations

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

Write as a decimal:

$\frac{5}{18}$

Possible Answers:

$0.\overline{277}$

$0.\overline{27}$

$0.2\overline{7}$

0.2727

0.27

Correct answer:

$0.2\overline{7}$

Explanation:

$5 \div 18 = 0.27777...$

That is, after the 2, the digit 7 repeats infinitely. This can be rewritten as $0.2\overline{7}$ .

Report an Error

Example Question #1311 : Numbers And Operations

Express $\frac{9}{20}$ as a decimal.

Possible Answers:

0.35

0.36

0.33

0.45

0.27

Correct answer:

0.45

Explanation:

Divide the numerator by the denominator:

$9 \div 20 = 0.45$

Report an Error

Example Question #831 : Fractions

Write as a fraction in lowest terms: $0.2\overline{6}$

Possible Answers:

$\frac {2}{15}$

$\frac {4}{15}$

$\frac {5}{33}$

$\frac {29}{99}$

$\frac {13}{50}$

Correct answer:

$\frac {4}{15}$

Explanation:

We can use algebra to find the fraction by setting $N = 0.2\overline{6}$ . Then:

$100 \cdot N = 100 \cdot 0.2666...$

100N = 26.666...

and

$10 \cdot N = 10 \cdot 0.2666...$

10N = 2.666...

Subtract as follows:

100N = 26.666...

$\underline{-10N = 2.666}$

90N = 24

$90N \div 90 = 24\div 90$

$N = \frac {24}{90} = \frac {24 \div 6}{90\div 6} = \frac {4}{15}$

Report an Error

Example Question #832 : Fractions

$10 +\tfrac{3}{20}$

Possible Answers:

10.05

10.20

10.30

10.15

Correct answer:

10.15

Explanation:

The question is asking you to add the two numbers and find its equivalent in decimal form. Naturally,

$10 + \tfrac{3}{20} = 10 \tfrac{3}{20}$

We must find out how to represent $\tfrac{3}{20}$ as a decimal in order to solve the problem. To find the decimal form, divide 1.00 by 20.

$1.00 \div 20 = 0.05$

You divide by 1.00 because decimals are based off of this number (fractions are based on 1 and percents on 100%). The answer 0.05 is exactly $\tfrac{1}{20}$ . In order to figure out what the equivalent of $\tfrac{3}{20}$ is, simply multiply your answer by the numerator, 3.

$3 \times 0.05 = 0.15$

Your answer is 10.15

Report an Error

Example Question #1971 : Ssat Middle Level Quantitative (Math)

What is the decimal equivalent of $\frac{2}{5}$ ?

Possible Answers:

0.4

0.52

0.5

0.2

4.4

Correct answer:

0.4

Explanation:

To find the decimal equivalent of a fraction, convert the fraction's denominator to a factor of . In this problem, we can convert the denominator to by multiplying both the top and bottom of the fraction by :

$\frac{2}{5}\cdot\frac{2}{2}=\frac{4}{10}$ , which is equivalent to 0.4

Report an Error

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

What is the decimal equivalent of $\frac{3}{5}$ ?

Possible Answers:

0.4

0.5

1.3

1.6

0.6

Correct answer:

0.6

Explanation:

To find the decimal equivalent of a fraction, convert the denominator of the fraction to a factor of .

$\frac{3}{5}=\frac{6}{10}$ , which is equal to 0.6 .

Report an Error

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

Write $\frac{11}{12}$ as a decimal.

Possible Answers:

$0.91\overline{67}$

$0.9\overline{1}$

0.9167

$0.91\overline{6}$

0.916

Correct answer:

$0.91\overline{6}$

Explanation:

Divide 11 by 12.

$11 \div 12 = 0.91666...$

Note that the "6" repeats forever. This can be written as $0.91\overline{6}$ .

Report an Error

Example Question #836 : Fractions

Arrange these numbers from least to greatest:

$\left \{ -0.44404, -0.44044, -0.40444, \right \}$

Possible Answers:

$\left \{ -0.44404, -0.44044, -0.40444 \right \}$

$\left \{ -0.40444,-0.44404, -0.44044 \right \}$

$\left \{ -0.44404,-0.40444, -0.44044 \right \}$

$\left \{ -0.40444,-0.44044, -0.44404 \right \}$

$\left \{ -0.40444 , -0.44404, -0.44044\right \}$

Correct answer:

$\left \{ -0.44404, -0.44044, -0.40444 \right \}$

Explanation:

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

$\left \{ 0.44404, 0.44044, 0.40444 \right \}$

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

$\left \{ 0.44404, 0.44044, 0.40444 \right \}$ ,

and in ascending order, the numbers are

$\left \{ -0.44404, -0.44044, -0.40444 \right \}$ .

Report an Error

Example Question #13 : How To Find The Decimal Equivalent Of A Fraction

How many of the following four numbers are elements of the set $B = \left \{ x \; | \; \frac{2}{5}< x < \frac{3}{5}\right \} ?$ ?

(A) 0.44

(B) 0.55

(D) 0.77

Possible Answers:

Four

Two

None

One

Three

Correct answer:

Two

Explanation:

$\frac{2}{5} = 2 \div 5 = 0.4$ and $\frac{3}{5} = 3 \div 5 = 0.6$ , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

Report an Error

Example Question #838 : Fractions

Arrange these numbers from least to greatest:

$\left \{ -\frac{3}{5}, -\frac{13}{20}, -\frac{16}{25} \right \}$

Possible Answers:

$\left \{ -\frac{13}{20}, -\frac{16}{25}, -\frac{3}{5} \right \}$

$\left \{ -\frac{3}{5} , -\frac{16}{25}, -\frac{13}{20} \right \}$

$\left \{ -\frac{13}{20}, -\frac{3}{5}, -\frac{16}{25} \right \}$

$\left \{-\frac{16}{25}, -\frac{13}{20}, -\frac{3}{5} \right \}$

$\left \{ -\frac{3}{5} , -\frac{13}{20}, -\frac{16}{25} \right \}$

Correct answer:

$\left \{ -\frac{13}{20}, -\frac{16}{25}, -\frac{3}{5} \right \}$

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$-\frac{3}{5} = -3 \div 5 = -0.6$

$-\frac{13}{20} = -13 \div 20 = - 0.65$

$-\frac{16}{25} = -16 \div 25 = -0.64$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.65, 0.64, 0.6\right \}$

so, in ascending order, the numbers themselves are

$\left \{ -0.65,- 0.64,- 0.6\right \}$ ,

or, as fractions,

$\left \{ -\frac{13}{20}, -\frac{16}{25}, -\frac{3}{5} \right \}$ .

Report an Error

View SSAT- Middle Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View SSAT- Middle Level Tutors

Carneta
Certified Tutor

Langston University, Bachelor in Arts, Theater Arts.

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

GRE Tutors in Seattle, GRE Tutors in Washington DC, French Tutors in Denver, ACT Tutors in Seattle, SSAT Tutors in Philadelphia, ACT Tutors in Houston, GMAT Tutors in Boston, Physics Tutors in Dallas Fort Worth, SAT Tutors in Houston, English Tutors in Washington DC

Popular Courses & Classes

SSAT Courses & Classes in Denver, SAT Courses & Classes in Denver, SAT Courses & Classes in Chicago, Spanish Courses & Classes in Denver, MCAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in Washington DC, ISEE Courses & Classes in Atlanta, GRE Courses & Classes in Seattle, ACT Courses & Classes in San Diego

Popular Test Prep

SAT Test Prep in Washington DC, SAT Test Prep in Los Angeles, ACT Test Prep in Seattle, SAT Test Prep in Seattle, GMAT Test Prep in New York City, GMAT Test Prep in Atlanta, ACT Test Prep in Chicago, GMAT Test Prep in Seattle, SSAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Philadelphia

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 : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

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

Example Question #1311 : Numbers And Operations

Example Question #831 : Fractions

Example Question #832 : Fractions

Example Question #1971 : Ssat Middle Level Quantitative (Math)

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

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

Example Question #836 : Fractions

Example Question #13 : How To Find The Decimal Equivalent Of A Fraction

Example Question #838 : Fractions

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: