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 #114 : How To Find The Part From The Whole

The total weight of a troll’s lunch is 49lbs. The ratio of carrots to turnips is 3:4. How many pounds of turnips did the troll use to make his lunch?

Possible Answers:

$14\textsl{ pounds}$

$30\textsl{ pounds}$

$22\textsl{ pounds}$

$28\textsl{ pounds}$

Correct answer:

$28\textsl{ pounds}$

Explanation:

Determine the total parts of carrots and turnips in the troll’s lunch by adding them $(3+4=7\textsl{ total parts})$ .

Divide the total weight of the troll’s lunch by the number of parts to determine how many pounds per part $(\frac{49\textsl{ pounds}}{7\textsl{ parts}}=\frac{7\textsl{ pounds}}{1\textsl{ part}})$ .

Finally, multiply the parts of turnips (4) by the number of pounds/part.

Therefore, $4\cdot7=28\textsl{ pounds of turnips}$

Report an Error

Example Question #115 : How To Find The Part From The Whole

The ratio of tea to milk in Kelsey’s favorite drink is 5:2. The total volume of the drink is 14 ounces. How many ounces of Kelsey’s drink are tea?

Possible Answers:

$10 \textsl{ ounces}$

$5\textsl{ ounces}$

$20\textsl{ ounces}$

$15\textsl{ ounces}$

Correct answer:

$10 \textsl{ ounces}$

Explanation:

Determine the total parts of tea and milk in the drink by adding them $(5+2=7\textsl{ total parts})$ .

Divide the total volume of the drink by the number of parts in the drink to determine how many ounces per part $(\frac{14\textsl{ ounces}}{7 parts}=\frac{2\textsl{ ounces}}{1 part})$

Finally, multiply the parts of tea (5) by the number of ounces/part. Therefore, $5\cdot2=10\textsl{ ounces of tea}$ .

Report an Error

Example Question #114 : How To Find The Part From The Whole

Round 127.426 to the nearest tenth.

Possible Answers:

127.5

127.42

127.4

127.43

127.3

Correct answer:

127.4

Explanation:

When we round a number to the nearest tenth we look to the hundredths place to tell us if we round up or down.

$127.4{\color{Blue} 2}6$

If the number in our hundredths place is or greater, we round up. If the number in the hundredths place is or less, we round down. When we round up, the number in the hundredths place increases by and all the other numbers to the right become . When we round down, the number in the hundredths place stays the same and all the other numbers to the right become .

In this case, is less than so our rounded number is 127.400 or 127.4

Report an Error

Example Question #1141 : Ssat Middle Level Quantitative (Math)

is larger than 0. Which of the following could be equal to $3 \times Z$ ?

II. $2\frac{2}{7}$

III.

Possible Answers:

III only

II only

I, II and III

I and II

I only

Correct answer:

I, II and III

Explanation:

All of the answers can be divided by 3 to yield an answer larger than zero. In fact, any positive number would be a viable answer.

Report an Error

Example Question #2 : Fractions

Express the quotient as a fraction in lowest terms:

$5 \frac{3}{5} \div 4 \frac{1}{5}$

Possible Answers:

$\frac{4}{5}$

$1 \frac{3}{4}$

$1 \frac{1}{4}$

$\frac{3}{4}$

$1 \frac{1}{3}$

Correct answer:

$1 \frac{1}{3}$

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

$5 \frac{3}{5} \div 4 \frac{1}{5} = \frac{28}{5 } \div \frac{21}{5 } = \frac{28}{5 } \cdot \frac{5}{21 }= \frac{4}{1 } \cdot \frac{1}{3 }= \frac{4}{3 }$

Report an Error

Example Question #1142 : Ssat Middle Level Quantitative (Math)

Express the quotient as a fraction in lowest terms:

$4 \frac{1}{5} \div 5 \frac{3}{5}$

Possible Answers:

$\frac{5}{7}$

$\frac{3}{4}$

$1 \frac{1}{4}$

$1 \frac{1}{3}$

$\frac{6}{7}$

Correct answer:

$\frac{3}{4}$

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

$4 \frac{1}{5} \div 5 \frac{3}{5} = \frac{21}{5} \div \frac{28}{5} = \frac{21}{5} \cdot \frac{5}{28} = \frac{3}{1} \cdot \frac{1}{4} = \frac{3}{4}$

Report an Error

Example Question #1 : How To Divide Fractions

Evaluate:

$\frac{12}{5} \div \frac{4}{25}$

Possible Answers:

$\frac{3}{5}$

$\frac{5}{3}$

$\frac{1}{15}$

$\frac{8}{25}$

Correct answer:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{12}{5} \div \frac{4}{25} = \frac{12}{5} \times \frac{25}{4} = \frac{3}{1} \times \frac{5}{1} = \frac{15}{1} = 15$

Report an Error

Example Question #2 : How To Divide Fractions

Evaluate:

$\frac{4}{25} \div \frac{12}{5}$

Possible Answers:

$\frac{1}{15}$

$\frac{3}{5}$

$\frac{5}{3}$

$\frac{8}{25}$

Correct answer:

$\frac{1}{15}$

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{4}{25} \div \frac{12}{5} = \frac{4}{25} \times \frac{5}{12} = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}$

Report an Error

Example Question #1143 : Ssat Middle Level Quantitative (Math)

Evaluate:

$\frac{5}{8} \div \frac{25}{16}$

Possible Answers:

$\frac{2}{5}$

$\frac{1}{10}$

$\frac{5}{4}$

$\frac{5}{2}$

$\frac{4}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{5}{8} \div \frac{25}{16} = \frac{5}{8} \times \frac{16}{25} = \frac{1}{1} \times \frac{2}{5} = \frac{2}{5}$

Report an Error

Example Question #7 : Fractions

Evaluate:

$\frac{8}{5} \div \frac{24}{35}$

Possible Answers:

$\frac{1}{21}$

$\frac{7}{3}$

$\frac{8}{3}$

$\frac{3}{7}$

$\frac{3}{8}$

Correct answer:

$\frac{7}{3}$

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{8}{5} \div \frac{24}{35} = \frac{8}{5} \times \frac{35}{24} = \frac{1}{1} \times \frac{7}{3} =\frac{7}{3}$

Report an Error

View SSAT- Middle Level Tutors

Brandon
Certified Tutor

Flager College, Bachelor, Elementary Education .

View SSAT- Middle Level Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

View SSAT- Middle Level Tutors

Karen
Certified Tutor

Misericordia University, Bachelor of Science, Biology, General. Indiana University of Pennsylvania-Main Campus, Masters in Ed...

All SSAT Middle Level Math Resources

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

Popular Subjects

Calculus Tutors in San Diego, ACT Tutors in Miami, ISEE Tutors in Atlanta, MCAT Tutors in Dallas Fort Worth, Computer Science Tutors in Boston, Math Tutors in San Diego, Calculus Tutors in Dallas Fort Worth, Biology Tutors in Dallas Fort Worth, SSAT Tutors in Atlanta, ACT Tutors in Denver

Popular Courses & Classes

MCAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Phoenix, ACT Courses & Classes in Los Angeles, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in Chicago, SAT Courses & Classes in San Diego, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in New York City, MCAT Courses & Classes in Denver, ACT Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in Boston, SAT Test Prep in Denver, ISEE Test Prep in Seattle, ISEE Test Prep in Denver, SSAT Test Prep in Miami, SAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Philadelphia, MCAT Test Prep in Los Angeles, LSAT Test Prep in Dallas Fort Worth, MCAT 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

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 #114 : How To Find The Part From The Whole

Example Question #115 : How To Find The Part From The Whole

Example Question #114 : How To Find The Part From The Whole

Example Question #1141 : Ssat Middle Level Quantitative (Math)

Example Question #2 : Fractions

Example Question #1142 : Ssat Middle Level Quantitative (Math)

Example Question #1 : How To Divide Fractions

Example Question #2 : How To Divide Fractions

Example Question #1143 : Ssat Middle Level Quantitative (Math)

Example Question #7 : 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: