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 #1311 : Ssat Middle Level Quantitative (Math)

Hexagon

The above hexagon is divided into triangles of equal size. The area of the shaded region is 72. Give the area of the entire hexagon.

Possible Answers:

$123 \frac{3}{7}$

$143 \frac{3}{7}$

$133 \frac{3}{7}$

$113 \frac{3}{7}$

Correct answer:

$123 \frac{3}{7}$

Explanation:

7 of the 12 triangles - that is, $\frac{7}{12}$ of the hexagon - is shaded, so, if we let be the area of the hexagon,

$\frac{7}{12} \cdot A = 72$

Solving:

$\frac{7}{12} \cdot A \div \frac{7}{12} = 72 \div \frac{7}{12}$

$A = 72 \cdot \frac{12}{7} = \frac{72 }{1}\cdot \frac{12}{7} = \frac{864}{7}$

$864 \div 7 = 123 \textrm{ R }3$ ,

so the area can be written as $123 \frac{3}{7}$ .

Report an Error

Example Question #163 : How To Divide Fractions

These figures are NOT necessarily drawn to scale

The shaded portions Figure 1 and Figure 2 are of equal area. Figure 1 has area 36; what is the area of Figure 2?

Possible Answers:

Correct answer:

Explanation:

Figure 1 is a rectangle divided into 24 squares of equal size; 8 of the squares are shaded, which means that $\frac{8}{24} = \frac{8 \div 8 }{24 \div 8} = \frac{1}{3}$ of Figure 1 is shaded. Since Figure 1 has area 36, the shaded portion has area

$\frac{1}{3} \times 36 = \frac{36}{3} = 12$ .

Figure 2 is a triangle divided into 4 triangles of equal size; 1 is shaded, which means that $\frac{1}{4}$ of Figure 2 is shaded. Since this shaded portion has area equal to that of Figure 1, which is 12, the area of all of Figure 2 is

$12 \div \frac{1}{4} = 12 \times 4 = 48$ .

Report an Error

Example Question #164 : How To Divide Fractions

Rectangles

Each of the rectangles in the above diagram has the same area, and is divided into squares of the same size and shape; the area of the shaded region is 10. Give the area of one of the four rectangles.

Possible Answers:

$2\frac{1}{2}$

$2\frac{2}{3}$

$2\frac{1}{3}$

$3\frac{1}{3}$

Correct answer:

$2\frac{2}{3}$

Explanation:

Each rectangle is divided into fourths, and fifteen fourths are shaded. If we let be the area of one rectangle, then, since the shaded region has area 10,

$\frac{15}{4} A = 10$

$\frac{4} {15}\cdot \frac{15}{4} A = \frac{4} {15}\cdot 10$

$A = \frac{4} {15}\cdot 10 = \frac{4} {15}\cdot \frac{10}{1} = \frac{40}{15} = \frac{8}{3} = 2\frac{2}{3}$

Report an Error

Example Question #21 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve:

$\small \frac{3}{12}\div\frac{1}{3}$

Possible Answers:

$\small \frac{12}9{}$

$\small \frac{36}{3}$

$\frac{3}{4}$

$\small \frac{3}{36}$

$\small \frac{1}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\small \frac{3}{12}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \small \frac{3}{12}\times\frac{3}{1}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced because both and are divisible by

$\frac{9}{12}\div\frac{3}{3}=\frac{3}{4}$

Report an Error

Example Question #22 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve:

$\small \frac{7}{8}\div\frac{1}{4}$

Possible Answers:

$\small \frac{32}{7}$

$\small \frac{7}{32}$

$\small \frac{8}{28}$

$\small \frac{9}{15}$

$3\frac{1}{2}$

Correct answer:

$3\frac{1}{2}$

Explanation:

$\small \frac{7}{8}\div\frac{1}{4}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{7}{8}\times\frac{4}{1}=\frac{28}{8}$

$\frac{28}{8}=3\frac{4}{8}=3\frac{1}{2}$ because can go into three times, with left over.

$\frac{4}{8}$ can be reduced because both and are divisible by .

$\frac{4}{8}\div\frac{4}{4}=\frac{1}{2}$

Report an Error

Example Question #201 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 10$ people are sharing a $\small 73$ -pound bag of peanuts. If the peanuts are distributed evenly, how many pounds of peanuts will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 8$ and $\small 9$

$\small 5$ and $\small 6$

$\small 6$ and $\small 7$

$\small 4$ and $\small 5$

$\small 7$ and $\small 8$

Correct answer:

$\small 7$ and $\small 8$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{73}{10}=7\frac{3}{10}$

$\small 10$ can go into $\small 73$ only $\small 7$ times with $\small \frac{3}{10}$ left over.

Report an Error

Example Question #174 : How To Divide Fractions

How many $\frac{1}{2}$ cup servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{2}\ cup$ servings are in cups, we are dividing by $\frac{1}{2}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{6}{1}\times\frac{2}{1}=\frac{12}{1}=12$

Report an Error

Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve the following:

$\small \frac{1}{2}\div\frac{2}{3}$

Possible Answers:

$\small \frac{1}{2}$

$\small \frac{3}{4}$

$\small \frac{3}2{}$

$\small \frac{1}{3}$

$\small \frac{5}{6}$

Correct answer:

$\small \frac{3}{4}$

Explanation:

$\small \frac{1}{2}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{2}\times\frac{3}{2}=\frac{3}{4}$

Report an Error

Example Question #5 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Christine has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{1}{14}lb$

$\frac{8}{7}lb$

$\frac{1}{4}lb$

$\frac{14}{2}lb$

$\frac{2}{7}lb$

Correct answer:

$\frac{1}{14}lb$

Explanation:

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div7$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{7}=\frac{1}{14}$

1 14

Report an Error

Example Question #402 : Fractions

$\small \frac{12}{13}\div\frac{2}{1}$

Possible Answers:

$\small \frac{9}{28}$

$\small \frac{10}{22}$

$\small \frac{14}{32}$

$\small \frac{12}{26}$

$\small \frac{7}{21}$

Correct answer:

$\small \frac{12}{26}$

Explanation:

$\small \frac{12}{13}\div\frac{2}{1}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{12}{13}\times\frac{1}{2}=\frac{12}{26}$

Report an Error

View SSAT- Middle Level Tutors

Carneta
Certified Tutor

Langston University, Bachelor in Arts, Theater Arts.

View SSAT- Middle Level Tutors

Christie
Certified Tutor

Elizabeth City State University, Bachelor of Education, Education. Gardner-Webb University, Masters in Education, Educational...

View SSAT- Middle Level Tutors

Denisha
Certified Tutor

Nova Southeastern University, Doctor of Medicine, Ayurvedic Medicine. Nova Southeastern University, Master in Public Health, ...

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 Houston, Statistics Tutors in Denver, Physics Tutors in Los Angeles, Calculus Tutors in Boston, Computer Science Tutors in Chicago, GRE Tutors in San Diego, Calculus Tutors in Chicago, MCAT Tutors in San Diego, Spanish Tutors in Seattle, Calculus Tutors in Atlanta

Popular Courses & Classes

GRE Courses & Classes in Miami, SAT Courses & Classes in Miami, SAT Courses & Classes in Seattle, GRE Courses & Classes in Los Angeles, GMAT Courses & Classes in Washington DC, GRE Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in New York City, LSAT Courses & Classes in Atlanta, ISEE Courses & Classes in San Diego, GMAT Courses & Classes in Phoenix

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Denver, SAT Test Prep in Houston, SAT Test Prep in Denver, GMAT Test Prep in Phoenix, SSAT Test Prep in Houston, GMAT Test Prep in Washington DC, MCAT Test Prep in Boston, ACT Test Prep in Chicago, SAT 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 : 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 #1311 : Ssat Middle Level Quantitative (Math)

Example Question #163 : How To Divide Fractions

Example Question #164 : How To Divide Fractions

Example Question #21 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #22 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #201 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #174 : How To Divide Fractions

Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #5 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #402 : 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: