We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

Create An Account

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Area Of A Rectangle

10 < X < 20

Which is the greater quantity?

(a) The area of a rectangle with length 20 and width X + 10

(b) The area of a rectangle with length 10 and width X+20

Possible Answers:

(a) and (b) are equal

(b) is the greater quantity

(a) is the greater quantity

It is impossible to determine which is greater from the information given

Correct answer:

(a) is the greater quantity

Explanation:

The area of a rectangle is the product of its length and its width.

The rectangle described in (a) has area

$20 \cdot (X+10) = 20 X + 20 \cdot 10 = 20 X +100$

The rectangle described in (b) has area

$10 \cdot (X+20) = 10 X + 10 \cdot 20 = 10 X +100$

20 > 10 , and is positive, so 20 X> 10 X , and 20 X+ 100 > 10 X + 100 . The rectangle from (a) has the greater area.

Note that the value of has no bearing on the answer, except for the fact that it is positive.

Report an Error

Example Question #2 : How To Find The Area Of A Rectangle

Box

Figure NOT drawn to scale

The above diagram shows a rectangular solid. is an integer. Which is the greater quantity?

(a) The surface area of the solid

(b) 80x

Possible Answers:

(b) is the greater quantity

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(a) and (b) are equal

Correct answer:

(a) is the greater quantity

Explanation:

We can fill in a few edge lengths below:

Box

All six sides are rectangles, so their areas are equal to the products of their dimensions. We specifically notice that the top, bottom. front, and back each have area 20x . Since the total of these four areas is $4 \cdot 20x = 80 x$ . Since the left and right sides have not been included, the total surface area must be more than 80x .

Report an Error

Example Question #511 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is the area of the figure below?

Possible Answers:

59in^2

47in^2

24in^2

35in^2

52in^2

Correct answer:

59in^2

Explanation:

To find the area of the figure above, we need to split the figure into two rectangles.

12.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=7\times 5$ $A=6\times 4$

A=35in^2 A=24in^2

To find our final answer, we need to add the areas together.

35in^2+24in^2=59in^2

Report an Error

Example Question #512 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is the area of the figure below?

Possible Answers:

10in^2

22in^2

32in^2

28in^2

12in^2

Correct answer:

22in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

11.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=6\times 2$ $A=5\times 2$

A=12in^2 A=10in^2

To find our final answer, we need to add the areas together.

12in^2+10in^2=22in^2

Report an Error

Example Question #513 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is the area of the figure below?

Possible Answers:

18in^2

28in^2

32in^2

40in^2

14in^2

Correct answer:

32in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

10.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=7\times 2$ $A=6\times 3$

A=14in^2 A=18in^2

To find our final answer, we need to add the areas together.

14in^2+18in^2=32in^2

Report an Error

Example Question #514 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is the area of the figure below?

Possible Answers:

72in^2

112in^2

24in^2

96in^2

100in^2

Correct answer:

96in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

9.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=9\times 8$ $A=8\times 3$

A=72in^2 A=24in^2

To find our final answer, we need to add the areas together.

72in^2+24in^2=96in^2

Report an Error

Example Question #3 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

24in^2

8in^2

32in^2

12in^2

28in^2

Correct answer:

32in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

8.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=4\times 6$ $A=4\times 2$

A=24in^2 A=8in^2

To find our final answer, we need to add the areas together.

24in^2+8in^2=32in^2

Report an Error

Example Question #4 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

18in^2

9in^2

34in^2

25in^2

36in^2

Correct answer:

34in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

7.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=5\times 5$ $A=3\times 3$

A=25in^2 A=9in^2

To find our final answer, we need to add the areas together.

25in^2+9in^2=34in^2

Report an Error

Example Question #7 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

36in^2

40in^2

44in^2

48in^2

8in^2

Correct answer:

44in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

6.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=4\times 2$ $A=9\times 4$

A=8in^2 A=36in^2

To find our final answer, we need to add the areas together.

8in^2+36in^2=44in^2

Report an Error

Example Question #8 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

22in^2

40in^2

35in^2

9in^2

31in^2

Correct answer:

31in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

5.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=3\times 3$ $A=11\times 2$

A=9in^2 A=22in^2

To find our final answer, we need to add the areas together.

9in^2+22in^2=31in^2

Report an Error

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

View Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Dallas Fort Worth, Computer Science Tutors in Los Angeles, Statistics Tutors in Denver, MCAT Tutors in Boston, LSAT Tutors in Philadelphia, GMAT Tutors in Washington DC, GRE Tutors in Los Angeles, GMAT Tutors in Dallas Fort Worth, SAT Tutors in Seattle, LSAT Tutors in Los Angeles

Popular Courses & Classes

LSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Philadelphia, LSAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Houston, Spanish Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Miami, SAT Courses & Classes in Seattle, GMAT Courses & Classes in Atlanta

Popular Test Prep

LSAT Test Prep in Philadelphia, GMAT Test Prep in Philadelphia, ACT Test Prep in Philadelphia, ISEE Test Prep in New York City, ISEE Test Prep in Houston, SAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Boston, GRE Test Prep in Atlanta, LSAT Test Prep in Atlanta, GMAT Test Prep in Houston

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

ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : How To Find The Area Of A Rectangle

Example Question #2 : How To Find The Area Of A Rectangle

Example Question #511 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #512 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #513 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #514 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #3 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #4 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #7 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #8 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

All ISEE Middle Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: