Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

Create An Account

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #211 : Plane Geometry

A rectangular garden has an area of $80\: \mbox{m^2}$ . Its length is meters longer than its width. How much fencing is needed to enclose the garden?

Possible Answers:

$24\: \mbox{meters}$

$18\: \mbox{meters}$

$54\: \mbox{meters}$

$36\: \mbox{meters}$

$40\: \mbox{meters}$

Correct answer:

$36\: \mbox{meters}$

Explanation:

We define the variables as $w = \mbox{width}$ and $l = \mbox{length} = w + 2$ .

We substitute these values into the equation for the area of a rectangle and get $A_{\mbox{rectangle} }= wl = w(w + 2) = 80$ .

w^2 +2w-80=0

(w - 8)(w + 10) = 0

w = 8 or w = -10

Lengths cannot be negative, so the only correct answer is w = 8 . If w = 8 , then l = 10 .

Therefore, $\mbox{perimeter }= 2w + 2l = 16 + 20 = 36\:\mbox{m}$ .

Report an Error

Example Question #261 : Hspt Mathematics

What is the perimeter of a square with a diagonal of $\sqrt2$ ?

Possible Answers:

$2\sqrt2$

$4\sqrt2$

Correct answer:

Explanation:

To find the perimeter of the square, find the length of the side. Write the formula to find the length of the side.

$d=\sqrt{s^2+s^2}$

Substitute the diagonal and solve for the side.

$\sqrt2=\sqrt{s^2+s^2}$

First, square each side to get rid of the square root.

2=2s^2

Divide 2 by each side to isolate the s^2

1=s^2

Take the square root of each side.

1=s

Since there are four sides in a square, multiply the side length by four to get the perimeter.

P=4(1)=4

Report an Error

Example Question #262 : Hspt Mathematics

An equilateral triangle has a length of -x-4 . What is the perimeter?

Possible Answers:

-3x+12

-3x-4

3x+4

-3x-9

-3x-12

Correct answer:

-3x-12

Explanation:

The perimeter of an equilateral triangle is three times the length of its side.

P=3(-x-4) = -3x-12

Report an Error

Example Question #263 : Hspt Mathematics

What is the perimeter of a square with a side length of a-1 ?

Possible Answers:

a^2-4

4a-4

4a^2-4

4a+4

a-4

Correct answer:

4a-4

Explanation:

Write the perimeter formula for a square.

P=4s

Substitute the side length in the formula and simplify.

P=4(a-1)= 4a-4

Report an Error

Example Question #11 : How To Find The Perimeter Of A Figure

A circle has radius 8. The circumference of the circle is 40% of what number?

Possible Answers:

$80 \pi$

$40 \pi$

$2 0 \pi$

$25 \pi$

Correct answer:

$40 \pi$

Explanation:

The circumference of a circle is its radius mulitplied by $2 \pi$ . The radius is 8, so the circumference is

$8 \cdot 2 \pi = 16 \pi$ .

To find the number of which this is 40%, divide this by 40%, or $\frac{40 }{100}$ :

$16 \pi \div\frac{40 }{100} = 16 \pi \div\frac{2}{5} = 16 \pi \cdot \frac{5} {2} = \frac{80 \pi} {2} = 40 \pi$

Report an Error

Example Question #12 : How To Find The Perimeter Of A Figure

$\bigtriangleup ABC \sim \bigtriangleup DEF$ .

$\angle B$ is a right angle.

$m \angle C = 45 ^{\circ }$ .

Is $\bigtriangleup DEF$ scalene, isosceles, or equilateral - or can it be determined?

Possible Answers:

Whether $\bigtriangleup DEF$ is scalene, isosceles, or equilateral cannot be determined.

$\bigtriangleup DEF$ is an equilateral triangle.

$\bigtriangleup DEF$ is a isosceles triangle, but not equilateral.

$\bigtriangleup DEF$ is a scalene triangle.

Correct answer:

$\bigtriangleup DEF$ is a isosceles triangle, but not equilateral.

Explanation:

Corresponding angles of similar triangles are congruent, so

$m \angle E = m \angle B = 90 ^{\circ }$

$m \angle F = m \angle C = 45 ^{\circ }$

The degree measures of the angles of a triangle total 180, so

$m \angle D =180^{\circ } - (m \angle F +m \angle E )$

$m \angle D =180^{\circ } - (90^{\circ } +45^{\circ } ) = 45^{\circ }$

Since $\angle D$ and $\angle F$ are congruent, by the Isosceles Triangle Theorem,

$\overline{EF} \cong \overline{DE}$

making $\bigtriangleup DEF$ isosceles.

Report an Error

Example Question #263 : Problem Solving

A ladder 30 feet long leans against a house. The top of the ladder is feet above the ground. In terms of , how far along the ground is the bottom of the ladder from the house?

Possible Answers:

30 + N

$\sqrt{900 + N^{2}}$

$\sqrt{900 - N^{2}}$

30 - N

Correct answer:

$\sqrt{900 - N^{2}}$

Explanation:

The ladder, which is 30 feet long, is the hypotenuse of a right triangle whose legs are the line from the top of the ladder to the ground, which has length feet, and the line from the bottom of the ladder horizontally to the house, whose length we will call feet. See the diagram below.

Ladder

By the Pythagorean Theorem,

$M^{2}+N^{2} = 30 ^{2} = 900$

Solving for :

$M^{2}+N^{2} - N^{2} = 900 - N^{2}$

$M^{2}= 900 - N^{2}$

$M = \sqrt{900 - N^{2}}$ , the correct choice.

Report an Error

Example Question #6 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

48in

45in

46in

47in

43in

Correct answer:

48in

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

9+15+6+8+3+7=48

Report an Error

Example Question #7 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

32in

31in

33in

38in

30in

Correct answer:

32in

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

8+7+4+1+4+8=32

Report an Error

Example Question #8 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

42in

40in

44in

43in

41in

Correct answer:

42in

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

12+5+8+4+4+9=42

Report an Error

View Tutors

Mark
Certified Tutor

Eastern Michigan University, Bachelor of Science, Education of Individuals in Secondary Special Education Programs. Eastern M...

View Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

View Tutors

Sharon
Certified Tutor

Tabor College, Bachelor of Science, Mathematics Teacher Education. Tabor College, Masters in Education, Education.

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in San Francisco-Bay Area, SSAT Tutors in Houston, SAT Tutors in Atlanta, Spanish Tutors in New York City, SAT Tutors in Chicago, Physics Tutors in Miami, SSAT Tutors in Denver, Statistics Tutors in Miami, Calculus Tutors in Houston, Statistics Tutors in Seattle

Popular Courses & Classes

ISEE Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in New York City, GMAT Courses & Classes in New York City, Spanish Courses & Classes in Atlanta, GMAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in Seattle, GMAT Courses & Classes in Boston, GRE Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Atlanta

Popular Test Prep

GMAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Miami, SSAT Test Prep in Seattle, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Atlanta, GRE Test Prep in New York City, SSAT Test Prep in Atlanta, MCAT Test Prep in Seattle, MCAT Test Prep in Chicago, MCAT Test Prep in Denver

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

HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #211 : Plane Geometry

Example Question #261 : Hspt Mathematics

Example Question #262 : Hspt Mathematics

Example Question #263 : Hspt Mathematics

Example Question #11 : How To Find The Perimeter Of A Figure

Example Question #12 : How To Find The Perimeter Of A Figure

Example Question #263 : Problem Solving

Example Question #6 : Parallelograms

Example Question #7 : Parallelograms

Example Question #8 : Parallelograms

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: