Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Arithmetic

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #451 : Arithmetic

How many rational numbers are there between 0 and 5?

Possible Answers:

Infinitely many

Correct answer:

Infinitely many

Explanation:

Rational numbers are written in the form where ; therefore, we can write infinitely many combinations of rational numbers between 0 and 1, e.g. 1/2, 1/3, 1/4, 1/5, 1/6 . . . .

Report an Error

Example Question #131 : Fractions

A flight from Boston to Los Angeles lasts about 6 hours. The time zone difference is such that it is 3 hours later in Boston. If the flight leaves Boston at 8:00 AM, what will be the local time in Los Angeles when the plane arrives?

Possible Answers:

5:00 PM

1:00 PM

3:00 PM

11:00 AM

2:00 PM

Correct answer:

11:00 AM

Explanation:

The plane will land in Los Angeles at 2:00 PM Boston time (8:00 AM + 6 hours = 2:00 PM).

Going west, subtract the time zone difference. Going east, add the time zone difference.

So, 2:00 PM Boston time becomes 11:00 AM local time in Los Angeles (2:00 PM – 3 hours = 11:00 AM).

Report an Error

Example Question #452 : Arithmetic

How many rational numbers are between 1 and 2?

Possible Answers:

Just one

Infinitely many

Two: 1 and 2

None

Correct answer:

Infinitely many

Explanation:

The definition of a rational number is an integer or a fraction. We can take the fractions 3/2, 4/3, 5/4, 6/5, 7/6, 8/7,...and continue in this way to realize there are infinitely many rational numbers.

Report an Error

Example Question #453 : Arithmetic

John's shadow is six feet long, and Mary's shadow is five feet long. If John is four feet tall, which of the following is closest to Mary's height in inches?

Possible Answers:

$33\ inches$

$60\ inches$

$12\ inches$

$40\ inches$

$48\ inches$

Correct answer:

$40\ inches$

Explanation:

First we set up a proportion. Mary's shadow (5 feet) to John's shadow (6 feet) is equal to Mary's height (x feet) to John's height (4 feet), i.e. 5 / 6 = x / 4.

Solve for x by first cross-mulitplying: 20 = 6x.

Divide both sides by 6: x = 20 / 6 feet

Multiply by 12 to find this height in inches: 20 * 12 / 6 = 20 * 2 = 40 inches

Report an Error

Example Question #134 : Fractions

When two resistors ( $R_{1}$ and $R_{2}$ ) are added together in a parallel circuit to create an equivalent single resistor, the equivalent resistor ( $R_{eq}$ ) has a resistance defined by the following equation:

$\frac{1}{R_{eq}}= \frac{1}{R_{1}}+\frac{1}{R_{2}}$

If $R_{1}=10$ and $R_{2}=20$ , what does $R_{eq}$ equal?

Possible Answers:

$\frac{20}{3}$

None of the other answers

$\frac{3}{20}$

Correct answer:

$\frac{20}{3}$

Explanation:

Plugging $R_{1}=10$ and R_2=20 into the equation gives:

$\frac{1}{R_{eq}}=\frac{1}{10}+\frac{1}{20}$

Create a common denominator by multiplying $\frac{1}{10}$ by in the numerator and denominator:

$\frac{1}{R_{eq}}=\frac{2}{20}+\frac{1}{20}$

$\frac{1}{R_{eq}}=\frac{3}{20}$

Finally:

$R_{eq} = \frac{20}{3}$

Report an Error

Example Question #135 : Fractions

What does $\small \frac{\frac{2}{3}\times \frac{1}{4}}{\frac{2}{9}+\frac{1}{3}}$ equal?

Possible Answers:

$\frac{18}{35}$

$\frac{3}{10}$

$\frac{1}{2}$

$\frac{11}{17}$

$\frac{5}{54}$

Correct answer:

$\frac{3}{10}$

Explanation:

Simplify the numerator first: $\small \frac{2}{3}\times \frac{1}{4}=\frac{2}{12}=\frac{1}{6}$ .

Then, simplify the denominator: $\frac{2}{9}+\frac{1}{3}=\frac{2}{9}+\frac{3}{9}=\frac{5}{9}$ .

Next, you have to do $\frac{1}{6}\div \frac{5}{9}$ , which is the same as $\small \small \frac{1}{6}\times \frac{9}{5}=\frac{9}{30}=\frac{3}{10}$ , when solved for and simplified.

Report an Error

Example Question #454 : Arithmetic

Turn the following from a mixed number to an improper fraction:

$4\frac{7}{9}$

Possible Answers:

$\frac{37}{7}$

$\frac{43}{9}$

$\frac{13}{7}$

$\frac{28}{9}$

$\frac{11}{9}$

Correct answer:

$\frac{43}{9}$

Explanation:

To turn a mixed number into an improper fraction you must recognize the following:

$4\frac{7}{9}=4+\frac{7}{9}$

now we need to add 4 and seven ninths, to do that you multiply by a good form of 1

$4+\frac{7}{9}=\frac{9}{9}\cdot4+\frac{7}{9}=\frac{36}{9}+\frac{7}{9}$

now with the common denominator you can add the fractions to get

$\frac{43}{9}$

Report an Error

Example Question #455 : Arithmetic

Write $71\frac{5}{7}$ as an improper fraction.

Possible Answers:

$\frac{502}{7}$

$\frac{76}{8}$

$\frac{360}{7}$

$\frac{76}{7}$

$\frac{355}{7}$

Correct answer:

$\frac{502}{7}$

Explanation:

To find the improper fraction value, we must effectively add together 71 and ⁵/₇. To do this, we will give 71 a denominator of 7; therefore, we are transforming ⁷¹/₁ to ^x/₇. The shortest way to do this is to multiply by ⁷/₇ (which really is 1); therefore, 71 = 71 * (⁷/₇) = ⁴⁹⁷/₇.

Now add them: ^{(497 + 5)}/₇ = ⁵⁰²/₇

Report an Error

Example Question #4 : Mixed / Improper Fractions

Which of the following improper fractions is equivalent to $14\frac{2}{5}$ ?

Possible Answers:

$\frac{16}{5}$

$\frac{72}{5}$

$\frac{84}{3}$

$\frac{24}{5}$

$\frac{70}{5}$

Correct answer:

$\frac{72}{5}$

Explanation:

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting . Next, you add this to the numerator of your fraction, giving you 70+2 , or . Finally, you place this over your original denominator, giving you:

$\frac{72}{5}$

Report an Error

Example Question #456 : Arithmetic

Which of the following improper fractions is equivalent to $27\frac{4}{19}$ ?

Possible Answers:

$\frac{517}{19}$

$\frac{813}{17}$

$\frac{49}{19}$

$\frac{31}{19}$

$\frac{481}{19}$

Correct answer:

$\frac{517}{19}$

Explanation:

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting 513 . Next, you add this to the numerator of your fraction, giving you 513+4 , or 517 . Finally, you place this over your original denominator, giving you:

$\frac{517}{19}$

Report an Error

View ACT Math Tutors

Garth
Certified Tutor

View ACT Math Tutors

Steven
Certified Tutor

University of Puerto Rico, Bachelor of Science, Mathematics. Nova Southeastern University, Master of Arts, Mathematics Teache...

View ACT Math Tutors

Megan
Certified Tutor

University of Wisconsin-Madison, Bachelor of Science, Chemical Engineering.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GRE Courses & Classes in Boston, MCAT Courses & Classes in Phoenix, Spanish Courses & Classes in Phoenix, ACT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in San Diego, SSAT Courses & Classes in New York City, SSAT Courses & Classes in Washington DC, SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Miami, ACT Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in San Diego, MCAT Test Prep in Chicago, SSAT Test Prep in Boston, ACT Test Prep in Denver, MCAT Test Prep in Philadelphia, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Miami, ISEE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Atlanta, ACT 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

ACT Math : Arithmetic

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #451 : Arithmetic

Example Question #131 : Fractions

Example Question #452 : Arithmetic

Example Question #453 : Arithmetic

Example Question #134 : Fractions

Example Question #135 : Fractions

Example Question #454 : Arithmetic

Example Question #455 : Arithmetic

Example Question #4 : Mixed / Improper Fractions

Example Question #456 : Arithmetic

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: