Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : Arithmetic

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1341 : Sat Mathematics

If Ben is taller than Jaime, Mary is taller than Ben, and Chris is taller than Mary. Who is the second tallest?

Possible Answers:

Jaime

Mary

Not possible to tell

Ben

Chris

Correct answer:

Mary

Explanation:

Using math symbols to dictate height we find that Ben>Jaime, Mary>Ben, Chris>Mary. Putting these in order we have Chris>Mary, Mary>Ben, Ben>Jaime. This shows that Mary is the second tallest.

Report an Error

Example Question #1 : Fractions

Order the following fractions in descending order.

¹/₂, ²/₃, ²/₅, ³/₄, ⁴/₇

Possible Answers:

²/₃, ⁴/₇, ³/₄, ¹/₂, ²/₅

³/₄, ²/₃, ⁴/₇, ¹/₂, ²/₅

²/₅, ¹/₂, ³/₄, ⁴/₇, ²/₃

¹/₂, ²/₃, ²/₅, ³/₄, ⁴/₇

²/₅, ¹/₂, ⁴/₇, ²/₃, ³/₄

Correct answer:

³/₄, ²/₃, ⁴/₇, ¹/₂, ²/₅

Explanation:

Method 1:

Find the common denominator (420) and convert each fraction to this denominator:

¹/₂ = 210/420

²/₃ = 280/420

²/₅ = 168/420

³/₄ = 315/420

⁴/₇ = 240/420

Now sort by numerator, largest to smallest.

Method 2:

Divide each fraction to obtain a decimal. Sort the decimals, largest to smallest.

Report an Error

Example Question #1 : Fractions

Increasing_n1

Possible Answers:

I and III only

I and II only

II and III only

II only

I only

Correct answer:

I and III only

Explanation:

Increasing_n2

Increasing_n4

Report an Error

Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Which of the following fractions is between 0.2 and 0.3?

Possible Answers:

$\dpi{100} \small \frac{2}{3}$

$\dpi{100} \small \frac{1}{6}$

$\dpi{100} \small \frac{1}{2}$

$\dpi{100} \small \frac{1}{4}$

$\dpi{100} \small \frac{1}{3}$

Correct answer:

$\dpi{100} \small \frac{1}{4}$

Explanation:

$\dpi{100} \small \frac{1}{4}=0.25$

$\dpi{100} \small 0.2<0.25<0.3$

$\dpi{100} \small \frac{1}{6}\approx 0.167<0.2$

The other three choices are larger than 0.3.

Report an Error

Example Question #2 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Which of the following fractions is the greatest?

Possible Answers:

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{25}{28}$

$\frac{20}{23}$

$\frac{7}{10}$

Correct answer:

$\frac{25}{28}$

Explanation:

The trick to this problem is to see that three of the choices have the numerator and denominator 3 units apart. The other two choices can be made three units apart as well- multiply both $\frac{3}{4}$ and $\frac{2}{3}$ by $\frac{3}{3}$ to get them to be $\frac{9}{12}$ and $\frac{6}{9}$ , respectively.

The trick is that once all fractions are the same units apart in denominator and numerator, the biggest number is the largest fraction.

Report an Error

Example Question #3 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following from least to greatest: three-fifths, seven-eighths, 0.5, sixteen-eighteenths, 97%, 17-fifths.

Possible Answers:

0.5 , three-fifths, seven-eighths, sixteen-eighteenths, -fifths, $97\%$

0.5 , three-fifths, seven-eighths, sixteen-eighteenths, $97\%$ , -fifths

0.5 , $97\%$ , three-fifths, seven-eighths, sixteen-eighteenths, -fifths

three-fifths, 0.5 , $97\%$ , seven-eighths, sixteen-eighteenths, -fifths

0.5 , three-fifths, sixteen-eighteenths, seven-eighths, $97\%$ , -fifths

Correct answer:

0.5 , three-fifths, seven-eighths, sixteen-eighteenths, $97\%$ , -fifths

Explanation:

We need to order: three fifths, seven eights, 0.5, sixteen eighteenths, 97%, seventeen fifths.

Let us re-write each as a fraction: $\frac{3}{5}$ , $\frac{7}{8}$ , $\frac{1}{2}$ , $\frac{16}{18}=\frac{8}{9}$ , $\frac{97}{100}$ , and $\frac{17}{5}$ . We can now easily order these:

$\frac{1}{2},\frac{3}{5},\frac{7}{8},\frac{8}{9},\frac{97}{100},\frac{17}{5}$

Report an Error

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Which of the following numbers is between 1/5 and 1/6?

Possible Answers:

0.25

0.22

0.16

0.13

0.19

Correct answer:

0.19

Explanation:

Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.

Report an Error

Example Question #1 : Decimals With Fractions

Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?

Possible Answers:

2/7

3/5

1/10

9/15

8/9

Correct answer:

2/7

Explanation:

Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.

Report an Error

Example Question #1 : Fractions And Percentage

If there are 3 boys in a class and 7 girls. What percent of the class is made up of boys?

Possible Answers:

30%

25%

70%

Correct answer:

30%

Explanation:

To solve this problem we set up a ratio of part of total. The part is the number of boys in the class and the total is the number of boys and girls in the class.

$\frac{3}{10}$

now to find the percent we can multiply this fraction by 10/10

$\frac{3}{10}*\frac{10}{10}=\frac{30}{100}$

From here we can see that it is 30%

Report an Error

Example Question #1 : Fractions And Percentage

Marker Colors	Students
Blue	13
Pink	10
Orange	5
Brown	5
Green	7

The above chart shows the number of students in a class who chose each of the five marker colors available.

What percentage of the class chose a green marker?

Possible Answers:

$20\%$

$7\%$

$13.5\%$

$17.5\%$

$40\%$

Correct answer:

$17.5\%$

Explanation:

To figure out what percentage of the class chose green markers, you must first figure out what fraction of the class chose green markers. Then, you must convert that fraction into a percentage.

Figure out the fraction:

7 students chose green markers

40 students total

Fraction of students who chose green: $\frac{7}{40}$

To convert this fraction to a percentage, you must multiply the fraction times 100, then divide the numerator by the denominator. You multiply the fraction times 100 because in order to figure out the percent, you must figure out what the fraction means "for (per) every hundred (cent)".

$\frac{7}{40}$

Multiply times 100

$\frac{7}{40} \times 100 = \frac{700}{40}$

$700\div40 = 17.5$

Therefore, the answer is $17.5\%$ .

Report an Error

View PSAT Mathematics Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

View PSAT Mathematics Tutors

Delilah
Certified Tutor

Emory University, Bachelor in Arts, Political Science and Government.

View PSAT Mathematics Tutors

Michael
Certified Tutor

University of Massachusetts Amherst, Bachelor in Arts, Political Science and Government. University of Massachusetts Amherst,...

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Chicago, Calculus Tutors in Washington DC, Math Tutors in Phoenix, SSAT Tutors in San Francisco-Bay Area, French Tutors in Denver, Spanish Tutors in Philadelphia, SAT Tutors in Phoenix, French Tutors in Houston, Chemistry Tutors in Chicago, Calculus Tutors in New York City

Popular Courses & Classes

ACT Courses & Classes in Atlanta, ACT Courses & Classes in Philadelphia, SAT Courses & Classes in San Diego, SAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Phoenix, SSAT Courses & Classes in Seattle, SAT Courses & Classes in Miami, SAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Chicago, GRE Courses & Classes in Philadelphia

Popular Test Prep

SAT Test Prep in Chicago, MCAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in San Diego, ISEE Test Prep in Denver, GMAT Test Prep in Phoenix, MCAT Test Prep in Atlanta, GMAT Test Prep in Washington DC, ACT Test Prep in Philadelphia, MCAT Test Prep in Denver, ACT 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

PSAT Math : Arithmetic

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #1341 : Sat Mathematics

Example Question #1 : Fractions

Example Question #1 : Fractions

Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #2 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #3 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Example Question #1 : Decimals With Fractions

Example Question #1 : Fractions And Percentage

Example Question #1 : Fractions And Percentage

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: