Call Now to Set Up Tutoring:

(888) 888-0446

GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

Create An Account

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #15 : Permutations

people are at a farewell party. At the end of the night, each person shakes hands. How many handshakes are made?

NOTE: No two people can shake hands more than once.

Possible Answers:

Correct answer:

Explanation:

Step 1: Determine how many people are there..
There are people.
Step 2: Determine how many people shake hands in a handshake...
people make one handshake.
Step 3: Determine how many handshakes can be made...
We have a restriction here, so we need to use permutation..

So, there will be 11P2 handshakes.

$11P2=\frac {11*10}{2*1}=11*5=55$ handshakes

Report an Error

Example Question #53 : Combinational Analysis

In how many ways can I rearrange the letters in the word "ANACONDA"?

Possible Answers:

4000

3830

3360

3000

Correct answer:

3360

Explanation:

Step 1: Count how many letters are in the word ANACONDA...

There are 8 letters.

Step 2: Count how many repeats of any letters (if any)..

There are A's and N's.

Step 3: Find how many ways I can rearrange...

$\frac {8!}{3!*2!}=\frac {8*7*6*5*4*3*2*1}{3*2*1*2*1}...$

$...=\frac {8*7*6*5*4}{2}=8*7*6*5*2=3360$

Report an Error

Example Question #101 : Other Topics

How many ways can I arrange the letters in the word TRIGONOMETRY ?

Possible Answers:

$\frac {12!}{2!\times2!\times3!}$

{12!}

${2!\times2!\times2!}$

$\frac {12!}{2!\times2!\times2!}$

Correct answer:

$\frac {12!}{2!\times2!\times2!}$

Explanation:

Step 1: Count how many numbers are in the word...

There are letters.

Step 2: Count the number of repeated letters...

There are T's

There are O's

There are R's

Step 3: To find how many ways I can arrange the letters, take the factorial of the total number of letters and divide it by the factorial of how many times a certain letter repeats...

So, $\frac {12!}{2!\times2!\times2!}$

Report an Error

Example Question #1 : Uniform Distribution

X is a continuously and uniformly distributed on the interval (0,50). Find the Expected Value (E[x]) and Variance (Var(x)) of X.

Possible Answers:

E[x]=25

Var(x)=208.33

E[x]=4.167

Var(x)=208.33

E[x]=4.167

Var(x)=1250

E[x]=25

Var(x)=2500

E[x]=25

Var(x)=200.166

Correct answer:

E[x]=25

Var(x)=208.33

Explanation:

Because x is a continuous uniform random variable the expected value and variance can be found with the following formulas:

$E[x]=\frac{a+b}{2}$

$Var(x)=\frac{(b-a)^2}{12}$

X is uniform on (a,b). In this case a is 0 and b is 50. Plugging the values of a and b into the given formulas will give the answers:

$E[x]=\frac{a+b}{2}=\frac{0+50}{2}=25$

$Var(x)=\frac{(b-a)^2}{12}=\frac{2500}{12}=208.33$

Report an Error

Example Question #1 : Binomial Distribution

A fair coin is tossed 15 times. What is the probability of observing less than 3 heads?

Possible Answers:

0.0032

0.125

0.0139

0.0037

0.5

Correct answer:

0.0037

Explanation:

This problem uses the Binomial Distribution: $\binom{n}{k}p^k(1-p)^{n-k}$

For this problem n is the number of trials, or 15. Because the problem stated that the coin was a fair coin the probability of heads is one half, or .5.

The binomial distribution is a discrete distribution so the expression x<3 has to be broken down.

Pr(x< 3)=Pr(x=0)+Pr(x=1)+Pr(x=2)

$Pr(x=0)=\begin{pmatrix} 15\\0 \end{pmatrix} (.5)^0(1-.5)^{15}=.000031$

$Pr(x=1)=\begin{pmatrix} 15\\1 \end{pmatrix} (.5)^1(1-.5)^{14}=.00046$

$Pr(x=2)=\begin{pmatrix} 15\\2 \end{pmatrix} (.5)^2(1-.5)^{13}=.0032$

Adding the probabilities will give the final answer.

.000031+.0046+.0032=.0037

Report an Error

Example Question #2 : How To Find Z Scores For A Data Set

The average score on the statistics final exam was 85 and the standard deviation was 2.5 . Chris scored a . Chris scored higher than what percent of his class?

Possible Answers:

95.7

Correct answer:

Explanation:

The first step in this problem is calculating the z-score. $z=( x-\mu)/\sigma$

(95-85)/2.5= 4

The next step is to look up 4 in the z-table. The value from the table is .

$1-.0000317\: is \: .9999683.$

Report an Error

Example Question #1 : How To Find Z Scores For A Data Set

What is the -score for a value of 115 when the mean of the population is 103 and the standard deviation is 8?

Possible Answers:

14.37

2.3

1.7

1.5

Correct answer:

1.5

Explanation:

A -score indicates whether a particular value is typical for a population or data set. The closer the -score is to 0, the closer the value is to the mean of the population and the more typical it is. The -score is calculated by subtracting the mean of a population from the particular value in question, then dividing the result by the population's standard deviation.

$z=\frac{X-\bar{X}}S{}$

(115-103)/8=1.5

Report an Error

Example Question #1 : Z Distribution

A population of values has a mean of 43 and a standard deviation of 12. One of the values in the population is 49. What is the Z-score for that value?

Possible Answers:

0.8

-0.8

0.05

0.5

Correct answer:

0.5

Explanation:

A Z-score indicates whether a particular value is typical for a population or data set. The closer the Z-score is to 0, the closer the value is to the mean of the population and the more typical it is. The Z-score is calculated by subtracting the mean of a population from the particular value in question, then dividing the result by the population's standard deviation.

Report an Error

Example Question #2 : Z Distribution

The z-score is also known as the standard score.

The average temperature for all the days preceding the last for the month of February was 55 degrees Farhenheit, with a standard deviation of 5 degrees.

On the last day, the temperature was 73 degrees F. What is the z-score for the temperature on the last day?

Possible Answers:

2.8

3.6

1.7

-3.6

Correct answer:

3.6

Explanation:

To find the z-score, follow the formula

$z=\frac{x-\mu}{\sigma }, x=score, \mu=mean, \sigma=S.D.$

$z=\frac{73-55}{5}$

z=3.6

Report an Error

Example Question #2 : How To Find Z Scores For A Data Set

A population has a standard deviation of 3.5 and a mean of 17.2 . One of the values in the population is 19.5 . What is the z score for that value?

Possible Answers:

1.3

0.66

-14.3

14.6

-0.6

Correct answer:

0.66

Explanation:

A z score is unique to each value within a population.

To find a z score, subtract the mean of a population from the particular value in question, then divide the result by the population's standard deviation.

$z=\frac{x-\mu}{\sigma}=\frac{19.5-17.2}{3.5}= \frac{2.3}{3.5}=0.6571$

Report an Error

View Tutors

Magdy
Certified Tutor

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

View Tutors

Samuel
Certified Tutor

York University, Bachelor, Physics. York University, Master's/Graduate, Mathematics and Statistics.

View Tutors

Mohammed
Certified Tutor

University of Maryland-College Park, Bachelor of Science, Electrical Engineering. University of Maryland-College Park, Master...

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Miami, Algebra Tutors in Los Angeles, GRE Tutors in Washington DC, Statistics Tutors in San Diego, ISEE Tutors in San Diego, SSAT Tutors in Miami, SAT Tutors in Los Angeles, Calculus Tutors in Dallas Fort Worth, English Tutors in Dallas Fort Worth, Reading Tutors in Washington DC

Popular Courses & Classes

LSAT Courses & Classes in Chicago, LSAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Atlanta, LSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Atlanta, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in Boston, ACT Courses & Classes in Houston

Popular Test Prep

SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Philadelphia, ISEE Test Prep in Boston, GRE Test Prep in San Diego, GMAT Test Prep in Chicago, ACT Test Prep in Houston, ACT Test Prep in Los Angeles, GMAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Phoenix, ISEE Test Prep in Miami

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

GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #15 : Permutations

Example Question #53 : Combinational Analysis

Example Question #101 : Other Topics

Example Question #1 : Uniform Distribution

Example Question #1 : Binomial Distribution

Example Question #2 : How To Find Z Scores For A Data Set

Example Question #1 : How To Find Z Scores For A Data Set

Example Question #1 : Z Distribution

Example Question #2 : Z Distribution

Example Question #2 : How To Find Z Scores For A Data Set

All GRE Subject Test: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: