Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : Percentages

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 #12 : How To Find The Part From The Whole With Percentage

What is $60\%$ of ?

Possible Answers:

Correct answer:

Explanation:

One way to figure out what number is a percentage of a larger number is to convert the percent into a decimal and multiply it by the whole number. Since $60\%$ is equal to 0.60 , multiply this by .

$90 \times 0.60=54$

is your answer.

Report an Error

Example Question #61 : Percentages

$64\%$ of what number is 8,000 ?

Possible Answers:

15,000

12,800

14,400

16,000

12,500

Correct answer:

12,500

Explanation:

Taking 64% of a number is the same as multiplying that number by 0.64 . We can find our number, therefore, by dividing 8,000 by 0.64 :

$8,000 \div 0.64 = 12,500$

Report an Error

Example Question #62 : Percentages

What is $125\%$ of 125 ?

Possible Answers:

100

156.25

137.5

150

132.5

Correct answer:

156.25

Explanation:

Rewrite $125\%$ as a decimal by writing 125 with a decimal point, then shifting it two spaces left:

$125.0\% = 1.25$

Multiply this by 125 :

$125 \times 1.25 = 156.25$

Report an Error

Example Question #62 : Percentages

Convert $23.2\%$ into a decimal.

Possible Answers:

23.2

0.232

232

0.0232

2.32

Correct answer:

0.232

Explanation:

In order to convert from a percentage to a decimal, simply remove the percentage and move the decimal place back two spaces or divide by 100.

$23.2\% = \frac{232}{100}= 0.232$

The decimal conversion is: 0.232

Report an Error

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What number increased by 25% is equal to 7?

Possible Answers:

$5\frac{5}{6}$

$5\frac{1}{4}$

$4\frac{2}{3}$

$5 \frac{3}{5}$

Correct answer:

$5 \frac{3}{5}$

Explanation:

To increase a number by 25% is to take

$(100 + 25) \% = 125 \%$ of the number, or, equivalently, multiply it by

$\frac{125}{100} = \frac{125 \div 25 }{100 \div 25 } = \frac{5}{4}$ .

Therefore, we divide 7 by $\frac{5}{4}$ :

$7 \div \frac{5}{4} = \frac{7 }{1}\div \frac{5}{4} = \frac{7 }{1}\times \frac{4} {5}= \frac{7\times 4 }{1\times 5} = \frac{28}{5}$

$28 \div 5 = 5 \textup{ R }3$ , so

$\frac{28}{5} = 5 \frac{3}{5}$ .

Report an Error

Example Question #5 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What number decreased by 25% is equal to 7?

Possible Answers:

$9 \frac{1}{7}$

$8\frac{3}{4}$

$9 \frac{1}{3}$

$8\frac{2}{5}$

Correct answer:

$9 \frac{1}{3}$

Explanation:

To decrease a number by 25% is to take

$(100 - 25) \% = 75 \%$ of the number, or, equivalently, multiply it by

$\frac{75}{100} = \frac{75 \div 25 }{100 \div 25 } = \frac{3}{4}$ .

Therefore, we divide 7 by $\frac{3}{4}$ :

$7 \div \frac{3}{4} = \frac{7 }{1}\div \frac{3}{4} = \frac{7 }{1}\times \frac{4} {3}= \frac{7\times 4 }{1\times 3} = \frac{28}{3}$

$28 \div 3 = 9 \textup{ R }1$ , so

$\frac{28}{3} = 9 \frac{1}{3}$ .

Report an Error

Example Question #583 : Concepts

What is $3 \frac{1}{2}$ increased by 30%?

Possible Answers:

$3 \frac{4}{5}$

$4 \frac{1}{5}$

$4 \frac{11}{2 0}$

$3 \frac{13}{2 0}$

Correct answer:

$4 \frac{11}{2 0}$

Explanation:

Increasing a number by 30% is equivalent to taking 130% of a number, which in turn is equivalent to multiplying it by

$\frac{130}{100} = \frac{130 \div 10}{100 \div 10} = \frac{13}{10}$ .

$3 \frac{1}{2}$ increased by 30% is the product of $3 \frac{1}{2}$ and $\frac{13}{10}$ :

$3 \frac{1}{2} \times \frac{13}{10}$

$= \frac{3 \times 2 + 1}{2} \times \frac{13}{10}$

$= \frac{7}{2} \times \frac{13}{10}$

$= \frac{7 \times 13}{2 \times 10}$

$= \frac{91}{2 0}$

$91 \div 20 = 4 \textup{ R }11$ , so this quantity is equal to $4 \frac{11}{2 0}$ , the correct answer.

Report an Error

Example Question #64 : Percentages

What is $3 \frac{1}{2}$ decreased by 40%?

Possible Answers:

$3 \frac{3}{10}$

$2 \frac{1 }{3}$

$1 \frac{4}{5}$

$2 \frac{1 }{10}$

Correct answer:

$2 \frac{1 }{10}$

Explanation:

Decreasing a number by 40% is equivalent to taking 60% of a number, which in turn is equivalent to multiplying it by

$\frac{60}{100} = \frac{60 \div 20}{100 \div 20} = \frac{3}{5}$ .

$3 \frac{1}{2}$ decreased by 40% is the product of $3 \frac{1}{2}$ and $\frac{3}{5}$ :

$3 \frac{1}{2} \times \frac{3}{5}$

$= \frac{3 \times 2 + 1}{2} \times \frac{3}{5}$

$= \frac{7}{2} \times \frac{3}{5}$

$= \frac{7\times 3 }{2\times 5}$

$= \frac{21 }{10}$

$21 \div 10 = 2 \textup{ R }1$ , so the correct response is $2 \frac{1 }{10}$ .

Report an Error

Example Question #63 : Percentages

6 decreased by what percent is $4\frac{2}{3}$ ?

Select the closest answer.

Possible Answers:

$15 \%$

$20 \%$

$25 \%$

$30 \%$

Correct answer:

$20 \%$

Explanation:

The difference of 6 and $4\frac{2}{3}$ is

$6 - 4\frac{2}{3}$

$= \frac{6 \times 3}{3} - \frac{4 \times 3+ 2}{3}$

$= \frac{18}{3} - \frac{14}{3}$

$= \frac{18-14}{3}$

$= \frac{ 4}{3}$ .

Therefore, 6 is being decreased by $\frac{ 4}{3}$ ; to find out what percent this is of 6, we calculate:

$\frac{\frac{ 4}{3}}{6} \times 100 \%$

$=\left ( \frac{ 4}{3} \div 6 \right ) \times 100 \%$

$=\left ( \frac{ 4}{3} \times \frac{1}{6} \right ) \times 100 \%$

$=\left ( \frac{ 2}{3} \times \frac{1}{3} \right ) \times \frac{100 }{1}\%$

$=\left ( \frac{ 2 \times 1 \times 100}{3 \times 3 \times 1} \right ) \%$

$= \frac{ 2 00}{9} \%$

$2 00 \div 9 = 22 \textup{ R 2}$ , so

$\frac{ 2 00}{9} \% = 22\frac{ 2 }{9} \%$ .

The answer that comes closest among the four choices is 20%.

Report an Error

Example Question #65 : Percentages

12 increased by what percent is $15\frac{1}{2}$ ?

Select the closest answer.

Possible Answers:

$25 \%$

$35 \%$

$20 \%$

$30 \%$

Correct answer:

$30 \%$

Explanation:

The difference of $15\frac{1}{2}$ and 12 is

$15\frac{1}{2} - 12= 3\frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}$ .

This represents an increase of

$\frac{\frac{7}{2}}{12} \times 100 \%$

$= \left ( \frac{7}{2} \div 12 \right ) \times 100 \%$

$= \left ( \frac{7}{2} \times \frac{1}{12 } \right ) \times \frac{100 }{1}\%$

$= \left ( \frac{7}{2} \times \frac{1}{3} \right ) \times \frac{25}{1}\%$

$= \frac{175}{6}\%$

$175 \div 6 = 29 \textup{ R }1$ , so this is $29 \frac{1}{6}\%$ .

Tthe response closest to the correct percent is 30%.

Report an Error

View Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View Tutors

Colton
Certified Tutor

Texas State University-San Marcos, Bachelor of Science, Mathematics.

View Tutors

Kevin
Certified Tutor

St. Johns University, Bachelors, Math/Coaching.

All HSPT Math Resources

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

Popular Subjects

Calculus Tutors in Chicago, GMAT Tutors in Boston, French Tutors in Washington DC, ACT Tutors in San Francisco-Bay Area, Biology Tutors in Miami, LSAT Tutors in Boston, Physics Tutors in New York City, Reading Tutors in Seattle, MCAT Tutors in Philadelphia, ACT Tutors in Philadelphia

Popular Courses & Classes

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

Popular Test Prep

ACT Test Prep in Dallas Fort Worth, GMAT Test Prep in Philadelphia, LSAT Test Prep in Los Angeles, SSAT Test Prep in Los Angeles, ACT Test Prep in Philadelphia, GRE Test Prep in Seattle, ACT Test Prep in Chicago, SSAT Test Prep in Boston, SAT Test Prep in Seattle, ACT 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

HSPT Math : Percentages

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #12 : How To Find The Part From The Whole With Percentage

Example Question #61 : Percentages

Example Question #62 : Percentages

Example Question #62 : Percentages

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #5 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #583 : Concepts

Example Question #64 : Percentages

Example Question #63 : Percentages

Example Question #65 : Percentages

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: