Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Number Concepts and Operations

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Number Concepts And Operations

What is the ratio of $\dpi{100} 6\ inches$ to $\dpi{100} 12\ feet$

Possible Answers:

$\dpi{100} 1:6$

$\dpi{100} 1:24$

$\dpi{100} 1:12$

$\dpi{100} 1:2$

Correct answer:

$\dpi{100} 1:24$

Explanation:

First, we need to convert 6 inches into feet.

There are 12 inches in a foot. $\dpi{100} \frac{6\ inches}{12\ inches}=\frac{1}{2}$ .

So 6 inches is equal to $\dpi{100} \frac{1}{2}$ feet. Now our ratio is $\dpi{100} \frac{1}{2}$ to $\dpi{100} 12$ . To find this ratio we divide 12 by $\dpi{100} \frac{1}{2}$ .

$\dpi{100} 12\div \frac{1}{2}=12\times \frac{2}{1}=12\times 2=24$ .

So the ratio is 1:24.

Report an Error

Example Question #1 : How To Solve Arithmetic Word Problems

What is the ratio of 3 gallons to 5 quarts?

Possible Answers:

$\dpi{100} 12:5$

$\dpi{100} 5:3$

$\dpi{100} 3:5$

$\dpi{100} 3:1$

Correct answer:

$\dpi{100} 12:5$

Explanation:

First convert gallons to quarts. There are 4 quarts in a gallon. So 3 gallons is equivalent to $\dpi{100} 4\times 3=12$ quarts.

Now we have 12 quarts to 5 quarts. This ratio cannot reduce, so our answer is 12:5.

Report an Error

Example Question #1 : Number Concepts And Operations

Bob gets paid $\$5.25$ an hour for the regular hours he works and $\$6$ an hour for any overtime hours he works. All hours over 40 in a week are considered overtime. If Bob works 44 hours this week, how much did he make?

Possible Answers:

$\$264$

$\$285$

$\$495$

$\$234$

$\$231$

Correct answer:

$\$234$

Explanation:

You first calculate how much he makes for normal hours, which is the number of hours works multiplied by the wage. So for normal hours, $40\times5.25 = \$210$ . For overtime, it is $4\times6 = 24$ . Add the amount made in overtime and the normal hours and you get $\$234$ .

Report an Error

Example Question #2 : Number Concepts And Operations

There are 500 students at the high school. There are only two menu options: chicken or fish. If 15% of students ordered fish, how many students ordered chicken?

Possible Answers:

$75\ students$

$85\ students$

$425\ students$

$450\ students$

$325\ students$

Correct answer:

$425\ students$

Explanation:

If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or $.85\times 500 = 425$ .

Report an Error

Example Question #3 : Number Concepts And Operations

1 mile = 5280 feet

If Greg's house is 5.3 miles away, how far is it in feet?

Possible Answers:

$27,566\ feet$

$26,000\ feet$

$26,400\ feet$

$25,324\ feet$

$27,984\ feet$

Correct answer:

$27,984\ feet$

Explanation:

Using the conversion formula, you would multiply 5.3 miles by 5280 feet and you will get 27,984 feet.

Report an Error

Example Question #2 : How To Solve Arithmetic Word Problems

Convert 15.68 to a percent.

Possible Answers:

15680%

156.8%

15.68%

1.568%

1568%

Correct answer:

1568%

Explanation:

To convert a number to a percent, you just multiply it by 100 . So 15.68 = 1568 %.

Report an Error

Example Question #1 : How To Solve Arithmetic Word Problems

What number can 1536 be divided by that would give no remainder?

Possible Answers:

Correct answer:

Explanation:

$1536\div4 = 384$

Report an Error

Example Question #4 : Number Concepts And Operations

Candidate A gets $\frac{2}{7}$ of the votes in an election.

Candidate B gets 35% of the votes.

If 2.8 million people votes, how many more votes than Candidate A did Candidate B receive?

Possible Answers:

120,000

225,000

360,000

180,000

150,000

Correct answer:

180,000

Explanation:

First we need to get $\frac{2}{7}$ and 35% in the same terms so that we can subtract one from the other. Since 7ths are repeating decimals, it will be easiest to use fractions.

$\frac{7}{20}-\frac{2}{7}=\frac{49}{140}-\frac{40}{140}=\frac{9}{140}$ .

Now we multiply this fraction by 2.8 million, which reduces nicely to 9(20,000) , which equals 180,000.

Report an Error

Example Question #3 : How To Solve Arithmetic Word Problems

$\frac{4}{9}$ of a class of 36 students are boys. If 2 girls and 4 boys were to drop the class, what percentage of the class would be girls?

Possible Answers:

70%

75%

65%

60%

55%

Correct answer:

60%

Explanation:

First determine how many boys and girls are currently in the class.

$\frac{4}{9}\cdot 36=16$ boys in the class, which means that there are 20 girls.

When the 6 students drop the new class size will be 30, which will be made up of 20-2=18 girls and 16-4=12 boys.

$\frac{18}{30}=60\%$

Report an Error

Example Question #1 : How To Solve Arithmetic Word Problems

The menu of a local coffeehouse reads as follows:

$\begin{matrix} \textrm{Espresso}\; \; \; & \$1.79 \\ \textrm{Cafe Latte} & \$2.19 \\ \textrm{Cappucino} & \$2.29 \\ \textrm{Americano} & \$2.39 \\ \textrm{Turkish\; \; } & \$2.09 \\ \textrm{Iced Tea}\; \; \; & \$1.59 \end{matrix}$

Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and an espresso. The sales tax is five percent. How much change does she receive back for a twenty-dollar bill?

Possible Answers:

$\$3.78$

$\$ 2.97$

A twenty-dollar bill isn't enough to buy the drinks.

$\$4.85$

$\$4.59$

Correct answer:

$\$ 2.97$

Explanation:

The three cappuccinos cost: $\$2.29 \times 3 = \$6.87$

The two iced teas cost $\$1.59 \times 2 = \$3.18$

The two cafe lattes cost $\$2.19 \times 2 = \$4.38$

The espresso costs $\$1.79$ .

Add these amounts to get the cost before tax:

$\$ 6.87 + 3.18 + 4.38 + 1.79 = \$ 16.22$

The tax is five percent of $\$16.22$ or:

$\$16.22 \times 0.05 \approx \$ 0.81$

Add both values in order to obtain the total cost after tax.

$\$16.22 + 0.81 = \$ 17.03$

As a result, the change from a twenty-dollar bill is as follows:

$\$20.00- 17.03= \$ 2.97$

Report an Error

View SSAT- Upper Level Tutors

Darron
Certified Tutor

Georgia State University, Bachelors, English Education . Liberty University, Masters, Education.

View SSAT- Upper Level Tutors

Kevin
Certified Tutor

St. Johns University, Bachelors, Math/Coaching.

View SSAT- Upper Level Tutors

Brandon
Certified Tutor

Flager College, Bachelor, Elementary Education .

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Seattle, GRE Tutors in Dallas Fort Worth, ISEE Tutors in Philadelphia, GRE Tutors in Houston, Chemistry Tutors in Miami, Math Tutors in Atlanta, Statistics Tutors in Boston, English Tutors in Atlanta, French Tutors in San Francisco-Bay Area, Spanish Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in San Diego, LSAT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Atlanta, SAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Atlanta, ISEE Courses & Classes in Denver, GRE Courses & Classes in Houston, LSAT Courses & Classes in Phoenix

Popular Test Prep

MCAT Test Prep in Phoenix, GRE Test Prep in Seattle, LSAT Test Prep in Atlanta, GMAT Test Prep in Chicago, SSAT Test Prep in Seattle, MCAT Test Prep in Philadelphia, SAT Test Prep in Dallas Fort Worth, LSAT Test Prep in New York City, GMAT Test Prep in Miami, ISEE 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

SSAT Upper Level Math : Number Concepts and Operations

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Number Concepts And Operations

Example Question #1 : How To Solve Arithmetic Word Problems

Example Question #1 : Number Concepts And Operations

Example Question #2 : Number Concepts And Operations

Example Question #3 : Number Concepts And Operations

Example Question #2 : How To Solve Arithmetic Word Problems

Example Question #1 : How To Solve Arithmetic Word Problems

Example Question #4 : Number Concepts And Operations

Example Question #3 : How To Solve Arithmetic Word Problems

Example Question #1 : How To Solve Arithmetic Word Problems

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: