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 #31 : Fractions
A smoothie is made up of 
First, find out how much of the smoothie is orange juice.
Since we want the ratio of orange juice to pineapple juice, we want to set up the fractions like this:
Now, divide these fractions.
Example Question #32 : Proportion / Ratio / Rate
A bakery sells three different types of cookies. 
First, find the fraction of sugar cookies that are sold.
Since we want the ratio of sugar cookies to oatmeal raisin cookies:
Now, multiply and simplify the resulting fraction.
Example Question #1 : How To Find The Ratio Of A Fraction
What number can be filled in the blank to make the two ratios equivalent?
________
Set up a proportion statement:
Rewrite:
Example Question #32 : Fractions
When television remotes are shipped from a certain factory, 1 out of every 200 is defective. What is the ratio of defective to nondefective remotes?
200:1
199:1
1:200
1:199
1:199
One remote is defective for every 199 non-defective remotes.
Example Question #41 : Proportion / Ratio / Rate
On a desk, there are 
Begin by making your life easier: presume that there are 
By cross-multiplying you get:
Solving for 
(Many students will likely see this fact without doing the algebra, however. The numbers are rather simple.)
Now, this means that our desk has on it:
Therefore, you have 
Example Question #4 : How To Express A Fraction As A Ratio
In a classroom of 
To begin, you need to calculate how many students are taking Old Norse. This is:
Now, the ratio of students taking Old Norse to students taking Greek is the same thing as the fraction of students taking Old Norse to students taking Greek, or:
Next, just reduce this fraction to its lowest terms by dividing the numerator and denominator by their common factor of 
This is the same as 
Example Question #5 : How To Express A Fraction As A Ratio
In a garden, there are 
To begin, you need to do a simple addition to find the total number of flowers in the garden:
Now, the ratio of petunias to the total number of flowers in the garden can be represented by a simple division of the number of petunias by 
Next, reduce the fraction by dividing out the common 
This is the same as 
Example Question #31 : Proportion / Ratio / Rate
Express 
Ratios take the form of numerator:deminator when in colon form.
Example Question #36 : Proportion / Ratio / Rate
In a biology class, 
The ratio of sophomores to freshmen in the class can be expressed by the fraction 
Now, simplify this fraction.
That fraction can also be expressed as 
Example Question #5 : How To Express A Fraction As A Ratio
In a music class of 
First, find out how many piano players there are in the class.
Now, we can express the ratio of piano players to oboe players as the following fraction:
The fraction can also be expressed by 
Certified Tutor
Certified Tutor
All SSAT Upper Level Math Resources
