All SSAT Middle Level Math Resources
Example Questions
Example Question #4 : Numbers And Operations
Express the following ratio in simplest form:
Rewrite this in fraction form for the sake of simplicity, and divide both numbers by :
The ratio, simplified, is .
Example Question #7 : Ratio And Proportion
Express this ratio in simplest form:
A ratio of fractions can best be solved by dividing the first number by the second. Rewrite the mixed fraction as an improper fraction, rewrite the problem as a multiplication by taking the reciprocal of the second fraction, and corss-cancel:
The ratio, simplified, is .
Example Question #11 : How To Find A Ratio
Express this ratio in simplest form:
A ratio involving decimals can be simplified as follows:
First, move the decimal point over a common number of places in each number so that both numbers become whole. In this case, it would be two places:
(Note the addition of a zero at the end of the first number.)
Now, rewrite as a fraction and divide both numbers by :
The ratio, simplified, is .
Example Question #11 : How To Find A Ratio
In Mrs. Jones' class, the ratio of boys to girls is 3:2. If there are 8 girls in the class, how many total students are in the class?
Using the ratio, we find that there are 12 boys in the class .
Summing 12 and 8 gives the total number of 20 students.
Example Question #12 : How To Find A Ratio
A 16-ounce bottle of Charlie's Fizzy Fizz Root Beer costs 89 cents. Give the price per ounce to the nearest tenth of a cent.
Divide 89 by 16:
The soda costs about 5.6 cents per ounce.
Example Question #14 : Numbers And Operations
A batting average is defined as the ratio of hits to turns at bat. It is expressed as a decimal rounded to the nearest thousand.
In 2013, Yadier Molina's batting average was 0.319. If he maintains this same batting average over the 2014 baseball season, how many turns at bat should he expect to need to achieve 50 hits? (Nearest whole number)
Since a batting average is a ratio of hits to turns at bat,
Let be the number of turns at bat Molina needs to get 50 hits. Then:
Solve for :
Molina should need 157 turns at bat,
Example Question #15 : Numbers And Operations
Carlos owns a hamburger and hot-dog stand. When the fridge in the stand is full, there are 16 hamburgers and hot dogs total. If the ratio of hamburgers to hot dogs is always 5:3, how many hot dogs are in the cart when it is full?
When solving a ratio problem, first add each part of the ratio:
So, one part in this ratio is equal to 8. The number of hamburgers and hot dogs in the fridge is currently only the amount it can hold. To figure out how much it can hold total, we can multiply by the denominator of the fraction since the numerator is 1.
64 is the total amount of hamburgers and hot dogs that can be held in the fridge. Divide 8 into 64 in order to figure out how many parts fit into this number.
This number tells us how many times we need to multiply the ratio by in order to figure out how many hamburgers or hot dogs can be in the fridge at once. Since we are trying to figure out how many hot dogs are in the fridge when it is full, we use the second number, 3. We use the number 3 because, since the ratio is hamburgers to hotdogs, the second number represents the number of hot dogs.
This gives you your answer. There are 24 hot dogs in the fridge when it is full.
Example Question #14 : Ratio And Proportion
There are girls and boys in Miss Bailey's class. What is the ratio of girls to boys?
The ratio of girls to boys in Miss Bailey's class is , which can be reduced to when both the numerator and denominator are divided by .
Example Question #17 : Numbers And Operations
In a library, there are children's books and young adult books. What is the ratio of young adult books to children's books?
The ratio of young adult books to children's books is to , or , which can be reduced to .
Example Question #18 : Numbers And Operations
There are male and female employees at a company. What is the ratio of females to males?
The ratio of females to males is to , or , which can be reduced to .
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