SSAT Middle Level Math : Numbers and Operations
Study concepts, example questions & explanations for SSAT Middle Level Math
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Example Questions
Example Question #11 : Ratio And Proportion
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:
Now, rewrite as a fraction and divide both numbers by 
The ratio, simplified, is 
Example Question #12 : Ratio And Proportion
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 #13 : Ratio And Proportion
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 
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 
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 
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 
The ratio of girls to boys in Miss Bailey's class is 
Example Question #17 : Numbers And Operations
In a library, there are 
The ratio of young adult books to children's books is 
Example Question #18 : Numbers And Operations
There are 
The ratio of females to males is 
Example Question #14 : Ratio And Proportion
One dollar is equal to about 116.76 Japanese yen. For how many yen should a tourist to Japan be able to exchange $2,500 at that rate (nearest whole yen)?
One dollar is equal to 116.76 yen, so multiply $2,500 by this conversion rate to get
Example Question #15 : Ratio And Proportion
Sharon is having a birthday party. So far, she has invited twenty of her friends from school, nine of whom are girls. She wants to make the ratio of boys to girls at the party two to one. If she decides to add her two cousins, both girls, to the guest list, and no other girls, how many more boys does she need to invite?
So far, Sharon has invited twenty friends from school - eleven boys and nine girls. Including Sharon's cousins and Sharon herself, there are eleven boys and twelve girls.
For there to be a two-to-one boy-to-girl ratio, Sharon must have twice as many boys as girls. She will need 
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