ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement
Study concepts, example questions & explanations for ISEE Lower Level Math
All ISEE Lower Level Math Resources
Example Questions
Example Question #6 : How To Find A Ratio
A class of 40 students has 25 boys and 15 girls. Write the ratio of boys to girls in simplest form.
The ratio of boys to girls is 
In simplest form, the ratio is
Example Question #4 : Ratio And Proportion
A total of 35 children took a poll about favorite breakfast foods, choosing between cereal, yogurt, and pancakes. If 14 preferred cereal and 7 preferred yogurt, how many preferred pancakes?
14
18
7
21
14
To find the children who preferred pancakes, subtract all the other children (cereal + yogurt) from the total:
Example Question #3 : Ratio And Proportion
Susan has a bag of 12 assorted candies that included 3 blue, 2 green, 4 red, and 3 yellow. If Susan picks one piece of candy without looking, which color has a 1 in 6 chance of being picked?
yellow and blue
blue
green
yellow
red
green
There are 2 green candies in the assortment out of a total of 12 candies. The proportion of green candies to total candies is 
Example Question #4 : Ratio And Proportion
Determine the ratio of 86 to 129.
Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:
1) Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is 43 because 43 is the greatest number that goes into both numbers evenly.
2) Show the ratio with a colon : and remember to keep the numbers in the same order!
Therefore, the ratio of 86 to 129 is 
Example Question #1 : Ratio And Proportion
A truck with a tank that holds 24 gallons of gas gets 18 miles to the gallon. If the truck's gas gauge reads that the tank is one-half full, how many miles can it travel before it needs to be refueled?
Multiply 18 miles per gallon by 24 gallons to get the distance the truck can travel on a full tank:
On one-half of a tank, this truck can travel
Example Question #491 : Numbers And Operations
A car with a tank that holds 15 gallons of gas gets 29 miles to the gallon. If the car's gas gauge reads that the tank is three-fourths full, how many miles can it travel before it needs to be refueled?
Multiply 15 gallons by 29 miles per gallon to get the distance the car can travel on a full tank:
Multiply this by three-fourths to get the distance it can travel on three-fourths of a tank.
Example Question #11 : Ratio And Proportion
There are 24 pencils in a new box. I have sharpened 18. What is the ratio of unsharpened pencils to pencils in the new box?
The ratio needed is unsharpened to new box and it says there are 24 pencils in a new box. It does not say how many are unsharpened but it does give the amount that has been sharpened already.
To find the unsharpened amount subtract the number of pencils sharpened from the number of pencils in the new box. Therefore, it would be 
The ratio of unsharpened to new box would be 
Example Question #12 : Ratio And Proportion
There are 32 computers in the lab and 30 students from the science class might be using them for a project today. When it is lab time, 15 students are NOT ready to go.
What is the ratio of students that are NOT ready for lab to students in the science class?
None of the other answers.
The question asked for the ratio of the students NOT ready for lab to the students in the science class.
There are 15 students that are not ready for the computer lab.
There are 30 students in the science class.
Therefore, the ratio is 
Since 15 and 30 can be reduced by their greatest common factor of 15 the ratio is simplified to 
Example Question #492 : Numbers And Operations
A cake recipe asks for 4 cups of flour and 1 cup of sugar. If Sarah only has 2 cups of flour, how much sugar should she use?
In order to solve this problem, we should set up a ratio.
The ratio of flour to sugar in the recipe is
If Sarah only has 2 cups of flour, the ratio would be 
Looking at the first ratio, 2 cups is half of 4, so the sugar would also be half. So the answer is 
Example Question #14 : Ratio And Proportion
Mrs. Steven's class has a female-to-male student ratio of 3:2. If the class has 18 female students, how many male students are there?
The ratio of female-to-male students is 3:2 or:
Since we have 18 female students, we can set it up like this:
where 
Now multiply the fraction by whatever number so that the numerator (the female students) equals 18.
So the amount of male students is 12.
All ISEE Lower Level Math Resources
