All ISEE Lower Level Math Resources
Example Questions
Example Question #511 : Isee Lower Level (Grades 5 6) Mathematics Achievement
In a class of 10 students, 60 percent are girls. What is the ratio of boys to girls?
If 60 percent of the 10 students are girls, then 6 are girls and 4 are boys. Therefore, the ratio of boys to girls is . This reduces to , which is the correct answer.
Example Question #511 : Numbers And Operations
Mark is trying to get the best deal on apples that he can. Which of the following is the best deal?
apples for
apples for
apples for
apples for
apples for
The best deal will be the one in which the ratio of apples to dollars is highest, as this means more apples can be purchased per a given dollar.
The deal of apples for means that the ratio of apples to dollars is .
This is the highest ratio compared to any of the other deals:
apples for has a ratio of apples to dollars of . The ratio of is higher than the ratio of . ( and )
apples for has a ratio of apples to dollars of , but the ratio of is higher than the ratio of because the ratio of can be rewritten as .
apples for has a ratio of apples to dollars of or
Therefore, the deal of apples for is the best one.
Example Question #28 : How To Find A Ratio
Two girls and three boys get together for a picnic. Each girl brings three sandwiches to share, and each boy brings four mini desserts to share. What is the ratio of sandwiches to desserts at the picnic?
If two girls and three boys get together for a picnic, and each girl brings three sandwiches to share, that means there will be six sandwiches at the picnic because .
If each boy brings four mini desserts to share, that means there will be twelve mini desserts at the picnic because .
Therefore, the ratio of sandwiches to desserts at the picnic will be , which is equal to .
Example Question #22 : Ratio And Proportion
There are girls and boys in a class. What is the ratio of boys to girls?
A ratio is really nothing more than division. Many people will write it like this:
We can also write it like this:
Before being able to answer, you need to see if you can reduce this fraction—which you can! Go ahead and factor it into its primes:
You can cancel out a . This leaves you with:
Therefore, the ratio is:
Example Question #511 : Numbers And Operations
There are 63 students at the assembly at ABC Elementary School. If there are only 21 boys at the assembly, what is the ratio (as a fraction) of the number of girls to the total amount of students at the assembly?
The question is asking for the ratio of girls to the total amount of students at the assembly. If there are 21 boys, then there are 42 girls. The ratio is part to whole and would be represented as a fraction as:
This fraction can be reduced to simplest form by dividing the number and the denominator by the Greatest Common Factor or GCF, which is 21. The correct answer is:
Example Question #31 : Ratio And Proportion
The scale on a map is 2cm : 12km . If and the actual distance between two lakes is 600 km, find the distance between the lakes as shown on a map.
To solve this problem, set up the proportion:
Cross multiply:
Divide both sides by 12 to isolate x.
Example Question #32 : Ratio And Proportion
You and a friend win a raffle of . You and him split it with a ratio of since he paid more into the raffle. What is your share?
Since there are a total of five shares in the ratio
and you get two shares, your share is of the total.
and
Your share is .
Example Question #31 : How To Find A Ratio
If three friends start a business and two invested equally while the third invested twice the amount each of them did, what is the ratio for their shares?
Since the first two have to be equal, you can start by representing them by share apiece.
The third invested twice the amount that each of the others did so you double their share to get .
So the first friend gets one share and so does the second.
The third friend gets two shares and the ratios looks like,
.
Example Question #513 : Numbers And Operations
Sharon has marbles, of which are blue and of which are white. Write the ratio of blue marbles to white marbles in simplest form.
The ratio of blue marbles to white marbles is , but this is not in simplest form. Rewrite this as a fraction for simplicity, then divide both numbers by :
In simplest form, the ratio is
Example Question #32 : Ratio And Proportion
A fruit punch recipe calls for 1 cup of orange juice, half a cup of pineapple juice, and 2 cups of soda. What is the ratio of orange juice to pineapple juice to soda water?
If a fruit punch recipe calls for 1 cup or orange juice, half a cup of pineapple juice, and 2 cups of soda, the ratio would be:
Multiply all three numbers by 2:
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