ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

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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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

 apples for

 apples for

 apples for

 apples for

Correct answer:

 apples for

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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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