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 #501 : Numbers And Operations

A baseball team has a 2:1 ratio of seniors to freshmen, respectively. If there are 27 total players, how many are seniors?

Possible Answers:

Correct answer:

Explanation:

Since the ratio of seniors-to-freshmen is 2:1, there are twice as many seniors as freshmen. There's a few ways to solve this. One way is to make the algebra equation:

Where  is the number of freshmen, and  is the number of seniors, twice as many as the freshmen.

Now solve for :

But don't forget!  is the number of freshmen, and the question asks for seniors, which is:

Example Question #502 : Numbers And Operations

There are 7 green chips, 4 black chips, and 8 white chips on a table. What is the ratio of green chips to black chips?

Possible Answers:

Correct answer:

Explanation:

The ratio is written as:
 or .

The colon (:) indicates the word "to".

Example Question #503 : Numbers And Operations

A drawer contains 5 pairs of black socks and 7 pairs of red socks. What is the red to black sock ratio?

Possible Answers:

Correct answer:

Explanation:

A ratio is determined by comparing the number of one item (red socks) to the number of another item (black socks). Therefore, the red to black ratio is .

Example Question #504 : Numbers And Operations

Michael's math class has 27 students in it.

There are 9 boys and 18 girls.

What is the ratio of boys to girls in Michael's math class?

Possible Answers:

\dpi{100} 2:3

\dpi{100} 1:2

\dpi{100} 2:1

\dpi{100} 9:27

Correct answer:

\dpi{100} 1:2

Explanation:

There are 9 boys and 18 girls.

This is a ratio of 

Reduce to get 

Example Question #15 : Ratio And Proportion

The ratio of boys to girls in a group of 12 students is 1 boy to 2 girls. . How many girls are in the group?

Possible Answers:

Correct answer:

Explanation:

If there is 1 boy for every 2 girls, and there are 12 students, then that means there must be 4 boys and 8 girls. 

The ratio of  means that there would be 3 students in the smallest group possible (a group with 1 boy and 2 girls). 

Thus, if the group has 12 students, we know the group is 4 times bigger than the smallest group possible.

This means that we multiply 4 by the ratio to get the number of boys and girls.

Example Question #505 : Numbers And Operations

In a pet store, there are 12 cats and 9 dogs. Two-thirds of the cats are male, and one-third of the dogs are male. 

How many animals in the store are male?

Possible Answers:

Correct answer:

Explanation:

We can solve by multiplying the total number of animals by the fraction of males for each species.

Add these values together to find the total number of male animals.

Example Question #506 : Numbers And Operations

Jenny has a collection of movies. She has 5 movies that are comedies and 10 movies that are dramas. What is the ratio of comedies to dramas that Jenny owns?

Possible Answers:

Correct answer:

Explanation:

A ratio is a relationship between two numbers such that there are as many items of the second number as there are of the first number. Given that for every 5 comedies that Jenny has, she has 10 dramas, the ratio between the two is . This reduces to , which is the correct answer. 

Example Question #507 : Numbers And Operations

Gina owns 4 dogs and 2 cats. What is the ratio of dogs to cats?

Possible Answers:

Correct answer:

Explanation:

Given that there are 4 dogs and 2 cats, the ratio of dogs to cats is . However, this ratio can be be reduced to , which is therefore the correct answer. 

Example Question #508 : Numbers And Operations

A coffee shop sells 2 types of pastries: cookies and muffins. There are 48 pastries for sale, and 16 of them are cookies. What is the ratio of cookies to muffins?

Possible Answers:

Correct answer:

Explanation:

If there are 48 pastries for sale, and 16 of them are cookies, that means that the remaining 32 pastries are muffins. 

Therefore, the ratio of cookies to muffins is , which is the same as . Therefore, 1:2 is the correct answer. 

Example Question #509 : Numbers And Operations

If 30% of a class of 20 students are 5 years old, 20% are 7 years old, and the rest are 6 years old, what is the ratio 5 year-olds to 6 year-olds?

Possible Answers:

Correct answer:

Explanation:

If 30% of a class of 20 students are 5 years old, then that means there are six 5 year-olds. Given that 30% are 5 years old and 20% are 7 years old, the other 50% must be 6 years old. 

50% of 20 students is 10 students. 

Therefore, the ratio of 5 year-olds to 6 years-olds is . This can be reduced to .

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