ISEE Lower Level Quantitative : Numbers and Operations

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

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Example Questions

Example Question #11 : Numbers And Operations

Which of the following is not a factor of 36?

Possible Answers:

Correct answer:

Explanation:

A factor is a number that can be evenly divided into another number. Given that 36 divided by 8 is equal to 4, remainder 4, 8 is not a factor of 36. 

Example Question #12 : Numbers And Operations

Which of the following is a factor of 64?

Possible Answers:

Correct answer:

Explanation:

A factor of a number is one that can be evenly divided into it. Given that 64 divided by 32 is 2, 32 is a factor of 64. 

Example Question #13 : Numbers And Operations

Which of the following is both a factor of 6 and 12?

Possible Answers:

Correct answer:

Explanation:

A factor of a number is one that evenly divides into it. 

Given that 6 divided by 6 is 1, and that 12 divided by 6 is 2, 6 is the number that is a factor of both 6 and 12. 

Example Question #14 : Numbers And Operations

What are the prime factors of 12?

Possible Answers:

Correct answer:

Explanation:

The factors of the number 12 are 

Of these numbers, 2 and 3 are prime. Therefore, 2 and 3 are the prime factors of 12. 

Example Question #15 : Numbers And Operations

What is the value of x?

Possible Answers:

Correct answer:

Explanation:

When a negative number is divided by another negative number, the result will be positive. 

Given that , it follows that 

Therefore, 9 is the correct answer. 

Example Question #16 : Numbers And Operations

Larry, who is fifty-one years old, is three times as old as his daughter, Judy. Judy is two years older than Larry's son Craig. How old is Craig?

Possible Answers:

Correct answer:

Explanation:

If Larry's age of 51 is three times that of Judy, divide Larry's age by 3 to get Judy's age of . Craig is two years younger, or 

Example Question #17 : How To Divide

All of the following can be equal to h in order to solve the equation below EXCEPT for which?

 

 

Possible Answers:

Correct answer:

Explanation:

Given that , it follows that h is equal to 3 because:

The only value of the answer choices that does not equal 3 is , which is equal to 5. 

Therefore,  is the correct answer. 

Example Question #17 : Numbers And Operations

If a board that is 1.5 feet long is cut into 4 equal pieces, how long is each piece in inches?

Possible Answers:

Correct answer:

Explanation:

The first step is to convert 1.5 feet into inches. Given that there are 12 inches in a foot, there are 18 inches in 1.5 feet because 

The next step is to divide 18 by 4. 

Therefore, each board is 4.5 inches long. 

Example Question #18 : Numbers And Operations

If it takes Jeff an hour and a half to make a round trip from his house to the airport, then how long should it take him to drive one-way from the airport to his house, in minutes?

Possible Answers:

Correct answer:

Explanation:

If it takes Jeff an hour and a half to make a round trip from his house to the airport, then it should take him half the  time to drive one-way from the airport to his house. 

An hour and a half is equal to 90 minutes. 

Therefore, 45 is the correct answer. 

Example Question #19 : Numbers And Operations

Angela is making a recipe that makes 12 muffins and calls for  cup of butter. How much butter do 6 muffins contain?

Possible Answers:

 cup

 cup

 cup

Correct answer:

 cup

Explanation:

If Angela uses  cup of butter for 12 muffins, then 6 muffins contain half the butter of the entire recipe. 

Therefore, the butter in 6 muffins is .

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