ISEE Lower Level Math : Operations

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

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Example Questions

Example Question #111 : Operations

Madeline shares two sandwiches with five of her friends. Including Madeline, how much does each person have to eat?

Possible Answers:

 of a sandwich

 of a sandwich

 of a sandwich

 of a sandwich

Correct answer:

 of a sandwich

Explanation:

If Madeline shares two sandwiches with five of her friends, then six people will be sharing two sandwiches.

Therefore each person gets of a sandwhich. This simplifies to , which is the correct answer. 

Example Question #112 : Operations

What is the greatest common factor of 15 and 10?

Possible Answers:

Correct answer:

Explanation:

The factors of 15 are 1, 15, 3, and 5. 

The factors of 10 are 1, 10, 2, and 5. 

The common factors that 10 and 15 share are 1 and 5. Thus, 5 is the greatest common factor. 

Example Question #113 : Operations

Which of the following is not a factor of ?

Possible Answers:

Correct answer:

Explanation:

The product of  is equal to 36. 

The factors of 36 are 1, 16, 2, 18, 3, 12, 4, 9, 6. 

Thus, 8 is the only number listed above that is not a factor of 36. 

Example Question #114 : Operations

Maria has 15 cookies. She wants to share the cookies so that she and three friends each get the same number. If she shares the cookies equally, how many cookies will be left over?

Possible Answers:

None of these

Correct answer:

Explanation:

Sharing between Maria and her three friends means that the cookies will be shared between a total of four people.

Divide 15 by 4:

Each person can have 3 cookies, and there will be a remainder of 3. Our answer is that 3 cookies will be left over (the remainder).

Example Question #115 : Operations

Becca has 9 cookies that she is going to give to 3 of her friends in equal amounts. How many cookies does each friend get?

Possible Answers:

Correct answer:

Explanation:

If Becca has 9 cookies that she is going to give to 3 of her friends in equal amounts, then the number of cookies that each friend gets can be found by dividing 9 by 3.

This results in 3, the correct answer. 

Example Question #116 : Operations

Lisa has 12 pieces of candy. She gives one third of the candy to her sister and one third to her brother. How many pieces of candy does she have left?

Possible Answers:

Correct answer:

Explanation:

If Lisa has 12 pieces of candy, one third of this amount is 4 pieces.

Since she gives one third of the candy to her sister, her sister must receive 4 pieces. Similarly, her brother will receive four pieces.

We can find the remining amount by subtracting the amount Lisa gives to her siblings from the original number of pieces.

Lisa has four pieces left.

Example Question #117 : Operations

Which of the following is not a prime number?

Possible Answers:

All of these are prime numbers

Correct answer:

Explanation:

A prime number is divisible only by itself and the number 1. In other words, a prime number will only have two factors (itself and 1).

3, 7, and 11 are prime numbers; they cannot be divided by numbers other than themselves and 1.

9, however, can be divided by 3. This gives it more than two factors, and means it cannot be prime.

Example Question #118 : Operations

Which of the following is divisible by 8 but not by 12?

Possible Answers:

Correct answer:

Explanation:

The number 32 is divisible by 8 because 4 times 8 is 32. However, 32 divided by 12 equals 2, remainder of 8. Therefore, 32 is divisible by 8, but not by 12, and is the correct answer. 

Example Question #119 : Operations

Betty makes 18 ounces of fruit salad. She puts 2 ounces of fruit salad into smaller containers and then gives them out a club meeting. However, there are only 3 members who attend the meeting. The 3 members take equal numbers of the smaller fruit salads. How many small fruit salads does each member take?

Possible Answers:

Correct answer:

Explanation:

If Betty makes 18 ounces of fruit salad and puts 2 ounces of fruit salad into smaller containers, there will be  small fruit salads. 

Given that the 3 members each take equal numbers of the small fruit salads, each member will get  small fruit salads.

 

 

Example Question #120 : Operations

Robert baked 12 cookies for his family to share after dinner. There are 4 members of his family, so everyone should be able to have the same number of cookies. However, his younger brother brought along a friend unexpectedly. 

Robert gave 3 cookies to his brother and 3 cookies to his friend. He then equally shared what remained with his 2 parents. How many cookies did Robert get?

Possible Answers:

Correct answer:

Explanation:

After Robert gives 3 cookies to his brother and 3 cookies to his brother's friend,  cookies will remain. 

If Robert shares the remaining cookies equally with his 2 parents, then Robert and each parent will get  cookies.

 

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