ISEE Lower Level Math : Operations

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

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Example Questions

Example Question #51 : Operations

Which of the following is a multiple of 11?

Possible Answers:

\(\displaystyle 121\)

\(\displaystyle 111\)

\(\displaystyle 76\)

\(\displaystyle 101\)

Correct answer:

\(\displaystyle 121\)

Explanation:

A multiple is the product of the first number and another whole number. Given that 121 is the product of 11 (the first number) and 11, it is a multiple of 11. Therefore, 121 is the correct answer. 

Example Question #52 : Operations

If 2 marshmallows are required to make 1 s'mores sandwich, how many marshmallows will be required for 6 campers to make 3 s'mores sandwiches each?

Possible Answers:

\(\displaystyle 32\)

\(\displaystyle 18\)

\(\displaystyle 72\)

\(\displaystyle 36\)

Correct answer:

\(\displaystyle 36\)

Explanation:

If 6 campers make 3 s'mores sandwiches each, they will make 18 s'mores sandwiches because \(\displaystyle 6\cdot3=18\).

Given that each sandwich requires 2 marshmallows, 36 marshmallows will be required to make the 18 sandwiches, because \(\displaystyle 2\cdot18=36\).

Example Question #53 : Operations

Arnold is writing a short story. He writes 5 pages a day and plans to complete it in 3 days, at which point it will be 45 pages long. How many pages long is his story right now?

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 25\)

\(\displaystyle 30\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 30\)

Explanation:

If Arnold writes 5 pages a day and plans to complete his story in 3 days, at which point it will be 45 pages long, he will finish his book by writing \(\displaystyle 3\cdot5=15\) more pages.

This means that Arnold has written 30 pages so far, because  \(\displaystyle 30+15=45\).

Example Question #54 : Operations

If 9 books in a book store have an average of 201 pages each, how many pages are there among all 9 books?

Possible Answers:

\(\displaystyle 1,800\)

\(\displaystyle 18,090\)

\(\displaystyle 1,899\)

\(\displaystyle 1,809\)

Correct answer:

\(\displaystyle 1,809\)

Explanation:

If 9 books in a book store have an average of 201 pages, there will be a total of \(\displaystyle 9\cdot201=1,809\) pages among the 9 books.

Example Question #55 : Operations

Lisa has two snack boxes. Each box contains four bags of cookies, and each bag contains three cookies. How many cookies are there total in the two snack boxes?

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 24\)

\(\displaystyle 6\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 24\)

Explanation:

If Lisa has two snack boxes and each box contains four bags of cookies with three cookies in each, the total number of cookies in the two snack boxes is \(\displaystyle 4\cdot3\cdot2=24\) cookies.

Example Question #56 : How To Multiply

If there are \(\displaystyle 7\) bananas in a bunch and Joe buys \(\displaystyle 8\) bunches, how many bananas does he buy in total if one bunch is missing a banana?

Possible Answers:

\(\displaystyle 57\)

\(\displaystyle 56\)

\(\displaystyle 54\)

\(\displaystyle 55\)

Correct answer:

\(\displaystyle 55\)

Explanation:

If there are \(\displaystyle 7\) bananas in a bunch and Joe buys \(\displaystyle 8\) bunches, that means he buys \(\displaystyle 56\) bananas because the product of \(\displaystyle 7\) and \(\displaystyle 8\) is \(\displaystyle 56\). However, because a banana is missing from one bunch, the number he buys will be one less, at \(\displaystyle 55\)

Example Question #57 : How To Multiply

Jane's cat is sick, so she must give it a pill three times a day. If she gives her cat its pills for a week, how many pills does she give it during this time?

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 7\)

\(\displaystyle 14\)

\(\displaystyle 23\)

Correct answer:

\(\displaystyle 21\)

Explanation:

If Jane's cat is sick and she must give it a pill \(\displaystyle 3\) times a day, then she will give it \(\displaystyle 21\) pills in a week. This is because there are \(\displaystyle 7\) days in a week, and the product of \(\displaystyle 3\) and \(\displaystyle 7\) is \(\displaystyle 21\)

Example Question #58 : How To Multiply

Rebecca receives four letters. It takes her five minutes to read a letter and ten minutes to respond to a letter. How many minutes will it take her to read and respond to all four letters?

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 36\)

\(\displaystyle 15\)

\(\displaystyle 45\)

Correct answer:

\(\displaystyle 60\)

Explanation:

If it takes Rebecca \(\displaystyle 5\) minutes to read a letter and then \(\displaystyle 10\) minutes to respond to a letter, this means that it take her \(\displaystyle 15\) minutes to read and respond to a letter, because the sum of \(\displaystyle 5\) and \(\displaystyle 10\) is \(\displaystyle 15\)

Therefore, in order for Rebecca to respond to 4 letters, the following equation reveals how many minutes she will need:

\(\displaystyle 4\cdot15=60\)

Thus, \(\displaystyle 60\) is the correct answer. 

Example Question #56 : Operations

Which of the following is the best estimate of the expression below?

\(\displaystyle 48\cdot21\)

Possible Answers:

\(\displaystyle 800\)

\(\displaystyle 850\)

\(\displaystyle 1,000\)

\(\displaystyle 100\)

Correct answer:

\(\displaystyle 1,000\)

Explanation:

To estimate \(\displaystyle 48\cdot21\), the first step is round each number to the nearest tens place. This gives us:

\(\displaystyle 50\cdot20=1,000\)

Example Question #60 : How To Multiply

If Brenda rides her bike to work and then home every day, how many miles does she ride her bike in five days if her work is four miles away from her home?

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 35\)

\(\displaystyle 40\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 40\)

Explanation:

If Brenda's work is \(\displaystyle 4\) miles away from her home, that means that she rides \(\displaystyle 8\) miles every day that she rides from her home to work (\(\displaystyle 4\) miles), and then from work back to her home (another \(\displaystyle 4\) miles). 

Therefore, the number of miles she rides in \(\displaystyle 5\) days is equal to \(\displaystyle 8\cdot5=40\).

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