ISEE Lower Level Math : Operations

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

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Example Questions

Example Question #12 : How To Subtract

What is the value of the expression below, simplified?

Possible Answers:

Correct answer:

Explanation:

The first step is the reduce the fractions in the expression. 

Next, we need to convert each of the fractions to a form in which they both have the same denominator. We can do this by cross-multiplying:

Example Question #14 : How To Subtract

If Greg's older brother, Boris, is five years older than Greg but three years younger than their oldest brother, Jerry, how old is Greg if Jerry is eighteen years old?

Possible Answers:

Correct answer:

Explanation:

Given that Boris is  years younger than Jerry, Boris is .

Given that Greg is  years younger than Boris, Greg will be  years old. 

Therefore,  is the correct answer. 

Example Question #15 : How To Subtract

Lisa is reading a book that is  pages long. She has one-sixth of the book to read before she is finished. How many pages has she read so far?

Possible Answers:

Correct answer:

Explanation:

One-sixth of  is . Therefore, if Lisa has  more pages to read before she is finished with the book, the number of pages that she has read so far is equal to . Therefore,  is the correct answer.

Example Question #13 : How To Subtract

Maria has a playlist of eighteen songs. She deletes half of the songs and then adds three new songs. If she listens to the first  of the new playlist, how many songs will she have listened to?

Possible Answers:

Correct answer:

Explanation:

If Maria has a playlist of  songs and deletes half of them, this leaves  remaining songs on the playlist. If she then adds  new songs, there will be  songs on the play list. If she listens to the first  of the new playlist, she will have listened to  songs. This is because  is equal to  and .

Example Question #12 : How To Subtract

Alex and Andrew are brothers who want to get their mother a present that costs $350. Their father gives them $100 to help them pay for it, and their sister gives them another $100 to help them pay for it. If Alex and Andrew pay for the rest of the present in equal parts, how much money (in dollars) must each one of them pay?

Possible Answers:

Correct answer:

Explanation:

If Alex and Andrew want to get their mother a present that costs $350, and their father gives them $100 to help them pay for it, and their sister gives them another $100 to help them pay for it, they will have to pay the remaining $150. If Alex and Andrew pay for the rest of the present, they will each have to pay $75 each, because $150 divided by 2 is $75. 

Example Question #13 : How To Subtract

What is the difference between and ?

Possible Answers:

Correct answer:

Explanation:

Finding the difference means subtracting the smaller number from the larger number. First line up the decimal points, then subtract. You'll need to borrow to get the right answer.

Subtract2

Example Question #14 : How To Subtract

Evaluate:

Possible Answers:

Correct answer:

Explanation:

The first step to solving this problem is to find the difference between: 



Then find the sum of  which equals a total of 

Example Question #21 : How To Subtract

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first evaluate the expression in parentheses:





Then simplify: 

Example Question #22 : How To Subtract

Evaluate:

Possible Answers:

Correct answer:

Explanation:

To evaluate this problem correctly, first find the product of  and find the product of .





Then find the difference between  and :

Example Question #23 : How To Subtract

Group A has . Group B has . Group C has . What is the difference between the sum of Groups A & B with the amount of money in Group C?

Possible Answers:

Correct answer:

Explanation:

Firstly, find the sum of group A and group B:



Then find the difference between this sum and the original amount of money in group C:

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