# ISEE Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #21 : Whole And Part

Stephanie needs to drive  miles to meet her family at their vacation home. If she drives at  miles per hour, how many hours will it take Stephanie to arrive?

Explanation:

Divide:

Answer: It will take Stephanie  hours to arrive.

### Example Question #71 : Numbers And Operations

Eighteen dollars must be shared among  friends. How much money will each friend receive?

Explanation:

Divide:

### Example Question #71 : Numbers And Operations

You bought  pieces of fruit including  apples,  oranges, and  pineapples. How many pineapples did you buy?

Explanation:

You know that you bought  fruit and you have three kinds; apples, oranges, and pineapples.

If  are apples and  are oranges, the rest would be pineapples.

So you must subtract those values from the total and that will be the number of pineapples.

so you bought  pineapples.

### Example Question #74 : Numbers And Operations

You and you friends make  doing some yard work.  If you have four friends and you need to split the revenue evenly, how much do you make?

Explanation:

Since there are five of people to split it (you and four friends) you must divide the  by  which is,

.

### Example Question #75 : Numbers And Operations

Find  of .

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So,

Therefore,  of  is .

### Example Question #76 : Numbers And Operations

What is  of ?

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  We get

Now, we can solve.

We can simplify this, and we get

Therefore,  of  is .

### Example Question #72 : Numbers And Operations

Which of the following numbers yields a remainder of 7 when divided by 9?

Explanation:

We can test each of the numbers in tun by dividing each by 9:

106 is the correct choice.

### Example Question #31 : How To Find The Part From The Whole

Find  of .

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So,

of

can be written as

Now, we can multiply.

### Example Question #73 : Numbers And Operations

Add in modulo 13 arithmetic:

Explanation:

To add numbers in modulo 13 arithmetic, we can add, divide by 13 and note the remainder:

The remainder is 4, so

modulo 13.

### Example Question #74 : Numbers And Operations

Subtract in modulo 13 arithmetic: