### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #91 : Numbers And Operations

What is of ?

**Possible Answers:**

**Correct answer:**

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

of

we can re-write it as

Now, we will write 36 as a fraction. We know that whole numbers can be written as fractions over 1. So, we get

Now, before we multiply, we will simplify to make things easier. The 3 and the 36 can both be divided by 3. So, we get

Now, we can multiply straight across. We get

Therefore, of is .

### Example Question #91 : Numbers And Operations

What is two-thirds of 24 ?

**Possible Answers:**

**Correct answer:**

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

**two-thirds of 24**

we will first write **two-thirds** as a fraction. We know **two-thirds** can be written as . So, we can write

of

Now, we can multiply them. We get

Before we can multiply, we need to write 24 as a fraction. We know whole numbers can be written as fractions over 1. So, we get

Now, we can simplify before we multiply to make things easier. The 3 and the 24 can both be divided by 3. So, we get

Now, we can multiply straight across. We get

Therefore, two-thirds of 24 is 16.

### Example Question #91 : Numbers And Operations

What is one-third of 27 ?

**Possible Answers:**

**Correct answer:**

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

So, in the problem

**one-third of 27**

we will first write **one-third** as a fraction. We know **one-third** can be written as .

So, we get

of

Now, we can multiply them together. So,

Now, we will write 27 as a fraction. We know that whole numbers can be written as fractions over 1. So,

Now, we can multiply straight across. We get

Therefore, of is .

### Example Question #52 : Whole And Part

What is of ?

**Possible Answers:**

**Correct answer:**

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

of

we can write it like this:

Now, we will write as a fraction. We know that whole numbers can be written as fractions over 1. So, we get

Now, we will simplify before we multiply to make things easier. The 7 and the 63 can both be divided by 7. So, we get

Now, we will multiply straight across. We get

Therefore, of is .

### Example Question #201 : Whole And Part

Amanda has 3 more marbles than Jason and 5 fewer marbles than Kate. Together, they all have 17 marbles. How many marbles does Amanda have?

**Possible Answers:**

5 marbles

6 marbles

7 marbles

4 marbles

**Correct answer:**

5 marbles

Amanda has 3 more marbles than Jason and 5 fewer marbles than Kate. Together, they all have 17 marbles.

To solve this problem, we should experiment by picking a number for Amanda. We can pick the number 4.

If Amanda has 4 marbles, this means that Jason has 1 marble, since Amanda has 3 more. If she has 5 fewer marbles than Kate, that means that Kate must have 9 marbles.

This leaves us with:

Amanda - 4 marbles

Jason - 1 marble

Kate - 9 marbles

This adds up to a total of 14 marbles. However, we know that there are a total of 17 marbles. Thus, each child must have 1 more marble than what is stated above. The correct information would be below:

Amanda - 5 marbles

Jason - 2 marble

Kate - 10 marbles

Here, the sum of the marbles is 17 and Amanda still has 3 more marbles that Jason and 5 fewer marbles that Kate.

Thus, the correct answer is that Amanda has 5 marbles.

### Example Question #51 : How To Find The Part From The Whole

What is a third of 42?

**Possible Answers:**

**Correct answer:**

To find a fraction of a whole number, we will multiply the fraction by the whole number. First, given the problem,

**a third of 42**

we know that **a third** can be written as . So, we can re-write it as

of

Now, we will multiply the fraction by the whole number. We get

Now, we need to write 42 as a fraction. We know that whole numbers can be written as fractions over 1. So,

Now, we can multiply straight across. We get

Therefore, a third of 42 is 14.

### Example Question #51 : How To Find The Part From The Whole

What is a third of 336?

**Possible Answers:**

**Correct answer:**

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

So, we know **a third** is the same as . Now, we can multiply.

We will write 336 as a fraction. We know whole numbers can be written as fractions over 1. So, we get

Now, we can multiply straight across. We get

Therefore, a third of 336 is 112.

### Example Question #92 : Numbers And Operations

What is of ?

**Possible Answers:**

**Correct answer:**

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

So, in the problem

of

We can re-write it as

Now, we will write 52 as a fraction. We know that whole numbers can be written as fractions over 1. So, we get

Now, we can simplify before we multiply. The 4 and the 52 can both be divided by 4. We get

Now, we multiply straight across.

Therefore, of is .

### Example Question #93 : Numbers And Operations

What is of ?

**Possible Answers:**

**Correct answer:**

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

Now, we can simplify. The 4 and the 100 can both be divided by 4. We get

Therefore, of is .

### Example Question #94 : Numbers And Operations

Find of .

**Possible Answers:**

**Correct answer:**

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

Therefore, of is .