### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #105 : Fractions

Find the arithmetic mean of the following five numbers.

**Possible Answers:**

**Correct answer:**

Add the numbers, then divide by or, equivalently, multiply by .

Find the common denominator of the terms we are adding.

Multiply and simplify.

### Example Question #1 : How To Add Fractions

Scott gave of the chocolate chip cookies he made to Cindy, and he gave of the cookies to Stephanie. What fraction of his chocolate chip cookies did he give away?

**Possible Answers:**

**Correct answer:**

This question wants you to add and . First, convert both fractions so that they share the same denominator.

### Example Question #54 : Operations With Fractions

A poll was conducted in a class to see what fraction of the class plays sports. of the class plays basketball, and of the class plays soccer. The rest of the class do not play any sports. What fraction of the class plays a sport?

**Possible Answers:**

**Correct answer:**

To find what fraction of the class plays a sport, add together and .

First, convert both fractions so that the denominators are the same.

Now, you can add them together.

### Example Question #55 : Operations With Fractions

Peter ate of a pie for breakfast, then ate of the pie as a morning snack. How much of the pie did Peter eat?

**Possible Answers:**

**Correct answer:**

To find how much of the pie Peter ate, you will need to add together and .

Start by converting both fractions so that the denominators are the same.

Now, you can add the fractions.

### Example Question #56 : Operations With Fractions

Timothy spends of his weekly allowance on comic books and of his weekly allowance on candy. What fraction of his weekly allowance does he spend on comic books and candy?

**Possible Answers:**

**Correct answer:**

To find out how much of his weekly allowance Timothy spends on candy and comic books, add and together.

To do so, you need to first convert both fractions so that they have the same denominator.

Now you can add together the fractions.

### Example Question #57 : Operations With Fractions

In a jar of marbles, of the marbles are red and of the marbles of blue. What fraction of the jar of marbles are red and blue marbles?

**Possible Answers:**

**Correct answer:**

To find out what fraction of the jar are red and blue marbles, add and together.

First, you need to convert the fractions so that they have the same denominator. Since is a multiple of , you only need to change one fraction.

Now, add the fractions together.

### Example Question #58 : Operations With Fractions

Jim baked two batches of cookies. In the first batch, he used cup of sugar. In his second batch, he used cups of sugar. In cups, how much sugar did he use in total?

**Possible Answers:**

**Correct answer:**

To find how much sugar he used in total, add and together.

First, make sure that both fractions have the same denominator before you add them. Since is a multiple of , you will need to convert into by multiplying both numerator and denominators by .

Now, add the fractions.

### Example Question #2 : How To Add Fractions

Lucy gave away of her hair ribbons to Megan and of her hair ribbons to Patrice. What fraction of her hair ribbons did Lucy give away?

**Possible Answers:**

**Correct answer:**

You will need to add together and .

Since is a multiple of , we can use as the common denominator.

Then,

### Example Question #60 : Operations With Fractions

Michael ate of a cake for breakfast, and then of the same cake for dinner. How much of the cake did Michael eat?

**Possible Answers:**

**Correct answer:**

To figure out how much cake Michael ate, you will need to add the two fractions given in the question.

First, find the common denominator of both fractions and convert them so that they have that denominator.

Now, add the fractions.

### Example Question #3 : How To Add Fractions

On a certain game show, the audience is polled. of the audience enjoys playing football, and of the audience enjoys playing basketball. What fraction of the audience enjoys playing football and basketball?

**Possible Answers:**

**Correct answer:**

Add the fractions together. In order to do so, you will need to convert so that it shares the same denominator as .

Now, add the fractions.