### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #1 : How To Add

What is the sum of the two percentages in decimal form?

7 percent and 135 percent

**Possible Answers:**

**Correct answer:**

You add the percentages and you get 142 percent. To convert a percent to a decimal, you divide by 100, so the answer is 1.42.

### Example Question #2 : How To Add

**Possible Answers:**

**Correct answer:**

Do the expression in the parantheses and you get . Then you do and you get . Then you do and you get . Then you add .

### Example Question #3 : How To Add

If Susie bought a pair of shoes for , a shirt for , and a pair of pants for . How much did she spend in total?

**Possible Answers:**

**Correct answer:**

You add all three values and you get .

### Example Question #3 : How To Add

**Possible Answers:**

**Correct answer:**

First, convert into a decimal. We are left with

Now add the three numbers, being careful to line the decimal points up exactly. From right to left we will add:

1) 4 and 5 = 9

2) 5, 2, and 2 = 9

3) 2 is alone = 2

This leaves us with 2.99 for the final answer.

### Example Question #5 : How To Add

and are prime integers: and . How many possible values of are there?

**Possible Answers:**

Four

Five

Six

Seven

Eight

**Correct answer:**

Five

can be equal to any of the prime numbers between 45 and 55, of which there are two - 47 or 53.

can be equal to any of the prime numbers between 15 and 25, of which there are three - 17, 19, and 23.

Their sum can be any of the following:

This makes five possible sums.

### Example Question #4 : How To Add

and are prime integers. and . What is the greatest possible value of ?

**Possible Answers:**

**Correct answer:**

To find the greatest possible value of , add the greatest possible value of to the greatest possible value of . This happens when is equal to the greatest prime between 35 and 45, which is 43, and when is equal to the greatest prime between 85 and 95, which is 89. Add the two numbers:

### Example Question #1 : How To Solve One Step Equations

In a math contest, the team from Lincoln High comprised five students - Melanie, Ned, Olivia, Phyllis, and Quinn. Melanie outscored Ned by 12 points; Ned outscored Quinn by 19 points; Phyllis outscored Ned by 45 points and Olivia by 20 points. Who came in third among the five?

**Possible Answers:**

Ned

Quinn

Olivia

Phyllis

Melanie

**Correct answer:**

Melanie

Since this reasoning is valid regardless of the actual scores, suppose Quinn scored 100. Then Ned scored 19 more than Quinn, or 119, and Melanie scored 12 more than Ned, or 131. Phyllis scored 45 more than Ned, or 164, and Olivia scored 20 points fewer than Phyllis, or 144. This makes the order, from greatest to least:

Phyllis, Olivia, Melanie, Ned, Quinn

Melanie scored third among the five.

### Example Question #7 : How To Add

Which of the following angles is supplementary to an angle that is 45 degrees?

**Possible Answers:**

**Correct answer:**

Supplementary angles add up to 180 degrees. Given that , the correct answer is 135.

### Example Question #5 : How To Add

**Possible Answers:**

**Correct answer:**

Use order of operations, so you would first complete the operation in the parentheses, which would give you .

Then you do exponenets, so .

Then you do division which is .

Then you do addition from left to right, so .

Last, you add to , which is .

### Example Question #9 : How To Add

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify this expression, regroup and combine like-terms.

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