### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #1 : Mixed / Improper Fractions

Which of the following is one more than ?

**Possible Answers:**

**Correct answer:**

Rewrite as follows:

, so .

Add one:

### Example Question #2 : Mixed / Improper Fractions

Which of the following is three times ?

**Possible Answers:**

**Correct answer:**

Since ,

### Example Question #3 : Mixed / Improper Fractions

Which of the following is 80% of ?

**Possible Answers:**

**Correct answer:**

80% of a number is equal to multiplied by that number, so 80% of is

Since ,

.

### Example Question #4 : Mixed / Improper Fractions

Which of the following is increased by 25%?

**Possible Answers:**

The correct answer is not among the other responses.

**Correct answer:**

A number increased by 25% is 125%, or , multiplied by the number. increased by 25% is therefore

, so

### Example Question #5 : Mixed / Improper Fractions

Decrease by 12.5%. What is the result?

**Possible Answers:**

**Correct answer:**

Decreasing a number by 12.5% is the same as taking 87.5% of a number, or multiplying it by

.

, so

### Example Question #4 : Algebraic Fractions

Change to a mixed number

**Possible Answers:**

**Correct answer:**

To convert from a fraction to a mixed number we must find out how many times the denominator goes into the numerator using division and the remainder becomes the new fraction.

### Example Question #6 : Mixed / Improper Fractions

Write as a mixed fraction.

**Possible Answers:**

**Correct answer:**

Divide the numerator by the denominator.

Now, the whole number part will be . Write the remainder on top of the denominator to get the fraction.

### Example Question #7 : Mixed / Improper Fractions

If is rewritten as an improper fraction, what will its numerator be?

**Possible Answers:**

**Correct answer:**

The numerator of the improper form of a mixed fraction is the original numerator added to the product of the integer and the original denominator:

### Example Question #8 : Mixed / Improper Fractions

Rewrite as an improper fraction in lowest terms, and call the sum of its numerator and its denominator. Which of the following is a true statement?

**Possible Answers:**

**Correct answer:**

, in lowest terms, is , so is rewritten as .

The numerator of the improper form of a mixed fraction is the original numerator added to the product of the integer and the original denominator. The new denominator is the same as the old one. Therefore,

,

Add the numerator and the denominator: .

The correct response is .

### Example Question #9 : Mixed / Improper Fractions

Rewrite as an improper fraction in lowest terms. If we assign to the numerator of this fraction, which of the following will be a true statement?

**Possible Answers:**

**Correct answer:**

in lowest terms is , so first, rewrite as .

The numerator of the improper form of a mixed fraction is the original numerator added to the product of the integer and the original denominator:

The correct response is .

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