# GMAT Quantitative Practice

**1. (8 + 2) ^{2} =**

- 68
- 81
- 100
- 36

**2. If**

*y*= 3, then 3*+2*^{y}*y*^{2}=- 45
- 36
- 15
- 24

**3. Factor: x^{2} – 8x + 16**

- (
*x*+ 4)(*x*– 4) - (
*x*– 4)(*x*– 4) - (
*x*+ 3)(*x*+ 5) - (
*x*+ 8)(*x*+ 2)

**4. Find the slope of a line that passes through (4, 12) and (2, 14).**

- 1
- 0
- -1
- 2

**5. Rob is tiling a bathroom. In one hour he lays 81 tiles, 30% of the total. If he lays 1/3 of the remaining tiles in the next hour, how many tiles does he lay in the second hour?**

- 55
- 63
- 75
- 65

**6. Solve: ( x^{7})^{3} =**

*x*^{21}*x*^{10}*x*^{4}*x*^{-10}

In each of the following four problems, a question is followed by two statements containing certain information. You must decide whether the data provided by the statements is sufficient to answer the question.

**7. Is a < b ?**

**1) a + b > 0**

**2) a – b > 0**

- Statement 1 by itself is sufficient to answer the question, but statement 2 by itself is not.
- Statement 2 by itself is sufficient to answer the question, but statement 1 by itself is not.
- Statements 1 and 2 together are sufficient to answer the question, even though neither statement by itself is sufficient.
- Either statement by itself is sufficient to answer the question.
- Statements 1 and 2 taken together are not sufficient to answer the question.

**8. What is b?**

**1) b^{3} + 1 = 9**

**2) 2 b^{2} = 8**

- Statement 1 by itself is sufficient to answer the question, but statement 2 by itself is not.
- Statement 2 by itself is sufficient to answer the question, but statement 1 by itself is not.
- Statements 1 and 2 together are sufficient to answer the question, even though neither statement by itself is sufficient.
- Either statement by itself is sufficient to answer the question.
- Statements 1 and 2 taken together are not sufficient to answer the question.

**9. What is the area of the irregular four-sided figure ABCD?**

**1) AB is 6**

**2) BC is 8**

- Statement 1 by itself is sufficient to answer the question, but statement 2 by itself is not.
- Statement 2 by itself is sufficient to answer the question, but statement 1 by itself is not.
- Statements 1 and 2 together are sufficient to answer the question, even though neither statement by itself is sufficient.
- Either statement by itself is sufficient to answer the question.
- Statements 1 and 2 taken together are not sufficient to answer the question.

**10. What is the price of 3 pens and 2 pencils?**

**1) 2 pens and 1 pencil cost $1.25.**

**2) 1 pencil costs 25 cents.**

- Statement 1 by itself is sufficient to answer the question, but statement 2 by itself is not.
- Statement 2 by itself is sufficient to answer the question, but statement 1 by itself is not.
- Either statement by itself is sufficient to answer the question.
- Statements 1 and 2 taken together are not sufficient to answer the question.

## Answer Key

**1. C.** Remember the order of operations: calculate the parentheses before working with the exponents.

**2. A.** Substitute the value given for *y* into the equation and solve.

**3. B.** Remember that the factors must be such that the polynomial is reformed by the multiplication according to FOIL.

**4. C.** The equation for slope is (*y*^{2} –*y*^{1})/(*x*^{2} – *x*^{1})

**5. B.** Determine the total number of tiles with the equation: 81/*x* = 30/100. Then divide the total number of tiles by 3.

**6. A.** In this situation, the exponents only should be multiplied.

**7. B.** Since *a* – *b* is a positive number, *a* cannot be smaller than *b*.

**8. D.** Either of these statements would be sufficient to calculate the value of *b*.

**9. E.** Because the figure is irregular, the information supplied is insufficient.

**10. C.** In order to determine the price of the pens, you must use the information from the second statement in the first statement.

**For additional information, we recommend you check out these free GMAT resources:**

GMAT Study Guide

GMAT Verbal Practice

GMAT Critical Reasoning Practice

GMAT Quantitative Practice

GMAT Practice Questions