# Free GRE Quantitative Practice Test

**1. Convert 65% to a fraction.**

A. 4/5

B. 13/20

C. 3/4

D. 7/10

**2. Factor: x2 + 5x – 6**

A. (x – 6)(x + 1)

B. (x – 3)(x + 2)

C. (x + 9)(x – 6)

D. (x + 6)(x – 1)

**3. 60% of 3 is:**

A. 1 1/2

B. 1 4/5

C. 1 3/4

D. 1 5/8

**4. Find the slope of 9x + 12y = 4.**

A. 3/4

B. 4/3

C. -3/4

D. -4/3

**5. If a > 0, then (8 ^{a})(2^{a})**

A. 16^{a}

B. 162^{a}

C. 22^{a}

D. 23^{a}

**6. Compare two quantities, A and B.**

A) 0.076 B) 0.0748

A. A is greater than B

B. B is greater than A

C. A and B are equal

D. There is not enough information provided to determine the relationship between A and B.

**7. Compare two quantities, A and B. Given: 2x + 4 = 8, 5y =40 **

A) y/x B) 16x/y

A. A is greater than B

B. B is greater than A

C. A and B are equal

D. There is not enough information provided to determine the relationship between A and B.

**8. Compare two quantities, A and B. Roger scored 18 points in the basketball game, 7 of them in the first half.**

**A) Points scored by Roger in the first half. B) Points scored by Roger in the third quarter.**

A. A is greater than B

B. B is greater than A

C. A and B are equal

D. There is not enough information provided to determine the relationship between A and B.

**9. Compare two quantities, A and B. 5 < x < 7 2 < y < 4 **

**A) x + y B) 7**

B. B is greater than A

C. A and B are equal

D. There is not enough information provided to determine the relationship between A and B.

**10. Compare two quantities, A and B. **

**A) x ^{17} B) (x^{6})^{3}**

B. B is greater than A

C. A and B are equal

D. There is not enough information provided to determine the relationship between A and B.

## Answer Key

**1. B.** Convert the percentage to the fraction 65/100, then simplify by dividing numerator and denominator by 5.

**2. D.** Be sure that your factors will convert back to the polynomial when multiplied according to FOIL.

**3. B.** Multiply 3 by .6, then convert into a fraction.

**4. C.** The formula for slope is y = mx + b, in which m is slope.

**5. A.**

**6. A.** The larger number in the thousandths place indicates that A is larger.

**7. C.** Both A and B are equal to 4.

**8. D.** It is impossible to determine how many points Roger scored in each of the quarters of the second half.

**9. A.** The lowest possible value for x and y still adds up to more than 7.

**10. D.** The value for B is equivalent to x18. However, depending on what x is, x17 may be greater, equal to, or less than x18.

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