GRE Quantitative

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: 16^2a
C: 2^2a
D: 2^3a  

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

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.

10. Compare two quantities, A and B. 

A) x¹⁷ B) (x⁶)³

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.  

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.

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

GRE Study Guide

GRE Verbal Practice

GRE Quantitative Practice

GRE Exam Information

GRE Practice Questions