# Free GMAT Practice Questions ## 10 Sample GMAT Math Problems

Below are 10 practice questions to help you study for the math portion of the GMAT exam.

1. Simplify
x2 + 7x + 10
3x5 + 6x4
÷
x2 + 7x + 10
3x5 + 6x4

a.
15x2
3x4 (x-5)

b.
5x4
x+5

c.
-5x4
x-5

d.
5x4 (x-5)

e.
5x4
x-5

2. Factor the trinomial 4x2-9x-9

a. (4x+3)(x+3)

b. (4x+3)(x-3)

c. (8x-6)(x+3)

d. (4x+3)(3x+1)

e. (2x-3)(2x-3)

3. Simplify the expression
18x4y10z6
20x11y3z

a.
9y7z5
10x7

b.
9y7x7z5
10

c.
-z5
2

d.
y7z5
2x7

e.
9x7
10y7z5

4. Multiply (x+3)2

a. x2 + 9x + 9

b. x2 + 6x - 9

c. x2 - 9

d. x2 + 6x + 9

e. x2 + 6

5. | 3x +9 | < 15

a. x < -2 or x > 8

b. x > -2 or x > 8

c. x > -2 and x < 8

d. x > 2 or x < -8

e. none of the above

6. 3√8 + √81 =

a. 13

b. 89

c. 17

d. 33

e. 11

7. Annie has a total of 100 dimes and quarters. If the total value of the coins is \$14.05, how many quarters does she have?

a. 3

b. 40

c. 56

d. 73

e. 27

8. Which equation is part of the process of completing the square for x2 - 8x + 4 = 49?

a. (x+8)2 = 11

b. (x-8)2 = 67

c. (x-4)2 = 61

d. (x+4)2 = 19

e. (x+2)2 = 11

9. The sum of x2 and 7x is -10. What is one possible answer for x?

a. x = -2

b. x = 5

c. x = 2

d. x = 10

e. x = -7

10. In the following sequence, each term is 6 greater than the previous term. Which of the following could NOT be a term in the sequence? -36, -30, -24, -18,…

a. -492

b. 258

c. 344

d. 510

e. 678