Free GMAT Practice Questions

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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

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