October 25, 2017

CLEP College Math Exam Practice Questions

1. The function f(x) = 2x2/3 + 2x + 3 has intercepts at

a. (0,3) and (2,0)
b. (0,3) only
c. (3,0) and (0,3)
d. none of the above

2. The set A = {x| f(x) ≥ 2×2 − 5} and the set B = {x| g(x) ≤ −x2 + 4}. The set C = {x| A ∩ B} has the range

a. −3 < x < 3
b. −3 ≤ x ≤ 3
c. −√3 ≤ x ≤√3
d. −√3 < x <√3

3. A round cylinder is 10 cm in diameter and 25 cm in length. It has a total surface area of

a. pr2h
b. 2pr(h + r)
c. 2pdh
d. 2pr2 + h

4. A triangular prism has a right triangle cross-section. The orthogonal sides are each 2 cm wide, and the total length of the prism is 10 cm. The total surface area of the prism and its volume are

a. (44 + 10√2) cm2 and 20 cm3
b. (64√2) cm2 and 20 cm3
c. 42 cm2 and 22 cm3
d. 2(22 + 10√2) cm2 and 20 cm3

5. A = {0, 1, 2, 4, 8, 9, 16}, B = {1, 3, 5, 7, 9, 11} and C = {0.25a, 0.3b}

When a = 4 and b = 9, D = A U (B U C) is

a. D = {0, 1}
b. D = {1}
c. D = {1, 3}
d. D = {0.25, 8}

6. There are three branches in a particular electrical circuit. An indicator light is on (True) if both the first and third branches are active (True) or if the second and third branches are active (True), but not (False) if both the first and second branches are active. The truth table for the indicator light is:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7. The graph of the function y = 3x2 − 6x + 18 has a maximum or minimum value at

a. (1, 15)
b. (3, −6)
c. (6, −3)
d. (6, 18)

8. The equation x2 − 2x + 3 has roots

a. −2, 3
b. 1 + i√2, 1 − i√2
c. 2 + i√3, 2 − i√3
d. 6 − i√2, 6 + i√2

9. The vectors A and B begin at the same point and extend to the coordinates (6, 16) and (16, 6) respectively. The value of A●B is

a. 96
b. 36
c. 192.
d. 256

10. Over a total of 212 test results, the following results were found:

Range            # of tests
0 − 10                       1
11 − 20                      1
21 − 30                     10
31 − 40                     13
41 − 50                     17
51 − 60                     26
61 − 70                     72
71 − 80                     31
81 − 90                     27
91 − 100                   14

The mean, median and mode ranges of the test scores are

a. 58.92 − 68.92, 61 − 70, 61 − 70
b. 61 − 70, 51 − 60, 61 − 70
c. 60 − 65, 61 − 70, 61 − 70
d. 58.92 − 68.92, 61 − 70, 51 − 60

CLEP College Math PT Exam Answer Key