# Free CLEP College Math Exam Practice Questions

##### 1. Two complex numbers a + ib and c + id are identical
1. if a and b are equal
2. if and only if c and d are equal
3. if and only if a = c and b = d
4. if and only if a = b and c = d
1. (4,3)
2. (1,2)
3. (2,1)
4. (6,1)
##### 3. The number of elements in the set A = 1,232, in set B = 4,376 and in set C = 3,128. Some elements of A are also found in B and C, and some are found in all of A, B and C. The number of unique, or unshared, elements in the set A U B U C is
1. 8,736
2. nA + nB + nC − n(A ∩ B) − n(A ∩ C) − n(B ∩ C)
3. nA + nB + nC − n(A ∩ B) − n(A ∩ C) − n(B ∩ C) − n(A ∩ B ∩ C)
4. nA + nB + nC − n(A ∩ B) − n(A ∩ C) − n(B ∩ C) + n(A ∩ B ∩ C)
##### 4. In a group of 48 people, 1/3 claimed to be Christians, 3/16 were followers of Islam, 1/16 were Buddhists, 1/16 were Hindu, 1/48 were Sikh, 1/12 were traditional Native Americans and the remainder claimed no religious affiliation. The number of individuals in each group was
1. 12, 4, 1, 3, 3, 9, 16
2. 16, 9, 3, 3, 1, 4, 12
3. 12, 1, 4, 3, 3, 9, 16
4. none of the above
1. 0.50
2. 1
3. 1/17
4. 0
1. 650
2. 48
3. 560
4. 6
1. 6 and 6.5
2. 6 and 7
3. 6 and 8
4. 6.5 and 7
##### 8. Seven samples were obtained having the values 21, 22, 26, 29, 27, 26 and 24. The mean and standard deviation values are
1. 22.4 and 2.6
2. 25 and 2.2
3. 25 and 2.6
4. 25.6 and 2.2
##### 9. The factors (x − 3), (x − 4) and (x + 7) expand to give the equation
1. x3 − 12x2 -7x + 84
2. x3 + 84x2 − 14x + 14
3. x3 − 37x + 84
4. x3 + 14x2 − 7x + 84
##### 10. When multiplied together the two complex numbers (6 + i5) and (3 − i3) yield
1. (18 − i15)
2. (33 − i3)
3. (33 − i9)
4. (33 − i15) 