10/22/24, 12:51 QPT Example questions
PM Final 6
1 Advanced Algebra
This section tests for knowledge of algebraic symbols, elementary functions
and their inverses.
Solve for x.
ln(x)2
= y
3
√
3y
a) x = e
3y
b) x = ln
c) ln(y)2
x=
3
√
d) x = e3y
2 Linear
Algebra
This section tests for knowledge of matrices and matrix operations.
Compute the determinant of the following sum.
1 8 11 2 2 1
2 −1 3 + 1 −1 1
0 5 1 −1 3 −1
3 10 12
a) 3 −2 4
−1 8 0
3 3 −1
b) 10 −2 8
12 4 0
c) 128
d) 76
1
about:blan 1/
k 5
, 10/22/24, 12:51 QPT Example questions
PM Final 6
3 Probability
This section tests for interpreting probabilities from scenarios, Bayes’ theo-
rem, and the central limit theorem.
If a six sided die is rolled six times, what is the probability that the number
1 was rolled exactly once?
a) 100%
b) 40.1%
c) 16.6%
d) 6.7%
4 Statistics
This section tests for knowledge of random variable, point estimates, and
calculating z-scores.
What is the mean of the following data set?
[3, 4, 4, 5, 8, 10, 15]
a) 5
b) 8
c) 12
d) 7
2
about:blan 2/
k 5
PM Final 6
1 Advanced Algebra
This section tests for knowledge of algebraic symbols, elementary functions
and their inverses.
Solve for x.
ln(x)2
= y
3
√
3y
a) x = e
3y
b) x = ln
c) ln(y)2
x=
3
√
d) x = e3y
2 Linear
Algebra
This section tests for knowledge of matrices and matrix operations.
Compute the determinant of the following sum.
1 8 11 2 2 1
2 −1 3 + 1 −1 1
0 5 1 −1 3 −1
3 10 12
a) 3 −2 4
−1 8 0
3 3 −1
b) 10 −2 8
12 4 0
c) 128
d) 76
1
about:blan 1/
k 5
, 10/22/24, 12:51 QPT Example questions
PM Final 6
3 Probability
This section tests for interpreting probabilities from scenarios, Bayes’ theo-
rem, and the central limit theorem.
If a six sided die is rolled six times, what is the probability that the number
1 was rolled exactly once?
a) 100%
b) 40.1%
c) 16.6%
d) 6.7%
4 Statistics
This section tests for knowledge of random variable, point estimates, and
calculating z-scores.
What is the mean of the following data set?
[3, 4, 4, 5, 8, 10, 15]
a) 5
b) 8
c) 12
d) 7
2
about:blan 2/
k 5
