Testing
Center
MDTP Math
Assessment Examples
There
are four mathematics levels from which to choose. After examining the following problems for
each level, take a moment to determine which level you feel will best challenge
your math competency. For examinees who
are retesting, please remember that you cannot retest on the same level
unless 60 days has passed but may take a different level anytime. Also,
if you have attended and dropped a math class, but received a W, you cannot retest. The course recommendations
listed for each level below are based on the actual number of correct answers
that you receive on the MDTP math assessment test.
LEVEL 1 - Basic
Math Competency
(50 questions--50
minutes)
Score Course Recommendation
0 - 19 Math 10, Introduction to Math
20
- 30 Math 20, Pre-Algebra
31
- 50 Math 70, Elementary Algebra
Math 71, Elementary Algebra 1
Math 50, Business Mathematics
Ag 280, Agricultural Computations
Level
1 - Basic Math Samples
Integers
· 1. Jim
wrote a check for 318.00. If his balance
was then $2,126.00,
what was his balance before he wrote this check?
a) $808 b)
$1808 c) $2444 d) $5306
· 2. What number multiplied by 6 gives 18 as a result?
a) - 12 b)
- 3 c) 3 d) - 54
Decimals
· 3. 7.20
2.4 =
a) 0.03 b)
0.30 c) 3.00 d) 30.0
· 4. Which of the following best approximates 1.147 114.7?
a) 100 b) 10 c) 10 d) 100
Fractions
· 5. The ratio of winning tickets to tickets sold in the California Lottery
is 2:5.
If 3,500,000 tickets are sold, how many
are the winners?
a) 700,000 b) 750,000 c) 1,400,000 d) 1,500,000
· 6. 1+ ½ =
1 - Ύ
a)
-6 b) -2 c)
2 d) 6
Operations
· 7. If
in the formula p = kt, k = 36 and p =
144, then t =
a) 5
b) 4 c) 12 d)
108
· 8. 4(b+2)
=
a) 4b + 2 b) b + 6 c)
b + 8 d) 4b + 8
y
A
(0,5)
Geometry
· 9. In the figure shown, what is the length of segment AB?
a) 5 b)
5 c) 13
d) 19 B (12,0)
x
· 10. If
C is the midpoint of segment AB in the figure shown, then the coordinates of C
are:
a) (7/2 , 7/2) b) (6 , 7/2) c) (19/2 , 7/2) d) (19, 7/2)
y A (0, 7)
C
x B
(120)
·11. What is the diameter of the
circle whose area is 36 pi?
a) 12 b) 18 c) 6 pi d)
18 pi
Level
2 Elementary Algebra Competency
(50
questions 50 minutes)
Score Recommendation
0 - 16 Retest
on Level 1: Score too low for placement
17 - 36 Math 70, Elementary Algebra
Math 71, Elementary Algebra 1
Math 50, Business Math
Ag 280, Agricultural Computations
37
- 50 Math 90, Intermediate Algebra
Math 80, Plane Geometry
Arithmetic
· 1. (0.12) 2 =
a) 0.00144 b) 0.0144 c) 0.144 d)
.024 e) 1.44
Polynomials
· 2. One of the factors of x2 x
6 is:
a) x + 3 b) x + 2 c) x 1 d) x 2 e)
x 6
Linear Equations and Inequalities
· 3. If 6x 3 = 8x 9, then x =
a) 6 b) 3 c) 3 d) 
e)
Quadratic Equations
· 4. What are the possible values of
x such that 3x2 - 2x = 0?
a) -2/3 b) 0 only c) 2/3 only d) 0 and 2/3 e)
2/3 and 2/3
Graphing
· 5. On the number line below, which letter best locates 5/9?
P
Q R S
T
0 1 2 3 4 5 6 1
7 7 7 7 7 7
a) P b)
Q c) R d) S e) T
Rational Expressions
· 6. 2 - 1 =
w + 1 w - 1
a) 1
b)
1 c)
w - 3 d) w + 3
e) 3 w 1
w + 2 w
2 - 1 w 2 1
w 2 1 w 2 1
Exponents and Square Root
· 7. If x
> 0, then 
=
a) 
b) 
c) 
d)
e) 
B
Geometry and Measurement
· 8. In
the right triangle shown to the right, what is the length of AC? 13
5
a) 8 b) 12 c) 18 d)
e) 
A C
· 9. If x is
to y as y is
to B, What is
the value of
x when y =2 ?
a) 5/16 b) 4/5 c)
5/4 d) 16/5
LEVEL
3 Intermediate Algebra Competency
(45
questions 50 minutes)
Score Recommendation
0 - 20
Retest on Level 2: Score too low for placement
21 - 29 Review:
Math 90, Intermediate Algebra
Math 80, Plane Geometry
Transfer Level:
30
- 45 Math 101, Mathematics Ideas &
Applications
Math 105, Structure of Mathematics I
Math 111, Applied College Algebra
Math 130, Finite Mathematics
Math 134, Elementary Statistics
Elementary Numeric and Algebraic Operations
· 1. 
+
2 =
a) 
b) 
c)
d) c
+ 2d e) c
Rational Expressions
· 2. 
d c
a) 
b) 
c) dc d) dc e) 
Exponents and Radicals
· 3. 
+ 
=
a) 6 b) 3
c) 4
d) 10
e)
Linear Equations; Inequalities; Absolute Value
· 4.
If 3x
+ 2y =
8 and y
= x 1, then
x =
a) 6 b) 
c) 
d) 
e) 2
Polynomials; Quadratic equations
· 5.
One of
the roots of (x
2) (3x + 4) = 0 is
a) 2 b) 
c)
d) e)
The Coordinate Plane and Graphing
· 6. Which of the following is an
equation of a line with slope 3 and y-intercept 4?
a) y
= 
x - 4 b)
y = 3x 4 c) y = 3x + 4 d)
y = 4x - 3 e)
y = 4x + 3
Functions and Logarithms
· 7. If log
+
log
=
3, then xy =
a) 0.001 b) 1.0 c) 10 d) 100 e) 1000
Word Problems
· 8. A student
who correctly answered
72 questions on
a test received
a score of
75%.
How
many questions were
on the test?
a) 54 b) 72 c) 75 d) 96 e) 104
Level
4 Pre-Calculus Competency
(40
questions 60 minutes)
Score Recommendation
0 - 19 Retest
on Level 1: Score too low for placement
20
- 29 Math 101, Mathematics Ideas &
Applications
Math 105, Structure of Mathematics I
Math 111, Applied College Algebra
Math 130, Finite Mathematics
Math 134, Elementary Statistics
30 - 40 (without demonstrated
Trigonometry skills):
All the above and:
Math 121, Pre-calculus I
Math 138, Calculus for Business & Social
Sciences
30
- 40 (with demonstrated
Trigonometry skills):
All the above and:
Math 171, Calculus: First Course
Elementary
Operations with Numerical and Algebraic Fractions
· 1. 
a) 
b) 
c) 
d) 
e) 
Operations with Exponents and Radicals
· 2. 
a) 
b) 
c) 
d) x
e) 
Linear Equations and Inequalities
· 3. For what value of t
does 
a) 6 b) 
c) 
d)
e) No
Value of t satisfying this equation.
Polynomials and Polynomial Equations
· 4. If (x - 1) (x2 4) + 2(x
- 1) (x + 2) = (x 1)P,
then P =
a) x2 - 2 b) 
c) x(x + 2) d) x2 + 2 e) (x +
2)2
Functions
· 5. If f(x) 2 x + 5 and g(x) = 1
x2, then f(g(2)) =
a) 3 b)
1 c) 1 d) 2 e) 9
Trigonometry
· 6.
If sin 
= 
and 0 ≤ ≤ 
,
then tan =
a) 
b)
c) 
d) 
e) 
Logarithmic and Exponential Functions
· 7. log 
=
a) 81 b) 9 c)
3 d)
e) 
Word Problems
· 8. If 
is 
of 
of
a certain number, then that
number is:
a) 
b) 
c)