Assessment Sample Question for Mathematics

for Arithmetic

The arithmetic skills Assessment has questions on
operations with whole numbers, fractions, decimals
and percents, including application and problem
solving. There will be seventeen questions on the
actual placement assessment. You will be given
pencils and paper but you cannot use a calculator. The
answers are on page 16.

Tip: The Assessment is untimed, so be sure to double
check your work and compare your answer with the
choices given.
1. Add/Simplify:

2. Subtract/Simplify:

3. Multiply/Simplify:

4. Divide/Simplify:

5. Multiplying by 0.00001 is the same as dividing by:

6. Divide: 36.14 ÷ 6.95

7. Divide/simplify: 802 ÷ 5

8. Divide/Simplify: 0.5 ÷ 0.005

A. 0.01
B. 0.0001
C. 100
D. 1000

9. Divide/Simplify:

10. Add/Simplify:

A. 0.506
B. 0.92
C. 0.092
D. 0.56

11. The fraction
is equal to all of the following EXCEPT:

12. Which of the following shows a way to change a
6/7 to an equivalent fraction?

13. How many thirds are in 8.94?

A. 2.98
B. 0.336
C. 26.82
D. 5.96

14. If equals 4.52, then N is approximately:

A. 450
B. 4500
C. 4000
D. 400

15. Which of the following is the closest
approximation to 14.235 x 9.952?

A. 126
B. 135
C. 140
D. 150

16. If of a number is 30, what is of twice the
number?

A. 50
B. 8
C. 2
D. 4

17. Which of the following is closest to 32% of $563?

18. A recipe calls for 2 cups of milk for every 5 cups
of flour. If 7 cups of milk is used, how many
cups of flour should be used?

19. Henry planned to moveof his CD collection in
the new cabinet in the morning and the rest in the
afternoon. If he moved only as many as he
planned in the morning, what fraction of his CD’s
were left to be moved in the afternoon?

20. If 30 is 25 percent of a number, then the number is
what percent of 30?

A. 40
B 4
C. 75
D. 400

21. Janie sold her diamond necklace for $560, which
was 12% more than what she originally paid
for it. How much was the original price?

A. $672.00
B. $627.20
C. $500.00
D. $492.80

22. Because of a typographical error, Mark mistakenly
wrote 50 km instead of 50 cm. The erroneous distance
was how many times the intended distance?

A. 1,000
B. 100,000
C. 10,000
D. 0.000001
23. If sheet of fabric is used to make one shirt,
what is the total number of shirts that can be
made from 40 sheets of fabric?

A. 133
B. 13
C. 12
D. 120

24. Last year, John’s salary was $25,000.
If he got a $2,000 raise for the year, what percent of
last years salary is his raise?

A. 12.5%
B. 80%
C. 125%
D. 8%
25. A couch is feet long. The material needed to
make a slipcover is to be times as
long to allow for hems and tucking under
How long a piece of material is needed?
A. feet
B. feet
C. feet
D. feet

Sample Questions
for Elementary Algebra

This portion of the Assessment measures your ability
to perform basic algebraic operations and to solve
problems that involve elementary algebra concepts.
There will be twelve questions on the actual algebra
placement assessment. The answers are on pages 16-
17.

1. Which of the following is the greatest common
factor of the equation:



2. Which of the following is a factor of the expression:


3. If 2x – 6 = 4, then x equals:

A. 5
B. -1
C. 1
D. -5

4. If x = 3 and y = -2, then equals:

A. 31
B. 17
C. 35
D. 13

5. If, then x equals:

6. If , then a equals:

7. If  , then n equals:

A. -4ab
B. 4ab
C. -8ab
D. 8ab

8. All of the following are equal EXCEPT:

9. Given the following:

and
,which of the following is true about
the numbers x, y, and z?

10. If 2x + y = 14 and x = 3y, then x equals:

A. 2
B. 6
C. 8
D. 12

11. Simplify:

12. Simplify:

13. Simplify:

14. Simplify: ( 5 - 8 ) - ( 4 - 5 )

A. 2
B. -2
C. 4
D. –4

15. Evaluate/Simplify:

16. Which of the following is the greatest?

A. 10 + ( -2 )
B. 10 - ( -2 )
C. 10 x ( -2 )
D. 10 ÷ ( -2 )

17. Which of the following is the least?

A. -50

18. Evaluate/Simplify:

19. Evaluate/Simplify:

20. Evaluate/Simplify:

21. Evaluate/Simplify:

22. If x - z = xy + w, then x equals:

23. If then a equals:

24. Evaluate/Simplify:

25. Evaluate/Simplify: ( x - 1) (2x + 3)

26. Simplify:

27. The length of a rectangle is four more than twice
the length of the width. If the area of the rectangle is
16 square feet, what is the length of the rectangle?

A. 8 feet
B. 4 feet
C. 2 feet
D. 6 feet

28. The equation 2x + 3 > 15 could be used to
represent all of the following sentences EXCEPT:

A. Three more than twice a number is greater than
fifteen.

B. Fifteen is less than twice a number increased by
three.

C. A number squared plus three is greater than
fifteen.

D. Double a number increased by three is greater
than fifteen.

29. One number is four more than another. If four
times the smaller number is equal to twice the larger,
what is the smaller number?

A. 8
B. 4

30. There are 52 cards in a deck. If x cards are
removed, which of the following expressions represent
the number of cards left?

31. In the graph of 3x + 2y = 6, what are the
coordinates of the point where the line crosses the yaxis?
A. (6, -6)
B. (2, 0)
C. (0, 3)
D. (4, -3)

32. Which graph represents the graph of x - y = 3?

Sample Questions for
College-Level Mathematics

This measures your preparation to enroll in
Precalculus Trigonometry or Calculus. There will be
20 questions on the actual college-level mathematics
assessment. Answers are on page 17.

6. If , then x =

7. If

8. If , x =

9. If x² - 5x – 6 ≥ 0, then

10. If
,then x =

11. The equation of the line passing
through (1, 7) and (-2, 3) is

12. The graph of

  is a

A. circle
B. ellipse
C. hyperbola
D. parabola

13. The vertex of the parabola
   is

14. The center of the circle
is

15. The 5^th term of the expansion
is

16. Determine the domain of the function f

D.{ {all reals }

17. If

18. If and sin x < 0,
tan x =

19. The expression csc x tan x =

A. cos x
B. tan x
C. cot x
D. sec x
20. If
and 0 ≤ x < 2π, then x =