# 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 x^{2} - 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 =