Math Assessment
Solve the following 17 arithmetic problems and select the correct answer from the choices
given.
1. 3.75 + .004+ .179 =
a. 3.969
b. 3.933
c. .558
d. 5.58
2. .05 x .05 =
a. .25
b. .0025
c. .025
d. 2.5
3. Three people are going to contribute money for a new building. Person A will provide
one-third of the money. Person B will contribute one-sixth of the money. What fraction
represents Person C’s contribution of money for the project?
a. 2/3
b. 5/6
c. 1/2
d. 16/18
4. 100 is 20 percent of what number?
a. 5
b. 20
c. 200
d. 500
5. 2/3 – 1/2 =
a. 1/6
b. 2/6
c. 1/5
d. 2/5
6. Which of the following is the least?
a. .14
b. .014
c. .401
d. .41
7. 6/32=
a. .01875
b. .875
c. .1875
d. 1.875
8. All of the following are correct way to write 50 percent of x except:
a. 50x/100
b. x/2
c. .50x
d. 50x
9. A baseball team had 32 games this season and lost 25 percent of them. How many
games did the team lose?
a. 8
b. 16
c. 18
d. 24
10. Which of the following is the closest to 17.9 x 6.1 ?
a. 102
b. 108
c. 1020
d. 1080
11. 5 ½ - 2 ¼ =
a. 3 ¼
b. 3 ⅛
c. 3 ⅙
d. 3 ⅕
12. 2/5 is equivalent to what percentage?
a. 10%
b. 20%
c. 40%
d. 50%
13. Which of the following is closest to 301
4.9?
a. 60
b. 600
c. 75
d. 750
14. 2.25 + .555 + .001 =
a. 2.581
b. 2.806
c. 2.905
d. 7.81
15. Mary bought a shirt on sale for $9. The original price of the shirt was $12. What was
the percentage of the discount on the sale?
a. .25%
b. 25%
c. 33%
d. 50%
16. Which of the following is the greatest?
a. .2065
b. .0265
c. .265
d. .2056
17. 12
80 =
a. .015
b. .15
c. 1.5
d. 15
Solve the following algebra problems and select the correct answer
18. (2x-3y)² =
a. 4x² + 9y² - 12xy
b. 4x² + 9y² + 12xy
c. 4x² + 9y²
d. 4x² - 9y²
19. If 3x -2(x+5) = -8, then x =
a. -12
b. 12
c. -2
d. 2
20. (x² - x - 6) ÷ (x-3) =
a. X+2
b. X-2
c. x² +x +2
d. x² +x – 2
21. (2 + -12) ÷ 5 =
a. 2
b. 2 ⅘
c. -2
d. -2 ⅘
22. If X represents the number of oranges purchased at 30 cents each and Y represents the
number of lemons purchases at 35 cents each, which equation below represents the
total value of the purchase?
a. X + Y
b. .65(X + Y)
c. .35X +.30Y
d. .30X +.35Y
23. If circle A has a radius of 0.5 and circle B has a radius of 0.3, what is the difference in
area between the two circles?
a. -0.65
b. 0.16
c. 1.6
d. 2.41
24. What is the value of the expressions 3x²+ 4xy - y² when x = 2 and y = -2
a. -8
b. 0
c. 8
d. 24
25. (3x – y)(2x + y)
a. x² + xy - y²
b. x² + xy + y²
c. 6x² + xy - y²
d. 6x² + xy + y²
26. √6 x √5
a. 11
b. 30
c. √11
d. √30
27. -2(7-3) – 5(3-4)
a. -13
b. -3
c. 3
d. 13
Solve the following data analysis & probability problems and select the correct answer
28. The following are the number trusses ordered per month at Tom’s Construction Company.
What is the mean?
95, 90, 82, 96, 34
a. 90
b. 79.4
c. 794
d. 61
29. Wayne has observed that 15 out of 60 jobs he reports to require him to use his laptop. What is
the probability that Wayne goes to a job, he will NOT need his laptop?
a. 60/15
b. 15/60
c. ¾
d. ¼
30. A certain school has 1200 students. In a random survey of 44 students, 11 have received
certificates of academic excellence. How many students in the entire school would you expect
received these certificates?
a. 11
b. 300
c. 480
d. 4800
31. Jane has 5 different playing cards in her hand. How many different orders can the cards
be arranged?
a. 5
b. 25
c. 120
d. 240
32. The teacher has 3 red pens, 8 black pens, and 4 blue pens all the same size in a box.
What is the probability of reaching in without looking and picking out a red pen?
a. 1/15
b. 1/3
c. 1/4
d. 1/5
33. The band teacher took a survey to find out the reasons why students took his class. He
made the following histogram from the data he collected. Which reason for taking band
is the MODE of the data.
a. I love music
b. Parent(s) required
c. Easy Grade
d. Enjoy a challenge
Solve the following spatial sense, geometry, and measurement problems and select the correct
answer
34. If Sonya works on Monday from 11:45 am until 2:15 pm, on Tuesday from 11:30 am
until 2:00 pm, and on Thursday from 9:30 am until 12:15 pm, how many hours did she
work total?
a. 7.75 hours
b. 6.5 hours
c. 8.75 hours
d. 7.25 hours
35. The height of a right cylindrical can of peas is greater than the diameter of the base of
the can. The can is sliced into two equal parts through its bases. Which figure best
describes the cross section of the cylinder?
a. Circle
b. Triangle
c. Rectangle
d. Semicircle
36. Tom is designing a triangle. What is the length of the missing side of the right triangle?
a. 13
5
?
b. 4
c. 17
d. 10
12
37. Given that the triangle is isosceles, what is the measure of the missing angle?
a. 140°
40
b. 40°
c. 320°
d. 70°
X°
38. What is the volume of the following oil tank? Round your answer to the nearest
hundredth. Use the formula V = ∏ * r² * h , ∏ = 3.14
a. 18.84 yd³
b. 37.68 yd³
2 yd
c. 44.48 yd³
d. 75.36 yd³
6 yd
39. What transformation(s) describe(s) the relationship between the two letters shown.
И N
a. Dilation
b. Reflection
c. Dilation and reflection
d. Reflection and rotation
40. Tom has a rectangular sheet of wrapping paper measuring 30 inches along one side.
The perimeter of the paper is 100 inches. What is the length of the other side?
a. 20
b. 30
c. 40
d. 50