CLAST Math
On-Line Practice Quiz

CLAST Math Practice Quiz

Arithmetic Subtest

Question 1

a) -3/11
b) 3/11
c) -3 2/3
d) 3 2/3

Question 2

a) (3 x 9)⁶
b) (3 x 3 x 3) (9 x 9)
c) (3 +3 + 3) ( 9 + 9))
d) ( 3 x 3) ( 9 x 2)

Question 3

a) 1/10²
b) 1/10
c) 1/10⁸
d) 1/10⁰

Question 4

a) $225
b) $4400
c) $9000
d) $2200

Question 5

a) 7.547
b) -28.113
c) -7.547
d) -27.366

Question 6

a) 0.176
b) 17.6
c) -0.176
d) -17.6

Question 7

a) 0.20
b) 0.20%
c) 0.020
d) 2.0%

Question 8

a) <
b) =
c) >
d) None of these answers

Question 9

Look for a common linear relationship between the numbers in each pair. Then identify the missing term.

(2, 1)
(0.4, 0.2)
(-4, -2)
(1/9, 1/18)
(14, 7)
(1/3, ___)

a) 3/2
b) 1/6
c) 2/3
d) 6

Question 10

a) 40%
b) 60%
c) 12%
d) 6%

Question 11

a) 0.44
b) 18.45
c) 184.5
d) 1.845

Question 12

a) 53.3 gal
b) 10.7 gal
c) 28.4 gal
d) 106.7 gal

Question 13

a) $2.80
b) $14.00
c) $30.00
d) $16.00

Question 14

a) 5
b) 6
c) 4
d) 3


Subtest Score will appear when you check the test at the end:
Arithmetic Subtest Total:

Alegrbra Subtest:

Question 15

a)15
b) 17 - 2
c) + 15
d) 17² - 2

Question 16

a)

b)

c)

d)

Question 17

a) 4.00 x 10^-11
b) 4.00 x 10^-1
c) 4.00 x 10¹¹
d) 4.00 x 10¹

Question 18

a) 10t² + 30t
b) 2/5t² + 30t
c) 2/5t² + 20t
d) 10t² + 20t

Question 19

a) (a + b) (a - b) = (a - b) (a + b)
b) 6(a) + 6(b) = 6(a + b)
c) 6xy(3x + y) = 6xy(3y + x)
d) (3a)b = 3(ab)

Question 20

a) x < -1
b) x > 3
c) -3 < x < -1
d) -1 < x < 3

Question 21

a) b > 14
b) b > -14
c) b = -14
d) b < -14

Question 22

a) ii and iii only
b) i only
c) ii only
d) iii only

Question 23

a) $700
b) $630
c) $2100
d) $6300

Question 24

a) -23
b) 25
c) 13
d) 24

Question 25

a) x + 2
b) x - 5
c) x - 3
d) x + 5

Question 26

a)
b)
c)
d)

Question 27

a) The empty set
b) (-1, 1)
c) (1, 1)
d) {(x, y) | y = -4x - 3}

Question 28

Which option gives the condition(s) that corresponds to the shaded region of the plane shown below?

a) x > 5, y < 5, and y < x
b) y = -x
c) y < x + 5
d) x > 5 and y < 5

Question 29

Two machines can complete 6 tasks every 5 days. Let t represent the number of tasks these machines can complete in a 30-day month. Select the correct statement of the given condition.

a) t/6 = 1/6
b) t/5 = 5/2
c) 6/5 = t/30
d) 5/6 = t/30

Question 30

a) $7.15
b) $8.95
c) $7.70
d) $8.40

Question 31

The difference between a number and two more than five times the number is four. What equation could be used to find x, the number?

a) x - (5x + 2) = 4
b) x - (2x + 5) = 4
c) x + (5x -2) = 4
d) x - 5x + 2 = 4

Subtest Score will appear when you check the test at the end:
Algebra Subtest Total:

Geometry Subtest

Question 32

a) 538 sq. in.
b) 438 sq. in.
c) 660 sq. in.
d) 538 in.

Question 33

What type of measure is needed to express the surface area of the solid rectangle shown below?

a) cubic
b) equilateral
c) square
d) linear

Question 34

a) $507.50
b) $4567.50
c) $1522.50
d) $761.25

Question 35

3 sides	4 sides	6 sides
1 triangle	2 triangle	4 triangles
S = 180	S = 360	S = 720

a) 1080
b) 1260
c) 900
d) 1440

Question 36

Study the figure, then select the formula for computing the total area of the figure.

a) A = LW + W²
b) A = LW +L²
c) A = 1/2L² + LW
d) A = 1/4L² + LW

Question 37

Identify the angle below.

a) acute
b) obtuse
c) straight
d) right

Question 38

Which statement is true for the figure shown, given that L₁ and L₂ are parallel lines?

a) Since mT = 70º
                 mS = 110º
b) None of the statements is true.
c) mV = mR
d) Since mT = 70º
                 mQ = 60º

Question 39

Which statement is true for the pictured triangles?

a) AC = 3.9
b) mx = 40º
c) CE/CA = CB/CD
d) mz mw


Subtest Score will appear when you check the test at the end:
Geometry Subtest Total:

Statistic and Probability Subtest

Question 40

a) Survey a random sample of students from a list of the entire student body.
b) Have students voluntarily mail in their preferences.
c) Survey a random sample of students from the English department.
d) Survey the first hundred students from an alphabetical listing.

Question 41

The graph below represents the yearly rainfall in inches in Sagamore County for 1982-1987. Find the rainfall for 1986.

a) 15 inches
b) 41 inches
c) 36 inches
d) 21 inches

Question 42

The graph below depicts the size (square feet) and sales price ($) for homes sold in New York (x) and homes sold in California (o) as determined by the 1990 Real Estate Association survey. Which of the following is true based on the graph below?

a) Larger homes tend to cost more than smaller home; a stronger relationship exists for homes in California than for homes in New York.
b) A relationship between price and size exists ONLY for homes in California.
c) Larger homes tend to cost more than smaller homes; a stronger relationship exists for homes in New York than for homes in California.
d) A relationship between price and size exists ONLY for homes in New York.

Question 43

The number of patients treated at Dr. Jason's dentist office each day was recorded for 9 days. Using the given data, find the mean, the median, and the mode for this sample.

3, 17, 1, 16, 1, 1, 14, 1, 27

a) 9, 3, 1
b) 1, 3, 9
c) 9, 1, 3
d) 14, 1, 3

Question 44

The graph below represents the distribution of scores on a placement test for students at Central High School. Select the statement that is true about the distribution of scores.

a) The median and the mode are the same.
b) The mean is greater than the mode.
c) The median is less than the mode.
d) The mean and the mode are the same.

Question 45

a) 280
b) 56
c) 35
d) 5

Question 46

The table below shows the distribution of families by income in Tampa, Florida.

Income Level		Percent of Families
$ 0 -	9, 999	3
10, 000 -	14, 999	5
15, 000 -	19, 999	24
20, 000 -	24, 999	40
25, 000 -	34, 999	11
35, 000 -	49, 999	9
50, 000 -	79, 999	4
80, 000 -	119, 000	3
120, 000 and over		1

Identify the amount below which 8 percent of the families in Tampa have lower incomes.

a) $15,000
b) $35,000
c) $25,000
d) $20,000

Question 47

a) 75%
b) 60%
c) 85%
d) 70%

Question 48

The following is a distribution of the cause of fires nationally:

Cause	Percent of all Fires
Cooking	34
Smoking	17
Appliances	16
Heating system	6
Electrical system	7
Other	20

If it is known that a fire has NOT been caused by the heating or electrical systems, find the probability that it was caused by appliances.

a) 34/87
b) 4/25
c) 17/50
d) 16/87


Subtest Score will appear when you check the test at the end:
Statistics/Probability Subtest Total:

Logic Subtest

Question 49

The negation of the statement "If Kim is offered a free trip, she will accept it" is:

a) Kim is offered a free trip and she does not accept it.
b) If Kim is not offered a free trip, she will not accept it.
c) Kim is offered a free trip and she accepts it.
d) If Kim is offered a free trip, she will not accept it.

Question 50

a) If Frank is not a student, Daniel is not a student.
b) Daniel is not a student and Frank is not a student.
c) If Daniel is not a student, Frank is not a student.
d) Frank is not a student or Daniel is not a student.

Question 51

Select the rule of logical equivalence that directly transforms (in one step) statement "i" into statement "ii."

i.  If x² is odd, then x is odd.
ii. If x is not odd, then x² is not odd.

a) "If p, then q" is equivalent to "(not p) or q."
b) The correct equivalence rule is not given.
c) "If p, then q" is equivalent to "if not q, then not p."
d) "Not (p and q)" is equivalent to "not p or not q."

Question 52

Sets A, B, C, and U are related as shown in the diagram below.

What statement can be made regarding the relationship among the sets, assuming none of the regions is empty?

a) No element is a member of all three sets A, B, and C.
b) Any element that is a member of set C is also a member of set A.
c) No element which is a member of set A is also a member of set C.
d) All elements which are members of set B are also in set C.

Question 53

Given that:
    i. No people who make assignments are friendly..
   ii. All instructors make assignments.
Determine which conclusion can be logically deduced.

a) None of these answers.
b) Some instructors are friendly.
c) All instructors are friendly.
d) No instructor is friendly.

Question 54

Select the conclusion which will make the following argument valid.

If you work hard, then you will get a good job.
If you get a good job, then you will be happy.

a) If you are happy, then you worked hard.
b) If you work hard, then you will be happy.
c) If you are not happy, then you did not get a good job.
d) If you do not work hard, then you will not be happy.

Question 55

a) Every borough of New York City is in New York State.
        The Bronx is a borough of New York City.
        Therefore, the Bronx is in New York State.
b) All fleas have six legs and insects have six legs.
        Therefore, all fleas are insects.
c) All birds have feathers and all penguins are birds.
        Therefore, all penguins have feathers.
d) All birds have legs and all penguins are birds.
        Therefore, all penguins have legs.

Question 56

Study the information given below. If a logical conclusion is given, select that conclusion.

All pilots are navigators. All navigators read maps.
Chris is reading a map. Therefore: