CLAST Math
On-Line Practice Quiz

CLAST Math Practice Quiz

Multiple Choice [One Answer Only]

Question 1

a) - 1/6
b) 6
c) -6
d) 1/6

Question 2

a) (5 x 5 x 5 x 5) (9 x 9 x 9)
b) (5 + 5 + 5 + 5) (9 + 9 + 9)
c) (5 x 9)¹²
d) (5 x 4) (9 x 3)

Question 3

a) 1/10
b) 1/10⁰
c) 1/10²
d) 1/10⁴

Question 4

a) $8600
b) $4200
c) $2100
d) $215

Question 5

a) 16.719
b) -16.719
c) -19.721
d) -20.081

Question 6

a) 0.050
b) 0.50
c) 0.50%
d) 5.0%

Question 7

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

Question 8

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

(8, 2)
(0.8, 0.2)
(-20, -5)
(1/9, 1/36)
(28, 7)
(1/4, ___)

a) 2
b) 16
c) 1/2
d) 1/16

Question 9

a) 20%
b) 80%
c) 10%
d) 2%

Question 10

Find of 10.

a) 0.105
b) 1.05
c) 10.5
d) 0.10

Question 11

a) 39.9 gal
b) 79.8 gal
c) 21.2 gal
d) 8.0 gal

Question 12

a) $28.00
b) $33.60
c) $1.68
d) $5.60

Question 13

a) 4
b) 5
c) 2
d) 3

Question 14

a) 11² - 1
b) + 10
c) 10
d) 11 - 1

Question 15

a)

b)

c)

d)

Question 16

a) 2.00 x 10³
b) 2.00 x 10^-7
c) 2.00 x 10^-3
d) 2.00 x 10⁷

Question 17

a) 2/3 t² + 13t
b) 6t² + 21t
c) 2/3 t² + 21t
d) 6t² + 13t

Question 18

a) (a + b) (a - b) = (a - b) (a + b)
b) 6xy (2x + y) = 6xy (2y + x)
c) (2a) b = 2 (ab)
d) 6 (a) + 6 (b) = 6 (a + b)

Question 19

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

Question 20

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

Question 21

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

Question 22

a) $3200
b) $800
c) $320
d) $1600

Question 23

a) 10
b) 28
c) 21
d) 16

Question 24

a) x - 3
b) 5x + 3
c) x + 3
d) 5x - 4

Question 25

a)

b)

c)

d)

Question 26

a) {(x, y) | y = 3x + 5}
b) The empty set
c) (-1, 2)
d) (1, 2)

Question 27

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

a) x > -1, y < -1, and y < x
b) x > -1 and y < -1
c) y = -x
d) y > x - 1

Question 28

Two machines can complete 5 tasks every 3 days. Let t represent the number of tasks these machines can complete in a 31-day month. Select the correct statement of the given condition.

a) t/3 = 31/10
b) t/5 = 3/31
c) 5/3 = t/31
d) 3/5 = t/31

Question 29

a) $3.75
b) $1.60
c) $2.40
d) $2.95

Question 30

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

a) x + (3x - 5) = 6
b) x - 3x + 5 = 6
c) x - (3x + 5) = 6
d) x - (5x + 3) = 6

Question 31

a) 1468 sq. in.
b) 1468 in.
c) 3808 sq. in.
d) 1368 sq. in.

Question 32

What type of measure is needed to express the line segment of the solid rectangle shown below?

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

Question 33

a) $5292.00
b) $588.00
c) $1764.00
d) $882.00

Question 34

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

a) 1980
b) 2340
c) 2160
d) 2520

Question 35

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

a) A = LW + L²
b) A = 1/4L² + LW
c) A = 1/8L² + LW
d) A = LW +W²

Question 36

Identify the angle below.

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

Question 37

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

a) mV = mR
b) None of the statements is true.
c) Since mT = 70º
                    mS = 115º
d) Since mT = 70º
                   mQ = 70º

Question 38

Which statement is true for the pictured triangles?

a) mx = 40º
b) mz mw
c) AC = 5.8
d) CE/CA = CB/CD

Question 39

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 40

The graph below represents the yearly rainfall in inches in Sagamore County for 1985-1990. Find the rainfall for 1987.

a) 37 inches
b) 43 inches
c) 20 inches
d) 29 inches

Question 41

The graph below depicts the size (square feet) and sales price ($) for homes sold in Connecticut (o) and homes sold in Florida (x) 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 homes; a stronger relationship exists for homes in Florida than for homes in Connecticut.
b) A relationship between price and size exists ONLY for homes in Connecticut.
c) A relationship between price and size exists ONLY for homes in Florida.
d) Larger homes tend to cost more than smaller homes; a stronger relationship exists for homes in Connecticut than for homes in Florida.

Question 42

The number of patients treated at Dr. Jason's dentist office each day was recorded for 10 days. Using the given data, find the mean, the median, and the mode for this sample.

1, 28, 23, 19, 17, 19, 13, 19, 4, 14

a) 15, 7, 18, 19
b) 15.7, 19, 18
c) 19, 18, 15.7
d) 14.5, 19, 18

Question 43

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

Question 44

a) 32
b) 126
c) 6
d) 18

Question 45

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	4
15, 000 -	19, 999	24
20, 000 -	24, 999	40
25, 000 -	34, 999	11
35, 000 -	49, 999	9
50, 000 -	79, 999	5
80, 000 -	119, 000	3
120, 000 and over		1

Identify the amount below which 31 percent of the families in Tampa have lower incomes.

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

Question 46

a) 88%
b) 78%
c) 68%
d) 56%

Question 47

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

Cause	Percent of all Fires
Cooking	32
Smoking	16
Appliances	18
Heating system	9
Electrical system	8
Other	17

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 cooking.

a) 32/83
b) 9/50
c) 18/83
d) 8/25

Question 48

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

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

Question 49

a) If Michael is not a teacher, Ralph is not a teacher.
b) Michael is not a teacher or Ralph is not a teacher.
c) Ralph is not a teacher and Michael is not a teacher.
d) If Ralph is not a teacher, Michael is not a teacher.

Question 50

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 51

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 which is a member of set C is also a member of set A.
b) All elements which are members of set A are also members of set B.
c) Any element which is a member of set A and set B cannot be in set C.
d) Any element which is a member of set U is also a member of set C.

Question 52

Given that:
    i. No people who make assignments are friendly.
   ii. All instructors makes 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 53

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 work hard, then you will be happy.
b) If you are happy, then you worked hard.
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 54

a) All birds have feathers and all penguins are birds.
         Therefore, all penguins have feathers.
b) All fleas have six legs and insects have six legs.
         Therefore, all fleas are insects.
c) 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.
d) All birds have legs and all penguins are birds.
         Therefore, all penguins have legs.

Question 55

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

All beachcombers are swimmers. All swimmers wear swimsuits.
Sally is wearing a swimsuit. Therefore:

a) Sally cannot swim
b) Sally is a beachcomber
c) Sally can swim
d) None of these answer