CLAST Math
On-Line Practice Quiz

CLAST Math Practice Quiz

Arithmetic Subtest

Question 1

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

Question 2

a) (9 x 9 x 9)(6 x 6 x 6 x 6 x 6)
b) (9 x 6)¹⁵
c) (9 +9 + 9) ( 6 + 6 + 6 + 6 + 6)
d) ( 9 x 3) ( 6 x 5)

Question 3

a) 1/10⁰
b) 1/10⁶
c) 1/10³
d) 1/10⁴

Question 4

a) $4750
b) $9500
c) $195
d) $19,500

Question 5

a) 11.408
b) -11.408
c) -13.452
d) -13.065

Question 6

a) -11.6
b) -0.116
c) 11.6
d) 0.116

Question 7

a) 0.035
b) 3.5%
c) 0.35%
d) 0.35

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.

(4, 1)
(1.2, 0.3)
(-20, -5)
(1/8, 1/32)
(28, 7)
(1/5, ___)

a) 20
b) 1/20
c) 5/2
d) 2/5

Question 10

a) 60%
b) 26%
c) 4%
d) 40%

Question 11

a) 0.02
b) 4.05
c) 0.405
d) 40.5

Question 12

a) 6.3 gal
b) 29.4 gal
c) 62.6 gal
d) 31.3 gal

Question 13

a) $4.00
b) $20.00
c) $2.28
d) $24.00

Question 14

a) 1
b) 0
c) 2
d) 3


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

Algebra Subtest:

Question 15

a) 4 + 6
b) 9 - 3
c) 9² - 3
d) 6

Question 16

a)

b)

c)

d)

Question 17

a) 3.00 x 10^-1
b) 3.00 x 10⁹
c) 3.00 x 10^-9
d) 3.00 x 10¹

Question 18

a) 9t² + 21t
b) t² + 21t
c) t² + 5t
d) 9t² + 5t

Question 19

a) (a - b) (a + b) = (a + b) (a - b)
b) (3a)b = 3(ab)
c) 2(a) + 2(b) = 2(a + b)
d) 2xy(3x + y) = 2xy(3y + x)

Question 20

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

Question 21

a) b < -22
b) b = -22
c) b > 22
d) b > -22

Question 22

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

Question 23

a) $330
b) $3300
c) $132
d) $660

Question 24

a) -8
b) -29
c) -23
d) -35

Question 25

a) 3x + 1
b) 3x - 2
c) x + 5
d) x - 5

Question 26

a)
b)
c)
d)

Question 27

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

Question 28

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

a) y < x + 3
b) x > 3, y < 3, and y < x
c) x > 3 and y < 3
d) y = -x

Question 29

Two machines can complete 8 tasks every 3 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/8 = 1/10
b) t/3 = 15/8
c) 3/8 = t/30
d) 8/3 = t/30

Question 30

a) $11.70
b) $12.90
c) $13.55
d) $12.35

Question 31

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

a) x + (5x - 6) = 4
b) x - (5x + 6) = 4
c) x - 5x + 6 = 4
d) x - (6x + 5) = 4

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

Geometry Subtest

Question 32

a) 772 sq. in.
b) 1632 sq. in.
c) 872 sq. in.
d) 872 in.

Question 33

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

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

Question 34

a) $6912.00
b) $768.00
c) $1152.00
d) $2304.00

Question 35

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

a) 1260
b) 1620
c) 1800
d) 1440

Question 36

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

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

Question 37

Identify the angle below.

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

Question 38

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

a) Since mT = 75º
                 mQ = 65º
b) Since mT = 75º
                 mS = 115º
c) None of the statements is true.
d) mV = mR

Question 39

Which statement is true for the pictured triangles?

a) AC = 5.7
b) mz mw
c) mx = 25º
d) CE/CA = CB/CD


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

Statistic and Probability Subtest

Question 40

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

Question 41

The graph below represents the yearly rainfall in inches in Sagamore County for 1983-1988. Find the rainfall for 1987.

a) 40 inches
b) 21 inches
c) 15 inches
d) 32 inches

Question 42

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

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

Question 43

The number of patients treated at Dr. Jason's dentist office each day was recorded for 8 days. Using the given data, find the mean, the median, and the mode for this sample.

2, 26, 28, 28, 28, 27, 7, 28

a) 21.75, 28, 27.5
b) 28, 27.5, 21.75
c) 21.75, 27.5, 28
d) 15, 28, 27.5

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

Question 45

a) 9
b) 3
c) 21
d) 63

Question 46

The table below shows the distribution of families by income in Chicago, Illinois.

Income Level		Percent of Families
$ 0 -	9, 999	3
10, 000 -	14, 999	9
15, 000 -	19, 999	22
20, 000 -	24, 999	40
25, 000 -	34, 999	11
35, 000 -	49, 999	7
50, 000 -	79, 999	4
80, 000 -	119, 000	3
120, 000 and over		1

Identify the amount below which 74 percent of the families in Chicago have lower incomes.

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

Question 47

a) 54%
b) 92%
c) 67%
d) 77%

Question 48

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

Cause	Percent of all Fires
Cooking	30
Smoking	16
Appliances	18
Heating system	8
Electrical system	10
Other	18

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) 3/10
b) 15/41
c) 9/50
d) 9/41


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 Rita receives the nomination for student cabinet, she will accept it" is:

a) Rita receives the nomination for student cabinet and she accepts it.
b) Rita receives the nomination for student cabinet and she does not accept it.
c) If Rita does not receive the nomination, she will not accept it.
d) If Rita receives the nomination for student cabinet, she will not accept it.

Question 50

a) If Micheal is not a student, James is not a student.
b) James is not a student and Michael is not a student.
c) If James is not a student, Michael is not a student.
d) Michael is not a student or James 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 even, then x is even.
ii. If x is not even, then x² is not even.

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

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) If an element is a member of set C, it may also be in set A or set B.
b) Any element that is a member of set A is also a member of set U.
c) If an element is a member of set B, it is also a member of set A.
d) If an element is a member of set A, it cannot be a member of set B.

Question 53

Given that:
    i. No people who assign work are lovable.
   ii. All supervisors assign work.
Determine which conclusion can be logically deduced.

a) No supervisor is lovable.
b) None of these answers.
c) Some supervisors are lovable.
d) All supervisors are lovable.

Question 54

Select the conclusion which will make the following argument valid.

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

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

Question 55

a) All cats are beautiful and all Siamese are cats.
        Therefore, all Siamese are beautiful.
b) All boys are noisy and children are noisy.
        Therefore, all boys are children.
c) Every dog is an animal.
        The beagle is a dog.
        Therefore, the beagle is an animal.
d) All cats have a tail and all Siamese are cats.
        Therefore, all Siamese have a tail.

Question 56

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

All parents are good cooks.All good cooks read cookbooks.
Pat is reading a cookbook. Therefore: