CLAST Math
On-Line Practice Quiz

CLAST Math Practice Quiz

Arithmetic Subtest

Question 1

a) -16/29
b) 16/29
c) -1 13/16
d) 1 13/16

Question 2

a) (4 x 4) (5 x 2)
b) (4 x 4 x 4 x 4) (5 x 5)
c) (4 + 4 + 4 + 4) (5 + 5)
d) (4 x 5)⁸

Question 3

a) 1/10³
b) 1/10⁶
c) 1/10⁴
d) 1/10⁰

Question 4

a) $16,400
b) $205
c) $4000
d) $8000

Question 5

a) 4.205
b) -13.005
c) -12.645
d) -4.205

Question 6

a) 6.0
b) -6.0
c) 0.060
d) -0.060

Question 7

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

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.

(8, 2)
(0.4, 0.1)
(-16, -4)
(1/8, 1/32)
(28, 7)
(1/4, ___)

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

Question 10

a) 60%
b) 34%
c) 40%
d) 4%

Question 11

a) 5.635
b) 56.35
c) 563.5
d) 0.09

Question 12

a) 52.4 gal
b) 26.2 gal
c) 23.6 gal
d) 5.2 gal

Question 13

a) $3.00
b) $4.40
c) $26.40
d) $22.00

Question 14

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


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

Alegrbra Subtest:

Question 15

a) 19
b) 6 + 19
c) 26² - 7
d) 26 - 7

Question 16

a)

b)

c)

d)

Question 17

a) 4.00 x 10⁹
b) 4.00 x 10^-3
c) 4.00 x 10³
d) 4.00 x 10^-9

Question 18

a) 4/3t² + 32t
b) 4/3t² + 11t
c) 12t² + 11t
d) 12t² + 32t

Question 19

a) (x - y) (x + y) = (x + y) (x - y)
b) 3(a) + 3(b) = 3(a + b)
c) 3xy(7x + y) = 3xy(7y + x)
d) (7a)b = 7(ab)

Question 20

a) -4 < x < -2
b) x < -2
c) x > 4
d) -2 < x < 4

Question 21

a) b > 12
b) b > -12
c) b = -12
d) b < -12

Question 22

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

Question 23

a) $140
b) $700
c) $3500
d) $350

Question 24

a) -3
b) -5
c) -1
d) 0

Question 25

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

Question 26

a)
b)
c)
d)

Question 27

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

Question 28

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

a) y = -x
b) y < x + 2
c) x > 2, y < 2, and y < x
d) x > 2 and y < 2

Question 29

Two machines can complete 9 tasks every 4 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/4 = 5/3
b) t/9 = 2/15
c) 4/9 = t/30
d) 9/4 = t/30

Question 30

a) $13.60
b) $15.00
c) $12.80
d) $14.20

Question 31

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

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

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

Geometry Subtest

Question 32

a) 4199 sq. in.
b) 4182 sq. in.
c) 1582 sq. in.
d) 1582 in.

Question 33

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

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

Question 34

a) $1188.00
b) $396.00
c) $594.00
d) $3564.00

Question 35

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

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

Question 36

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 = LW + W²
d) A = 1/2L² + LW

Question 37

Identify the angle below.

a) right
b) obtuse
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 = 50º
                 mQ = 85º
b) mV = mR
c) Since mT = 50º
                 mS = 115º
d) None of the statements is true.

Question 39

Which statement is true for the pictured triangles?

a) mx = 25º
b) AC = 8.3
c) mz mw
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) Survey a random sample of students from the English department.
b) Have students voluntarily mail in their preferences.
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 1982-1987. Find the rainfall for 1983.

a) 24 inches
b) 41 inches
c) 17 inches
d) 28 inches

Question 42

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

Question 43

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, 20, 5, 15, 20, 20, 17, 20, 20, 16

a) 15.4, 18.5, 20
b) 15.4, 20, 18.5
c) 10.5, 20, 18.5
d) 20, 18.5, 15.4

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

Question 45

a) 560
b) 10
c) 112
d) 70

Question 46

The table below shows the distribution of families by income in Racine, Wisconsin.

Income Level		Percent of Families
$ 0 -	9, 999	3
10, 000 -	14, 999	4
15, 000 -	19, 999	21
20, 000 -	24, 999	43
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 28 percent of the families in Racine have lower incomes.

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

Question 47

a) 76%
b) 52%
c) 66%
d) 96%

Question 48

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

Cause	Percent of all Fires
Cooking	30
Smoking	17
Appliances	18
Heating system	7
Electrical system	6
Other	22

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) 6/29
c) 9/50
d) 10/29


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 Janet receives an invitation, she will accept it" is:

a) Janet receives an invitation and she does not accept it.
b) If Janet does not receive an invitation, she will not accept it.
c) If Janet receives an invitation, she will not accept it.
d) Janet receives an invitation and she accepts it.

Question 50

a) George is not rich or Andrew is not rich.
b) If George is not rich, Andrew is not rich.
c) If Andrew is not rich, George is not rich.
d) Andrew is not rich and George is not rich.

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) "Not (p and q)" is equivalent to "not p or not q."
b) The correct equivalence rule is not given.
c) "If p, then q" is equivalent to "if not q, then not p."
d) "If p, then q" is equivalent to "(not p) or 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) Any element which is a member of set A and set B cannot be in set C.
b) No element which is a member of set C is also a member of set A.
c) All elements which are members of set A are also members of set B.
d) Any element which is a member of set U is also a member of set C.

Question 53

Given that:
    i. No people who run for office are reliable.
   ii. All politicians run for office.
Determine which conclusion can be logically deduced.

a) All politicians are reliable.
b) Some politicians are reliable.
c) No politicians is reliable.
d) None of these answers

Question 54

Select the conclusion which will make the following argument valid.

If you graduate, then you will find a position.
If you find a position, then you will be well paid.

a) If you are well paid, then you graduated.
b) If you are not well paid, then you did not find a position.
c) If you do not graduate, then you will not be well paid.
d) If you graduate, then you will be well paid.

Question 55

a) All dogs have legs and all poodles are dogs.
        Therefore, all poodles have legs
b) Every cat is an animal.
        The tiger is a cat.
        Therefore, the tiger is an animal.
c) All dogs bark and all poodles are dogs.
        Therefore, all poodles bark.
d) All cats have two eyes and animals have two eyes.
        Therefore, all cats are animals.

Question 56

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

All sailors are swimmers. All swimmers wear life jackets.
Chris is wearing a life jacket. Therefore:

a) Chris cannot sail
b) Chris is a sailor
c) Chris can sail
d) None of these answers


Subtest Score will appear when you check the test below:
Logic Subtest Total: