CLAST Math
On-Line Practice Quiz

CLAST Math Practice Quiz

Question 1

a) -1 4/11
b) - 11/15
c) 1 4/11
d) 11/15

Question 2

a) (9 + 9)(7 + 7 + 7 + 7)
b) (9 x 2)(7 x 4)
c) (9 x 9)(7 x 7 x 7 x 7)
d) ( 9 x 7)⁸

Question 3

a) 1/10²
b) 1/10⁴
c) 1/10
d) 1/10⁰

Question 4

a) $205
b) $6000
c) $12,000
d) $24,600

Question 5

a) -3.427
b) -23.288
c) 3.427
d) -23.873

Question 6

a) 0.80
b) 8.0%
c) 0.80%
d) 0.080

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.

(9, 3)
(0.6, 0.2)
(-6, -2)
(1/5, 1/15)
(18, 6)
(1/5, ___)

a) 2/5
b) 1/15
c) 5/2
d) 15

Question 9

a) 40%
b) 48%
c) 6%
d) 60%

Question 10

a) 36.45
b) 3.645
c) 364.5
d) 0.22

Question 11

a) 17.3 gal
b) 5.8 gal
c) 28.9 gal
d) 57.8 gal

Question 12

a) $20.80
b) $26.00
c) $1.20
d) $5.20

Question 13

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

Question 14

a) 12
b) 2 + 12
c) 16 - 4
d) 16² - 4

Question 15

a)

b)

c)

d)

Question 16

a) 4.00 x 10^-2
b) 4.00 x 10⁸
c) 4.00 x 10^-8
d) 4.00 x 10²

Question 17

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

Question 18

a) (x - y)(x + y) = (x + y) (x - y)
b) 5xy(3x + y) = 5xy(3y + x)
c) (3a)b = 3(ab)
d) 5(a) + 5(b) = 5(a + b)

Question 19

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

Question 20

a) b < -13
b) b > -13
c) b > 13
d) b = -13

Question 21

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

Question 22

a) $2800
b) $16,800
c) $1680
d) $467

Question 23

a) 12
b) 8
c) 0
d) 4

Question 24

a) 2x + 1
b) 2x - 2
c) x - 6
d) x + 6

Question 25

a)
b)
c)
d)

Question 26

a) (-1, -2)
b) {(x, y)| y = -2x - 4}
c) (1, -2)
d) The empty set

Question 27

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

a) y = -x
b) x > -7 and y < -7
c) x > -7, y < -7, and y < x
d) y > x -7

Question 28

Two machines can complete 10 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/10 = 1/10
b) 3/10 = t/30
c) t/3 = 3/2
d) 10/3 = t/30

Question 29

a) $13.80
b) $14.40
c) $15.00
d) $15.60

Question 30

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

a) x + (6x - 8) = 5
b) x - (8x + 6) = 5
c) x - (6x +8) = 5
d) x - 6x + 8 = 5

Question 31

a) 744 in.
b) 644 sq. in.
c) 1188 sq. in.
d) 744 sq. in.

Question 32

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

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

Question 33

a) $406.00
b) $3654.00
c) $1218.00
d) $609.00

Question 34

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

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

Question 35

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

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

Question 36

Identify the angle below.

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

Question 37

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

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

Question 38

Which statement is true for the pictured triangles?

a) CE/CA = CB/CD
b) AC = 5.1
c) mx = 30º
d) mz mw

Question 39

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

Question 40

The graph below represents the yearly rainfall in inches in Sagamore County for 1985-1990. Find the rainfall for 1988.

a) 24 inches
b) 18 inches
c) 43 inches
d) 29 inches

Question 41

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

Question 42

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, 9, 14, 20, 20, 12, 20, 9

a) 20, 13, 13.25
b) 11, 20, 13
c) 13.25, 20, 13
d) 13.25, 13, 20

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

Question 44

a) 20
b) 30
c) 6
d) 120

Question 45

The table below shows the distribution of families by income in Portland, Oregon.

Income Level		Percent of Families
$ 0 -	9, 999	3
10, 000 -	14, 999	5
15, 000 -	19, 999	22
20, 000 -	24, 999	42
25, 000 -	34, 999	11
35, 000 -	49, 999	8
50, 000 -	79, 999	5
80, 000 -	119, 000	3
120, 000 and over		1

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

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

Question 46

a) 84%
b) 58%
c) 79%
d) 69%

Question 47

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

Cause	Percent of all Fires
Cooking	31
Smoking	18
Appliances	15
Heating system	10
Electrical system	6
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) 3/20
b) 31/84
c) 31/100
d) 5/28

Question 48

The negation of the statement "If Kari receives the nomination for student cabinet, she will accept it" is:

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

Question 49

a) If Frank is not rich, James is not rich.
b) James is not rich and Frank is not rich.
c) If James is not rich, Frank is not rich.
d) Frank is not rich or James is not rich.

Question 50

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

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

Question 52

Given that:
    i. No people who teach classes are dumb.
   ii. All teachers teach classes.
Determine which conclusion can be logically deduced.

a) No teacher is dumb.
b) All teachers are dumb.
c) Some teachers are dumb.
d) None of these answers

Question 53

Select the conclusion which will make the following argument valid.

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

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

Question 54

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

Question 55

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

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

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