CLAST Math On-Line Practice Quiz

(Form 1)

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Question 01

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:

b) Sally can sail
c) Sally is a sailor
d) Sally cannot sail

Question 02

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 03

Find: (- 11/30) ÷ (- 1/2)

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

Question 04

Find the surface area of a rectangular solid that is 18 inches long, 11 inches wide, and 6 inches high.

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

Question 05

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 06

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 07

Find: (92)(74)

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 08

Simplify:  6 + 10 - 4 =

a) 12
b) 2 + 12
c) 16 - 4
d) 162 - 4

Question 09

What is the place value associated with the underlined digit?
9.8492 (base ten)

a) 1/102
b) 1/104
c) 1/10
d) 1/100

Question 10

All of the following arguments A-D have true conclusions, but one of the arguments is not valid. Select the argument that is not valid.

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 11

The cost of a long-distance phone call from New York to Rome is defined by C(t) = 0.60(t - 1) + 1.20, where the cost is \$1.20 for the first minute and \$0.60 for each additional minute. Find the cost of a 24-minute phone call.

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

Question 12

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 13

Sixty individuals work for a company. The lowest paid person earns \$150 per week and the highest paid person earns \$260 per week. Which of the following values could be a reasonable estimate of the total weekly payroll for the company?

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

Question 14

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 15

Subtract:  -13.65 - 10.223 =

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

Question 16

Find:  0.00756 ÷ 189,000

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

Question 17

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 18

Find an equivalent form of 4/5.

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

Question 19

Choose the inequality equivalent to -5 < -5x - 10 < 5.

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

Question 20

For each of the figures below, S represents the sum of the measures of the interior angles. Study the given information, then find S for an eight-sided polygon.
 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 21

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

Question22

Insert =, <, or > to make a true statement:

a) >
b) =
d) <

Question 23

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.

Question 24

Which is a linear factor of 2x2 - 9x - 5?

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

Question 25

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 26

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)
(1/3, 1/9)
(18, 6)
(1/5, ___)

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

Question 27

A college president wants to find out which courses are popular with students. The president decides to conduct a survey of a sample of students. What procedure would be most appropriate for obtaining a statistically unbiased sample of the college's students?

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 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

If 80 is decreased to 32, what is the percent decrease?

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

Question 30

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 31

Find the real roots of the equation:  2x2 + 1 = 5x

a)
b)
c)
d)

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

Find of 90.

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

Question 34

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 35

The statement logically equivalent to "It is not true that both Frank and James are rich" is:

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.

Divide:   =

a)

b)

c)

d)

Question 37

With Tony's new car, he is using only 77% as much gasoline per month as with his old car. He was using 75 gallons of gasoline per month with his old car. How much gasoline per month does Tony save with his new car?

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

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

Find:  7t - 5t X 2 + 18t2 ÷ 6 X 4

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

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

Solve the system:
2x + y = -4
-4x - 2y = -4

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

Question 42

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 43

Identify the angle below.

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

Question 44

How many whole numbers leave a remainder of 1 when divided into 41 and a remainder of 3 when divided into 23?

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

Question 45

Choose the statement that is not true for all real numbers.

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 46

The probability of getting an A in Mrs. Ritchie's class in any semester is 21%. What is the probability of NOT getting an A?

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

Question 47

Solve for b:  18b - 7 < 19b + 6

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

Question 48

Find the cost of carpeting an office that measures 12 feet by 21 feet if the carpet costs \$14.50 per square yard.

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

Question 49

For each of the statements below, determine whether 2 is a solution.
(i)   |x + 2| = 0
(ii)  (t - 8)(t - 3) < 2
(iii) y2 + 3y + 3 = 13

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

Question 50

A panel of judges is to consist of 2 women and 3 men. A list of potential judges has 4 women and 6 men on it. How many different panels could be created from this list?

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

Question 51

The formula for finding the simple interest (I) on a loan is I = PRT. How much interest will Bill pay on his car loan if he finances \$20,000 (P) at a 14% simple interest rate (R) for 6 years (T)?

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

Question 52

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 53

Find f(-1) given f(x) = 2x2 + 2x + 8.

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

Question 54

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 55

A 10-ounce can of apple juice concentrate costs \$0.80, and a 20-ounce can costs \$2.00. How much money can be saved by buying 260 ounces of the more economical size?

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

Question 56

If 3x + 1 = 2(3x - 1), then

a) x = 1/3
b) x = 2/3
c) x = 1
d) x = 3/2

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