# CLAST Math On-Line Practice Quiz

### (Form 2)

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## Question 1

Find: (- 1/3) ÷ (- 1/11)

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

## Question 2

Find: (33)(92)

a) (3 x 9)6
b) (3 x 3 x 3) (9 x 9)
c) (3 +3 + 3) ( 9 + 9))
d) ( 3 x 3) ( 9 x 2)

## Question 3

What is the place value associated with the underlined digit?
2.7842 (base ten)

a) 1/102
b) 1/10
c) 1/108
d) 1/100

## Question 4

Twenty individuals work for a company. The lowest paid person earns \$170 per week and the highest paid person earns \$280 per week. Which of the following values could be a reasonable estimate of the total weekly payroll for the company?

a) \$225
b) \$4400
c) \$9000
d) \$2200

## Question 5

Subtract:  -17.83 - 10.283 =

a) 7.547
b) -28.113
c) -7.547
d) -27.366

## Question 6

Multiply: -0.08 x ( -2.2 ) =

a) 0.176
b) 17.6
c) -0.176
d) -17.6

## Question 7

Find an equivalent form of

a) 0.20
b) 0.20%
c) 0.020
d) 2.0%

## Question 8

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

a) <
b) =
c) >

## Question 9

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

(2, 1)
(0.4, 0.2)
(-4, -2)
(1/9, 1/18)
(14, 7)
(1/3, ___)

a) 3/2
b) 1/6
c) 2/3
d) 6

## Question 10

If 20 is decreased to 8, what is the percent decrease?

a) 40%
b) 60%
c) 12%
d) 6%

Find of 90.

a) 0.44
b) 18.45
c) 184.5
d) 1.845

## Question 12

With Matt's new car, he is using only 79% as much gasoline per month as with his old car. He was using 135 gallons of gasoline per month with his old car. How much gasoline per month does Matt save with his new car?

a) 53.3 gal
b) 10.7 gal
c) 28.4 gal
d) 106.7 gal

## Question 13

A 10-ounce can of grape juice concentrate costs \$0.80, and a 24-ounce can costs \$3.60. How much money can be saved by buying 200 ounces of the more economical size?

a) \$2.80
b) \$14.00
c) \$30.00
d) \$16.00

## Question 14

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

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

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

## Question 15

Simplify: 3 + 14 - 2 =

a)15
b) 17 - 2
c) + 15
d) 172 - 2

Divide:   =

a)

b)

c)

d)

## Question 17

Find:  0.0000736 ÷ 1,840,000

a) 4.00 x 10-11
b) 4.00 x 10-1
c) 4.00 x 1011
d) 4.00 x 101

## Question 18

Find:  5t + 5t X 3 + 10t2 ÷ 5 X 5

a) 10t2 + 30t
b) 2/5t2 + 30t
c) 2/5t2 + 20t
d) 10t2 + 20t

## Question 19

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

a) (a + b) (a - b) = (a - b) (a + b)
b) 6(a) + 6(b) = 6(a + b)
c) 6xy(3x + y) = 6xy(3y + x)
d) (3a)b = 3(ab)

## Question 20

Choose the inequality equivalent to -6 < -6x - 12 < 6.

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

## Question 21

Solve for b:  18b - 9 < 19b + 5

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

## Question 22

For each of the statements below, determine whether 2 is a solution.
(i)   | x + 2 | = 0
(ii)  (t - 8)(t - 3) < 2
(iii) y2 + 4y - 1 = 11

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

## Question 23

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 \$15,000 (P) at a 14% simple interest rate (R) for 3 years (T)?

a) \$700
b) \$630
c) \$2100
d) \$6300

## Question 24

Find f(-3) given f(x) = 3x2 + x - 11.

a) -23
b) 25
c) 13
d) 24

## Question 25

Which is a linear factor of x2 - 7x + 12 ?

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

## Question 26

Find the real roots of the equation:  3x2 + 1 = 5x

a)
b)
c)
d)

## Question 27

Solve the system:
4x + y = -3
4x + y = -2

a) The empty set
b) (-1, 1)
c) (1, 1)
d) {(x, y) | y = -4x - 3}

## Question 28

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

a) x > 5, y < 5, and y < x
b) y = -x
c) y < x + 5
d) x > 5 and y < 5

## Question 29

Two machines can complete 6 tasks every 5 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/6 = 1/6
b) t/5 = 5/2
c) 6/5 = t/30
d) 5/6 = t/30

## Question 30

The cost of a long-distance phone call from New York to London is defined by C(t) = 0.55(t - 1) + 1.25, where the cost is \$1.25 for the first minute and \$0.55 for each additional minute. Find the cost of a 14-minute phone call.

a) \$7.15
b) \$8.95
c) \$7.70
d) \$8.40

## Question 31

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

a) x - (5x + 2) = 4
b) x - (2x + 5) = 4
c) x + (5x -2) = 4
d) x - 5x + 2 = 4

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

## Question 32

Find the surface area of a rectangular solid that is 15 inches long, 11 inches wide, and 4 inches high.

a) 538 sq. in.
b) 438 sq. in.
c) 660 sq. in.
d) 538 in.

## Question 33

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

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

## Question 34

Find the cost of carpeting an office that measures 15 feet by 21 feet if the carpet costs \$14.50 per square yard.

a) \$507.50
b) \$4567.50
c) \$1522.50
d) \$761.25

## Question 35

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 a eight-sided polygon.
 3 sides 4 sides 6 sides 1 triangle 2 triangle 4 triangles S = 180 S = 360 S = 720

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

## Question 36

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

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

## Question 37

Identify the angle below.

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

## Question 38

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

a) Since mT = 70º
mS = 110º
b) None of the statements is true.
c) mV = mR
d) Since mT = 70º
mQ = 60º

## Question 39

Which statement is true for the pictured triangles?

a) AC = 3.9
b) mx = 40º
c) CE/CA = CB/CD
d) mz mw

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

## Question 40

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 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 41

The graph below represents the yearly rainfall in inches in Sagamore County for 1982-1987. Find the rainfall for 1986.

a) 15 inches
b) 41 inches
c) 36 inches
d) 21 inches

## Question 42

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

## Question 43

The number of patients treated at Dr. Jason's dentist office each day was recorded for 9 days. Using the given data, find the mean, the median, and the mode for this sample.

3, 17, 1, 16, 1, 1, 14, 1, 27

a) 9, 3, 1
b) 1, 3, 9
c) 9, 1, 3
d) 14, 1, 3

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

## Question 45

A panel of judges is to consist of 4 women and 5 men. A list of potential judges has 5 women and 8 men on it. How many different panels could be created from this list?

a) 280
b) 56
c) 35
d) 5

## Question 46

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

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

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

## Question 47

The probability of getting an A in Mr. Sandford's class in any semester is 15%. What is the probability of NOT getting an A?

a) 75%
b) 60%
c) 85%
d) 70%

## Question 48

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

 Cause Percent of all Fires Cooking 34 Smoking 17 Appliances 16 Heating system 6 Electrical system 7 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) 34/87
b) 4/25
c) 17/50
d) 16/87

Subtest Score will appear when you check the test at the end:
Statistics/Probability Subtest Total:

## Question 49

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

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

## Question 50

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

a) If Frank is not a student, Daniel is not a student.
b) Daniel is not a student and Frank is not a student.
c) If Daniel is not a student, Frank is not a student.
d) Frank is not a student or Daniel 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 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 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) No element is a member of all three sets A, B, and C.
b) Any element that is a member of set C is also a member of set A.
c) No element which is a member of set A is also a member of set C.
d) All elements which are members of set B are also in set C.

## Question 53

Given that:
i. No people who make assignments are friendly..
ii. All instructors make assignments.
Determine which conclusion can be logically deduced.

b) Some instructors are friendly.
c) All instructors are friendly.
d) No instructor is friendly.

## Question 54

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 happy, then you worked hard.
b) If you work hard, then you will be happy.
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 55

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

## Question 56

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

All pilots are navigators. All navigators read maps.
Chris is reading a map. Therefore:

b) Chris is a pilot
c) Chris can navigate
d) Chris cannot navigate

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

CLAST Math Total:

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## Arithmetic Skills Prescriptions

If you make less than 70% on the Arithmetic subtest:

### Arithmetic Skills Interactive Practice Subtests:

CLAST Arithmetic Sample Subtest #1
CLAST Arithmetic Sample Subtest #2

Slide Presentation #1: CLAST Prep Arithmetic PowerPoint
Slide Presentation #2: CLAST Prep Arithmetic PowerPoint
VIDEO #1 CLAST Prep: Arithmetic (1 hour Streaming Video) (42k-100k for all Connections)

## Algebra Skills Prescriptions

If you make less than 70% on the Algebra subtest:

### Algebra Skills Subtests:

CLAST Algebra Sample Subtest #1
CLAST Algebra Sample Subtest #2

Slide Presentation #1: CLAST Prep Algebra PowerPoint
Slide Presentation #2: CLAST Prep Algebra PowerPoint
VIDEO #2 CLAST Prep: Algebra (1 Hour Streaming Video)(Same Professor Bello Intro)

## Geometry and Measurement Skills Prescriptions

If you make less than 70% on the Geometry and Measurement subtest:

### Geometry and Measurement Skills Subtests:

CLAST Geometry and Measurement Sample Subtest #1
CLAST Geometry and Measurement Sample Subtest #2

Slide Presentation #1: CLAST Prep Geometrya PowerPoint
Slide Presentation #2: CLAST Prep Geometry PowerPoint
VIDEO #3 CLAST Prep: Geometry(1 Hour Streaming Video)(Same Professor Bello Intro)

## Statistics and Probability Skills Prescriptions

If you make less than 70% on the Statistics and Probability subtest:

### Statistics and Probability Skills Subtests:

CLAST Statistics and Probability Sample Subtest #1
CLAST Statistics and Probability Sample Subtest #2

Slide Presentation #1: CLAST Prep Satistics/Probability PowerPoint
Slide Presentation #2: CLAST Prep Satistics/Probabilit PowerPoint
VIDEO #4 CLAST Prep: Statistics and Probability(1 Hour Streaming Video)(Same Professor Bello Intro)

## Logical Reasoning Skills Prescriptions

If you make less than 70% on the Logical Reasoning Skills subtest:

### Logical Reasoning Skills Subtests:

CLAST Logical Reasoning Sample Subtest #1
CLAST Logical Reasoning Sample Subtest #2

Slide Presentation #1: CLAST Prep Logical Reasoning PowerPoint
Slide Presentation #2: CLAST Prep Logical Reasoning PowerPoint
VIDEO #5 CLAST Prep: Logical Reasoning(1 Hour Streaming Video)(Same Professor Bello Intro)

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