# CLAST Math On-Line Practice Quiz

### (Form 1)

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## Question 1

Find: (- 11/18) ÷ (- 1/6)

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

## Question 2

Find: (93)(65)

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

What is the place value associated with the underlined digit?
6.2546 (base ten)

a) 1/100
b) 1/106
c) 1/103
d) 1/104

## Question 4

Fifty individuals work for a company. The lowest paid person earns \$110 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) \$4750
b) \$9500
c) \$195
d) \$19,500

## Question 5

Subtract:  -12.43 - 1.022 =

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

## Question 6

Multiply: -0.04 x (-2.9) =

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

## Question 7

Find an equivalent form of

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

## 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.

(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

If 65 is decreased to 39, what is the percent decrease?

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

Find of 10.

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

## Question 12

With Matt's new car, he is using only 68% as much gasoline per month as with his old car. He was using 92 gallons of gasoline per month with his old car. How much gasoline per month does Matt save with his new car?

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

## Question 13

A 6-ounce can of apple juice concentrate costs \$0.60, and a 24-ounce can costs \$2.88. How much money can be saved by buying 200 ounces of the more economical size?

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

## Question 14

How many whole numbers leave a remainder of 5 when divided into 29 and a remainder of 5 when divided into 13?

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

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

## Question 15

Simplify: 7 + 2 - 3 =

a) 4 + 6
b) 9 - 3
c) 92 - 3
d) 6

Divide:   =

a)

b)

c)

d)

## Question 17

Find:  0.000723 ÷ 241,000

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

## Question 18

Find:  8t - t X 3 + 15t2 ÷ 5 X 3

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

## Question 19

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

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

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

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

## Question 21

Solve for b:  14b - 5 < 15b + 17

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

## Question 22

For each of the statements below, determine whether -1 is a solution.
(i)   | x - 1 | = 0
(ii)  (t - 3)(t - 6) < 6
(iii) y2 + 3y + 16 = 14

a) ii and iii only
b) iii only
c) ii only
d) i 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 \$6,000 (P) at a 11% simple interest rate (R) for 5 years (T)?

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

## Question 24

Find f(-2) given f(x) = -x2 + 2x - 27.

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

## Question 25

Which is a linear factor of 3x2 - 14x + 8 ?

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

## Question 26

Find the real roots of the equation:  2x2 - 1 = 6x

a)
b)
c)
d)

## Question 27

Solve the system:
x - y = -1
2x - 2y = -8

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

The cost of a long-distance phone call from New York to Paris is defined by C(t) = 0.65(t - 1) + 1.20, where the cost is \$1.20 for the first minute and \$0.65 for each additional minute. Find the cost of a 19-minute phone call.

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:

## Question 32

Find the surface area of a rectangular solid that is 17 inches long, 12 inches wide, and 8 inches high.

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

Find the cost of carpeting an office that measures 18 feet by 24 feet if the carpet costs \$16.00 per square yard.

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

## 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 ten-sided polygon.
 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:

## 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) 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 panel of judges is to consist of 2 women and 5 men. A list of potential judges has 3 women and 7 men on it. How many different panels could be created from this list?

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

The probability of getting an A in Mr. Allen's class in any semester is 23%. What is the probability of NOT getting an A?

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:

## 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

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

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.
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

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 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:

a) Pat cannot cook
b) Pat is a parent
c) Pat can cook

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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