# CLAST Math On-Line Practice Quiz

### (Form 3)

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## Question 1

Find: (- 29/32) ÷ (- 1/2)

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

## Question 2

Find: (44)(52)

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

What is the place value associated with the underlined digit?
1.3526 (base ten)

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

## Question 4

Forty 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) \$16,400
b) \$205
c) \$4000
d) \$8000

## Question 5

Subtract:  -4.40 - 8.605 =

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

## Question 6

Multiply: -0.02 x (-3.0) =

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

## Question 7

Find an equivalent form of a) 0.50%
b) 0.50
c) 0.050
d) 5.0%

## 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.

(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

If 85 is decreased to 51, what is the percent decrease?

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

## Question 11

Find of 70.

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

## Question 12

With James' new car, he is using only 69% as much gasoline per month as with his old car. He was using 76 gallons of gasoline per month with his old car. How much gasoline per month does James save with his new car?

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

## Question 13

A 6-ounce can of apple juice concentrate costs \$0.60, and a 30-ounce can costs \$3.60. How much money can be saved by buying 220 ounces of the more economical size?

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

## Question 14

How many whole numbers leave a remainder of 2 when divided into 34 and a remainder of 3 when divided into 19?

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

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

## Question 15

Simplify: 13 + 13 - 7 =

a) 19 b) 6 + 19
c) 26 2 - 7
d) 26 - 7

## Question 16

Divide: =

a) b) c) d) ## Question 17

Find:  0.00732 ÷ 1,830,000

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

## Question 18

Find:  7t + t X 4 + 20t2 ÷ 5 X 3

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

## Question 19

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

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

Choose the inequality equivalent to -7 < -7x - 21 < 7.

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

## Question 21

Solve for b:  12b - 9 < 13b + 3

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

## Question 22

For each of the statements below, determine whether 1 is a solution.
(i)   | x + 1 | = 0
(ii)  (t + 2)(t - 4) < 4
(iii) y2 + 4y + 13 = 18

a) i only
b) iii only
c) ii and iii only
d) ii 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 \$7,000 (P) at a 10% simple interest rate (R) for 5 years (T)?

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

## Question 24

Find f(-1) given f(x) = x2 + x - 3.

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

## Question 25

Which is a linear factor of 2x2 + 7x - 4 ?

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

## Question 26

Find the real roots of the equation:  3x2 + 1 = 7x

a) b) c) d) ## Question 27

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

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

The cost of a long-distance phone call from New York to London is defined by C(t) = 0.80(t - 1) + 1.40, where the cost is \$1.40 for the first minute and \$0.80 for each additional minute. Find the cost of a 17-minute phone call.

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:

## Question 32

Find the surface area of a rectangular solid that is 19 inches long, 17 inches wide, and 13 inches high.

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

Find the cost of carpeting an office that measures 12 feet by 18 feet if the carpet costs \$16.50 per square yard.

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

## 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 fourteen-sided polygon.   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 = 1/4 L2 + LW
c) A = LW + W2
d) A = 1/2 L2 + 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 m T = 50º
m Q = 85º
b) m V = m R
c) Since m T = 50º
m S = 115º
d) None of the statements is true.

## Question 39

Which statement is true for the pictured triangles? a) m x = 25º
b) AC = 8.3
c) m z m w
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) 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 panel of judges is to consist of 2 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) 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

The probability of getting an A in Mrs. Ritchie's class in any semester is 24%. What is the probability of NOT getting an A?

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:

## 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

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

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.

## 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

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 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

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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