CLAST Math On-Line Practice Quiz

(Form 2)

Test Timer

This is a self test. No one but you will see the rersults. In order to forward you your test results please enter your name & email address below:

Enter First Name followed by a space then your Last Name here

Question 1

Find: (- 1/2) ÷ (- 1/12)

a) - 1/6
b) 6
c) -6
d) 1/6

Question 2

Find:  (54) (93)

a) (5 x 5 x 5 x 5) (9 x 9 x 9)
b) (5 + 5 + 5 + 5) (9 + 9 + 9)
c) (5 x 9)12
d) (5 x 4) (9 x 3)

Question 3

What is the place value associated with the underlined digit?
1.4192 (base ten)

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

Question 4

Twenty individuals work for a company. The lowest paid person earns \$150 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) \$8600
b) \$4200
c) \$2100
d) \$215

Question 5

Subtract:  -18.40 - 1.681 =

a) 16.719
b) -16.719
c) -19.721
d) -20.081

Question 6

Find an equivalent form of 1/2.

a) 0.050
b) 0.50
c) 0.50%
d) 5.0%

Question 7

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

a) <
b) >
d) =

Question 8

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

(8, 2)
(0.8, 0.2)
(-20, -5)
(1/9, 1/36)
(28, 7)
(1/4, ___)

a) 2
b) 16
c) 1/2
d) 1/16

Question 9

If 50 is decreased to 40, what is the percent decrease?

a) 20%
b) 80%
c) 10%
d) 2%

Find of 10.

a) 0.105
b) 1.05
c) 10.5
d) 0.10

Question 11

With Tony's new car, he is using only 79% as much gasoline per month as with his old car. He was using 101 gallons of gasoline per month with his old car. How much gasoline per month does Tony save with his new car?

a) 39.9 gal
b) 79.8 gal
c) 21.2 gal
d) 8.0 gal

Question 12

A 12-ounce can of grape juice concentrate costs \$1.20, and a 24-ounce can costs \$2.88. How much money can be saved by buying 280 ounces of the more economical size?

a) \$28.00
b) \$33.60
c) \$1.68
d) \$5.60

Question 13

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

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

Question 14

Simplify:  2 + 9 - 1 =

a) 112 - 1
b) + 10
c) 10
d) 11 - 1

Divide:   =

a)

b)

c)

d)

Question 16

Find:  0.0414 ÷ 207,000

a) 2.00 x 103
b) 2.00 x 10-7
c) 2.00 x 10-3
d) 2.00 x 107

Question 17

Find:  4t + 3t  X  3 + 16t2 ÷ 8   X  3

a) 2/3 t2 + 13t
b) 6t2 + 21t
c) 2/3 t2 + 21t
d) 6t2 + 13t

Question 18

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

a) (a + b) (a - b) = (a - b) (a + b)
b) 6xy (2x + y) = 6xy (2y + x)
c) (2a) b = 2 (ab)
d) 6 (a) + 6 (b) = 6 (a + b)

Question 19

Choose the inequality equivalent to -3 < -3x - 6 < 3.

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

Question 20

Solve for b:  19b - 2 < 20b + 12

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

Question 21

For each of the statements below, determine whether -2 is a solution.
(i)   | x - 2 | = 0
(ii)  (t + 5)) (t - 1) < 9
(iii) y2 + 6y + 18 = 10

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

Question 22

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 \$16,000 (P) at a 10% simple interest rate (R) for 2 years (T)?

a) \$3200
b) \$800
c) \$320
d) \$1600

Question 23

Find f(3) given f(x) = 3x2 - 2x + 7.

a) 10
b) 28
c) 21
d) 16

Question 24

Which is a linear factor of 5x2 - 14x + 8 ?

a) x - 3
b) 5x + 3
c) x + 3
d) 5x - 4

Question 25

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

a)

b)

c)

d)

Question 26

Solve the system:
3x - y = -5
6x - 2y = 10

a) {(x, y) | y = 3x + 5}
b) The empty set
c) (-1, 2)
d) (1, 2)

Question 27

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

a) x > -1, y < -1, and y < x
b) x > -1 and y < -1
c) y = -x
d) y > x - 1

Question 28

Two machines can complete 5 tasks every 3 days. Let t represent the number of tasks these machines can complete in a 31-day month. Select the correct statement of the given condition.

a) t/3 = 31/10
b) t/5 = 3/31
c) 5/3 = t/31
d) 3/5 = t/31

Question 29

The cost of a long-distance phone call from New York to London is defined by C(t) = 0.80(t - 1) + 1.35, where the cost is \$1.35 for the first minute and \$0.80 for each additional minute. Find the cost of a 3-minute phone call.

a) \$3.75
b) \$1.60
c) \$2.40
d) \$2.95

Question 30

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

a) x + (3x - 5) = 6
b) x - 3x + 5 = 6
c) x - (3x + 5) = 6
d) x - (5x + 3) = 6

Question 31

Find the surface area of a rectangular solid that is 17 inches long, 16 inches wide, and 14 inches high.

a) 1468 sq. in.
b) 1468 in.
c) 3808 sq. in.
d) 1368 sq. in.

Question 32

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

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

Question 33

Find the cost of carpeting an office that measures 21 feet by 24 feet if the carpet costs \$10.50 per square yard.

a) \$5292.00
b) \$588.00
c) \$1764.00
d) \$882.00

Question 34

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) 1980
b) 2340
c) 2160
d) 2520

Question 35

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

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

Question 36

Identify the angle below.

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

Question 37

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

a) mV = mR
b) None of the statements is true.
c) Since mT = 70º
mS = 115º
d) Since mT = 70º
mQ = 70º

Question 38

Which statement is true for the pictured triangles?

a) mx = 40º
b) mz mw
c) AC = 5.8
d) CE/CA = CB/CD

Question 39

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 40

The graph below represents the yearly rainfall in inches in Sagamore County for 1985-1990. Find the rainfall for 1987.

a) 37 inches
b) 43 inches
c) 20 inches
d) 29 inches

Question 41

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

Question 42

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, 28, 23, 19, 17, 19, 13, 19, 4, 14

a) 15, 7, 18, 19
b) 15.7, 19, 18
c) 19, 18, 15.7
d) 14.5, 19, 18

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

Question 44

A panel of judges is to consist of 2 women and 5 men. A list of potential judges has 4 women and 7 men on it. How many different panels could be created from this list?

a) 32
b) 126
c) 6
d) 18

Question 45

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 4 15, 000 - 19, 999 24 20, 000 - 24, 999 40 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 31 percent of the families in Tampa have lower incomes.

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

Question 46

The probability of getting an A in Mrs. Ford's class in any semester is 22%. What is the probability of NOT getting an A?

a) 88%
b) 78%
c) 68%
d) 56%

Question 47

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

 Cause Percent of all Fires Cooking 32 Smoking 16 Appliances 18 Heating system 9 Electrical system 8 Other 17

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) 32/83
b) 9/50
c) 18/83
d) 8/25

Question 48

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

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

Question 49

The statement logically equivalent to "It is not true that both Michael and Ralph are teachers" is:

a) If Michael is not a teacher, Ralph is not a teacher.
b) Michael is not a teacher or Ralph is not a teacher.
c) Ralph is not a teacher and Michael is not a teacher.
d) If Ralph is not a teacher, Michael is not a teacher.

Question 50

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 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 C is also a member of set A.
b) All elements which are members of set A are also members of set B.
c) Any element which is a member of set A and set B cannot be in set C.
d) Any element which is a member of set U is also a member of set C.

Question 52

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

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

Question 53

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 work hard, then you will be happy.
b) If you are happy, then you worked hard.
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 54

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

Question 55

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

All beachcombers are swimmers. All swimmers wear swimsuits.
Sally is wearing a swimsuit. Therefore:

a) Sally cannot swim
b) Sally is a beachcomber
c) Sally can swim

The 'Muddy Water' Issues that I need help on are as follows:

When you have completed this quiz, press the ALL DONE-CHECK TEST button below to check the test! Then you may go back and change the incorrect answers before you submit the test. You may check the answers as many times as you need until you achieve a perfect grade. Sometimes the pop-up box does not appear when you click on the button after checking the test the first time. If this happens, minimize the test and the answer box will be behind the browser. close the box and maximize the test to continue checking the test and finally submitting it.

When you have finished checking the test, press the SUBMIT button to send answers to your instructor

Professor Ignacio Bello has produced from his CLAST math test generator, the following specific subtest practice for student having specific subtest problems:

Arithmetic Skills Subtests:

CLAST Arithmetic Sample Subtest #1 by Ranjana Agarwal

CLAST Arithmetic Sample Subtest #2 by Ranjana Agarwal

Algebra Skills Subtests:

CLAST Algebra Sample Subtest #1 by Ranjana Agarwal

CLAST Algebra Sample Subtest #2 by Ranjana Agarwal

Geometry and Measurement Skills Subtests:

CLAST Geometry and Measurement Sample Subtest #1 by Ranjana Agarwal

CLAST Geometry and Measurement Sample Subtest #2 by Ranjana Agarwal

Statistics and Probability Skills Subtests:

CLAST Statistics and Probability Sample Subtest #1 by Ranjana Agarwal

CLAST Statistics and Probability Sample Subtest #2 by Ranjana Agarwal

Logical Reasoning Skills Subtests:

CLAST Logical Reasoning Sample Subtest #1 by Ranjana Agarwal

CLAST Logical Reasoning Sample Subtest #2 by Ranjana Agarwal

Caution: Click reset to clear all answers

Users whose browser does not support JavaScript, when you have completed this quiz click the submit button below to send answers to your instructor

Elapsed Time to complete quiz:

Quiz Page was last modified by John Taylor and Ranjana Agarwal: . These sample test items were taken from the State CLAST Math booklet.Copyright Florida State Department of Education