CLAST Math On-Line Practice Quiz

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-1/3 -(-2) =

a) -7/3
b) -12/3
c) 1/3
d) 1 2/3

(-6) x 2 1/2 =

a) -7 1/2
b) 15
c) -12/5
d) -15

1.46 + 0.257 =

a) 4.03
b) 0.403
c) 1.717
d) 0.1717

4.56 x 2.6 =

a) 1.1856
b) 3.648
c) 11.856
d) 2.648

Question 5

If you increase 12 by 50% of itself, what is the result?

a) 6
b) 18
c) 24
d) 12.5

Question 6

What is the distance around a circular pond that has a 5-foot radius?

a) 10p sq ft
b) 25p ft
c) 16p ft
d) 10p ft

Question 7

What is the surface area of a rectangular solid that is 10 inches long, 3 inches wide, and 2 inches high?

a) 60 cubic inches
b) 112 square inches
c) 132 inches
d) 72 square inches

Question 8

What is the volume of a cube with an edge length of 3 inches?

a) 3 inches
b) 12 square inches
c) 27 cubic inches
d) 36 cubic inches

2p + 8p - 4 =

a) 10p² - 4
b) 6p
c) 10p - 4
d) 14p

Question 10

(2)(½) x (8)(½) =

a) 4 x 64
b) 2
c) 4
d) 8

Question 11

4a - 2a x 3 + 12a½ ÷ 6 x 2 =

a) 2a²
b) 6a + a²
c) -2a + 4a²
d) 6a + 4a²

Question 12

(2.4 x 104) x (1.2 x 10-5) =

a) -2.88
b) 2.88
c) 0.288
d) 28.8

Question 13

3(x - 1) = 4x -(7 - 2x) + 3

a) x = 5
b) x = -1
c) x = 3
d) x = 1/3

Question 14

If R = 2(s + t²) - 1, find R when s = 2 and t = 5

a) 17
b) 28
c) 52
d) 53

Question 15

Find f(2) giving f(x) = 2x² - 7x - 3

a) -17
b) -14
c) -10
d) -9

Question 16

Which is a linear factor of the following experssion? 6x² - x - 2

a) 2x - 1
b) 3x + 2
c) 3x - 2
d) 2x + 4

Question 17

What are the real roots of this equation? 6x² + x = 1

a) 1/2 and - 1/3
b) -1/2 and 1/3
c) 2/3 and 1/2
d) -2/3 and 1/2

Question 18

The graph below indicates the average temperatures at five locations around the country. What is the difference between the average temperature of location #3 and that of location #4?

a)40º
b) 30º
c) 15º
d) 10º

Question 19

What is the mean of the following sample?
6,11,6,12,5,7,11,9,6,8,7

a) 6
b) 7
c) 8
d) 9

Question 20

From a group of three boys and three girls, one girl and one boy will be selected for the leads in a play. How many possible ways can the selection be made?

a) 6
b) 9
c) 12
d) 15

Question 21

Sets A, B, C, and U are related as shown in the diagram.

Which of the following statements is true, assuming none of the eight regions is empty?

a) Any element which is a member of set B is also a member of set A.
b) Some element is a member of all three sets A, B, and C.
c) Any element which is a member of U is also a member of set A.
d) None of the above statements is true.

(2²)³ =

a) 25
b) 26
c) 28
d) (2 x 2) x 3

Question 23

Select the place value associated with the underlined digit. 7.0213

a) 1/101
b) 1/10²
c) 1/10³
d) 1/104

0.17 =

a) 17/100%
b) 1 7/10%
c) 17/100
d) 17/10

Question 25

Identify the symbol that should be placed in the underscore to form a true statement.
3/7 ___ 6/14

a) =
b) <
c) >

Question 26

One hundred people took a personality survey. All of the peoplescored less than 80 but more than 45. What is a resonable estimate of the average survey score?

a) 85
b) 63
c) 40
d) 36

Question 27

Which of the statement following the figure is true for the figure shown? (The notation "m<A" indicates the measure of angle A.)

a) m<W = 115º
b) m<T = m<X
c) m<R is supplementary to m<X
d) m<T = m<Y

Question 28

Select the geometric figure that possesses all of the following characteristics:
i. three-sided
ii. two sides equal
iii. altitude forms right angle with base

a) Scalene triangle
b) Isoceles trianle
c) Right triangle
d) Equilateral triangle

Question 29

Which of the statements A-D is true for the pictured triangles?

a) m<ABC = m<BAC
b) EC = AB
c) m<ABC = m<ECD
d) ED/CD = BC/AB

Question 30

What type of measurement is needed to express the length of line segment AB shown below?

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

a + 0 =

a) a + (-a)
b) (1)(a)
c) (0)(a)
d) (-a) + a

Question 32

For each of the three statements below, determine wheater (-1) is a solution.
i. a - 1 < 1
ii. (t - 1)(t + 5) = 0
iii. x² -2x + 5 = 8
Which statement below identifies every statement that has (-1) as a solution?

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

Question 33

Two painters can paint 3 houses every 7 days. Let h reperesnet the number of houses these painters can complete in 30 days. Select the correct statement of the given condition.

a) 3/7 = 30/h
b) 3/7 = h/30
c) 7/30 = h/3
d) 7/h = 30/3

Question 34

Which shaded region identifies the portion of the plane in which 2x + y >/= 0?

a)
b)
c)
d)

Question 35

In a residential area, half the people are 65 years of age. Most of the remaining people are 55, except for a few people who are 20 years of age. which of the following statements is true about the distribution of ages?

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

Question 36

A marketing firm wants to know where to locate a department store in Miami. Which of the following procedures would be most appropriate for obtaining a statistically unbiased sample of the shoppers of Miami?

a) Pass out a survey to all working by the area where the company wants to buy land.
b) Survey the first 100 people in the telephone book.
c) Select the first 50 people met in the street.
d) Randomly survey shoppers of other department stores in Miami.

Question 37

A box contains five yellow cubes and six blue cubes. If two cubes are drawn from the box at random with replacement, what is the probability that neither cube is yellow?

a) 5/11 x 4/10
b) 6/11 x 5/10
c) 6/11 x 6/11
d) 2 x 6/11

Question 38

Select the statement that is the negation of the statement "Hill is a writer and Cary is a foreman."

a) Hill is not a writer or Cary is not a foreman.
b) If Hill is not a writer, then Cary is a foreman.
c) Hill is not a writer and Cary is not a foreman.
d) Hill is a writer or Cary is a foreman.

Question 39

Select the statement that is logically equivalent to "If the bell rings, then you will hear it."

a) If the bell does not ring, then you will hear it.
b) If you do not hear it, then the bell is not ringing.
c) If the bell does not ring, then you do not hear it.
d) If you hear it, the bell is ringing.

Question 40

Read the requirements and each family's qualifications for sending their pets overseas. Then identify which family is allowed to take their pets overseas.
To take a pet overseas, a family must apply for a permit to travel with their pet. The pet must be quarantined for six weeks and a veteranian must certify the health of the pet.
The Smith family took their dog to the veteranian six weeks ago to be tested and quarantiened.
The Jones family obtained a permit for their cat ten weeks ago.
The Burgess family took their permit to the veteranian some six weeks ago.

a) The Smiths
b) The Joneses
c) The Burgesses
d) No one

Question 41

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 cars use gas all sedans are cars. Therefore, all roadsters have wheels.
b) All cars have wheels and all roadsters are cars. Therefore, all roadsters have wheels.
c) All Fords have wheels and all cars have wheels. Therefore, all Fords are cars.
d) All trucks have wheels and all vehicles with wheels have a horn, Therefore, all trucks have horns.

Question 42

Look for a common linear relationshop between the numbers in each pair. Then identify the missing term. (2,6) (0.4, 1.2) (1/5, 3/5) (8, 24) (1/3, __)

a)3
b)1
c) 1/9
d) 6

Question 43

Select the property or properties of operations illustrated in the equation:
2 + (3 + 5) = (2 + 5) + 3

a) Associative property of addition only
c) Distributive property only
d) Associative property of addition and the distributive property

Question 44

Study the given information. In the figure, h is the height and b is the base.

Given that the area of a triangle is 1/2bh, what is the area of the parallelogram shown in the above figure?

a) 1/2bh
b) h²
c) bh
d) h + b

Question 45

Study the examples:
a² * a³ = a7
a5 * a² = a9
a³ * a² = a7
Select the equation which is compatible with the data.

a) ax * ay = axy
b) ax * ay = ax+y+2
c) ax * ay = axy+1
d) ax * ay = a2x+y

Question 46

Select the property used to justify the following statement.
If x + 3 = 7, then x = 4.

a) If a = b, then ac = bc.
b) If a = b, then a + c = b + c
c) If a = b and b = c, then a = c
d) If a = b, then b = a

Question 47

Study the outcomes for tossing 1, 2, or 3 coins simulaneously.
1 Coin       2 Coin      3 Coin
H               HH             HHH  THH
T                HT             HHT  THT
TH             HTH  TTH
TT              HTT  TTT

If six coins were tossed simultaneously, how many possible arrangements of heads and tails would there be?

a) 16
b) 24
c) 36
d) 64

Question 48

Read each of the following arguments. Then select the symbolic form of the reasoning pattern illustrated by both arguments.
If you finish your work, then you can go to the party.
You did not go to the party.
Thus, you did not finish your work.

If you want to buy the car, you must get a loan.
You did not get the loan.
Therefore, you can't buy the car.
a)

p --> q
~  q
___
\~   q

b)

p --> q
~  q
___
\~   p
c)

p --> q
~  p
___
\~   q
d)

p --> q
q
___
\  p

Question 49

Select the rule of logical equivalence which directly (in one step) transforms statements "i" into statement "ii."
i. If x³ is negative, then x is negative.
ii. If x not negative, then x³ is not negative.

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 equivlance rule is not given.

Question 50

A sporting goods store ordered 5 style of shoes, 9 pairs in each style. Each pair of shoes cost the store \$30 and were to be sold for \$60. If 2/5 of the shoes were still on the shelves at the end of the quarter, how much profit did the store make?

a) \$1755
b) \$1350
c) \$270
d) \$18

Question 51

The household budget included \$600 for furniture. Mary found a store that sold all the furniture she needed at 40% off the list price. If she used all her furniture budget at this store, what is the actual value of the furniture Mary purchased?

a) \$240
b) \$360
c) \$760
d) \$1000

Question 52

How many numbers leave a remainder of 3 when divided into 48 and a remainder of 2 when divided into 25?

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

Question 53

What is the cost of carpeting a room that is 9 feet by 12 feet if the carpet cost \$10 per square yard?

a) \$120
b) \$300
c) \$400
d) \$700

Question 54

The difference between a number and three times the number is 10. Which equation could be used to find x, the number?

a) x - 3x = -10
b) x = 10 -3x
c) x - 3x = 10
d) 4x = 10

Question 55

Two people are to be chosen at random from a group of twenty people consisting of 10 men and 10 women. What is the probability that the two people selected will either both men or both women?

a) 2 x 10/20 x 9/19
b) 10/20 x 9/19
c) 2/20 x 2/20
d) 2/20 + 2/20

Question 56

Study the information given below. If a logical conclusion is given, select that conclusion. If none of the conclusions is warranted, select the option expressing this condition. If you exercise you lose weight. If you eat less you lose weight. You eat less but do not exercise. Therefore:

a) you do not lose weight
b) you lose weight
c) you need to exercise
d) None of these conclusions is warranted

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This quiz is a reprint of the sample quiz in the textbook: How to Pass CLAST-Mathematics by H.Joan Dykes and Ronald R. Smith of Edison Community College, published in 1989 by Dellen Publishing. This book is currently out of print and this information is for educational purposes only for the students of Florida. If contacted by the authors or the publisher this test will be removed from the Internet as the intention of the programmer is to help the currently struggling students in Florida to pass the CLAST math test without charge. I do recommend if you can get a copy of this text or others published by other authors, such as Ignacio Bello of USF/HCC, that you do so to improve your ability to pass the math subtest of CLAST. This Quiz Page was last modified by John Taylor.