# CLAST Math On-Line Practice Quiz

### (Form 5)

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## Question 01

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

## Question 02

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 03

Find: (- 1/2) ÷ (- 1/12)

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

## Question 04

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 05

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 06

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 07

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 08

Simplify:  2 + 9 - 1 =

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

## Question 09

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 10

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 11

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 12

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 13

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 14

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 15

Subtract:  -18.40 - 1.681 =

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

## 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

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 18

Find an equivalent form of 1/2.

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

## 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

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 21

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

## Question22

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

a) <
b) >
d) =

## Question 23

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 24

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

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

## Question 25

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 26

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 27

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 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

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

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

## Question 30

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 31

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

a)

b)

c)

d)

## 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

Find of 10.

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

## Question 34

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 35

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.

Divide:   =

a)

b)

c)

d)

## Question 37

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 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

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 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

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 42

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 43

Identify the angle below.

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

## Question 44

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 45

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 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

Solve for b:  19b - 2 < 20b + 12

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

## Question 48

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 49

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 50

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 51

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 52

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 53

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

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

## Question 54

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 55

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 56

If x-2(3x - 1) = 0, then

a) x = -2/7
b) x = -2/5
c) x = -1/5
d) x = 2/5

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