# CLAST Math On-Line Practice Quiz

### (Form 1)

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## Question 1

Find: (- 11/30) ÷ (- 1/2)

a) -1 4/11
b) - 11/15
c) 1 4/11
d) 11/15

## Question 2

Find: (92)(74)

a) (9 + 9)(7 + 7 + 7 + 7)
b) (9 x 2)(7 x 4)
c) (9 x 9)(7 x 7 x 7 x 7)
d) ( 9 x 7)8

## Question 3

What is the place value associated with the underlined digit?
9.8492 (base ten)

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

## Question 4

Sixty 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) \$205
b) \$6000
c) \$12,000
d) \$24,600

## Question 5

Subtract:  -13.65 - 10.223 =

a) -3.427
b) -23.288
c) 3.427
d) -23.873

## Question 6

Find an equivalent form of 4/5.

a) 0.80
b) 8.0%
c) 0.80%
d) 0.080

## 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.

(9, 3)
(0.6, 0.2)
(-6, -2)
(1/5, 1/15)
(18, 6)
(1/5, ___)

a) 2/5
b) 1/15
c) 5/2
d) 15

## Question 9

If 80 is decreased to 32, what is the percent decrease?

a) 40%
b) 48%
c) 6%
d) 60%

Find of 90.

a) 36.45
b) 3.645
c) 364.5
d) 0.22

## Question 11

With Tony's new car, he is using only 77% as much gasoline per month as with his old car. He was using 75 gallons of gasoline per month with his old car. How much gasoline per month does Tony save with his new car?

a) 17.3 gal
b) 5.8 gal
c) 28.9 gal
d) 57.8 gal

## Question 12

A 10-ounce can of apple juice concentrate costs \$0.80, and a 20-ounce can costs \$2.00. How much money can be saved by buying 260 ounces of the more economical size?

a) \$20.80
b) \$26.00
c) \$1.20
d) \$5.20

## Question 13

How many whole numbers leave a remainder of 1 when divided into 41 and a remainder of 3 when divided into 23?

a) 4
b) 5
c) 6
d) 3

## Question 14

Simplify:  6 + 10 - 4 =

a) 12
b) 2 + 12
c) 16 - 4
d) 162 - 4

Divide:   =

a)

b)

c)

d)

## Question 16

Find:  0.00756 ÷ 189,000

a) 4.00 x 10-2
b) 4.00 x 108
c) 4.00 x 10-8
d) 4.00 x 102

## Question 17

Find:  7t - 5t X 2 + 18t2 ÷ 6 X 4

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

## Question 18

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

a) (x - y)(x + y) = (x + y) (x - y)
b) 5xy(3x + y) = 5xy(3y + x)
c) (3a)b = 3(ab)
d) 5(a) + 5(b) = 5(a + b)

## Question 19

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

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

## Question 20

Solve for b:  18b - 7 < 19b + 6

a) b < -13
b) b > -13
c) b > 13
d) b = -13

## Question 21

For each of the statements below, determine whether 2 is a solution.
(i)   |x + 2| = 0
(ii)  (t - 8)(t - 3) < 2
(iii) y2 + 3y + 3 = 13

a) ii and iii only
b) i only
c) iii only
d) ii 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 \$20,000 (P) at a 14% simple interest rate (R) for 6 years (T)?

a) \$2800
b) \$16,800
c) \$1680
d) \$467

## Question 23

Find f(-1) given f(x) = 2x2 + 2x + 8.

a) 12
b) 8
c) 0
d) 4

## Question 24

Which is a linear factor of 2x2 - 9x - 5?

a) 2x + 1
b) 2x - 2
c) x - 6
d) x + 6

## Question 25

Find the real roots of the equation:  2x2 + 1 = 5x

a)
b)
c)
d)

## Question 26

Solve the system:
2x + y = -4
-4x - 2y = -4

a) (-1, -2)
b) {(x, y)| y = -2x - 4}
c) (1, -2)
d) The empty set

## Question 27

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

a) y = -x
b) x > -7 and y < -7
c) x > -7, y < -7, and y < x
d) y > x -7

## Question 28

Two machines can complete 10 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/10 = 1/10
b) 3/10 = t/30
c) t/3 = 3/2
d) 10/3 = t/30

## Question 29

The cost of a long-distance phone call from New York to Rome is defined by C(t) = 0.60(t - 1) + 1.20, where the cost is \$1.20 for the first minute and \$0.60 for each additional minute. Find the cost of a 24-minute phone call.

a) \$13.80
b) \$14.40
c) \$15.00
d) \$15.60

## Question 30

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

a) x + (6x - 8) = 5
b) x - (8x + 6) = 5
c) x - (6x +8) = 5
d) x - 6x + 8 = 5

## Question 31

Find the surface area of a rectangular solid that is 18 inches long, 11 inches wide, and 6 inches high.

a) 744 in.
b) 644 sq. in.
c) 1188 sq. in.
d) 744 sq. in.

## Question 32

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

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

## Question 33

Find the cost of carpeting an office that measures 12 feet by 21 feet if the carpet costs \$14.50 per square yard.

a) \$406.00
b) \$3654.00
c) \$1218.00
d) \$609.00

## 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 an eight-sided polygon.
 3 sides 4 sides 6 sides 1 triangle 2 triangle 4 triangles S = 180 S = 360 S = 720

a) 1080
b) 1440
c) 1260
d) 900

## Question 35

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

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

## Question 36

Identify the angle below.

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

## Question 37

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

a) mV = mR
b) Since mT = 75º
mQ = 65º
c) None of the statements is true.
d) Since mT = 75º
mS = 115º

## Question 38

Which statement is true for the pictured triangles?

a) CE/CA = CB/CD
b) AC = 5.1
c) mx = 30º
d) mz mw

## 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 the English department.
b) Survey a random sample of students from a list of the entire student body.
c) Survey the first hundred students from an alphabetical listing.
d) Have students voluntarily mail in their preferences.

## Question 40

The graph below represents the yearly rainfall in inches in Sagamore County for 1985-1990. Find the rainfall for 1988.

a) 24 inches
b) 18 inches
c) 43 inches
d) 29 inches

## Question 41

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

## Question 42

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, 9, 14, 20, 20, 12, 20, 9

a) 20, 13, 13.25
b) 11, 20, 13
c) 13.25, 20, 13
d) 13.25, 13, 20

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

## Question 44

A panel of judges is to consist of 2 women and 3 men. A list of potential judges has 4 women and 6 men on it. How many different panels could be created from this list?

a) 20
b) 30
c) 6
d) 120

## Question 45

The table below shows the distribution of families by income in Portland, Oregon.

 Income Level Percent of Families \$ 0 - 9, 999 3 10, 000 - 14, 999 5 15, 000 - 19, 999 22 20, 000 - 24, 999 42 25, 000 - 34, 999 11 35, 000 - 49, 999 8 50, 000 - 79, 999 5 80, 000 - 119, 000 3 120, 000 and over 1

Identify the amount below which 8 percent of the families in Portland have lower incomes.

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

## Question 46

The probability of getting an A in Mrs. Ritchie's class in any semester is 21%. What is the probability of NOT getting an A?

a) 84%
b) 58%
c) 79%
d) 69%

## Question 47

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

 Cause Percent of all Fires Cooking 31 Smoking 18 Appliances 15 Heating system 10 Electrical system 6 Other 20

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 appliances.

a) 3/20
b) 31/84
c) 31/100
d) 5/28

## Question 48

The negation of the statement "If Kari receives the nomination for student cabinet, she will accept it" is:

a) If Kari does not receive the nomination, she will not accept it.
b) Kari receives the nomination for student cabinet and she does not accept it.
c) If Kari receives the nomination for student cabinet, she will not accept it.
d) Kari receives the nomination for student cabinet and she accepts it.

## Question 49

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

a) If Frank is not rich, James is not rich.
b) James is not rich and Frank is not rich.
c) If James is not rich, Frank is not rich.
d) Frank is not rich or James is not rich.

## Question 50

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 "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 equivalence rule is not given.

## 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 A is also a member of set C.
b) Any element that is a member of set C is also a member of set A.
c) All elements which are members of set B are also in set C.
d) No element is a member of all three sets A, B, and C.

## Question 52

Given that:
i. No people who teach classes are dumb.
ii. All teachers teach classes.
Determine which conclusion can be logically deduced.

a) No teacher is dumb.
b) All teachers are dumb.
c) Some teachers are dumb.

## Question 53

Select the conclusion which will make the following argument valid.

If you graduate, then you will get a good job. If you get a good job, then you will be happy.

a) If you are not happy, then you did not get a good job.
b) If you are happy, then you graduated.
c) If you graduate, then you will be happy.
d) If you do not graduate, 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 cats have a tail and all Siamese are cats.
Therefore, all Siamese have a tail.
b) All boys are noisy and children are noisy.
Therefore, all boys are children.
c) All cats are beautiful and all Siamese are cats.
Therefore, all Siamese are beautiful.
d) Every dog is an animal.
The beagle is a dog.
Therefore, the beagle is an animal.

## Question 55

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

All sailors are swimmers. All swimmers wear life jackets.
Sally is wearing a life jacket. Therefore:

b) Sally can sail
c) Sally is a sailor
d) Sally cannot sail

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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:

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CLAST Statistics and Probability Sample Subtest #1 by Ranjana Agarwal

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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