# FCAT Practice by accinent

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```									Mission: F.C.A.T.
Data Analysis & Probability
1. The test scores for Angelica for the first
9-week grading period are shown. Which
value represents the mean score for
Angelica?
Angelica’s Test Score
86    93 84 98 89

A.       88                      C. 90
B.       89                      D. 91

2. A survey was taken in Mr.
Taylor’s third period class, where
each student was to indicate the
month in which they were born.
The results of the survey were 8
students were born in January, 7
were born in May, 1 was born in
June, 5 were born in July and 3
were born in October. If one person, in
the class, is selected at random, what is the
probability they were born in July?
5
Answers:    1)      C    2)      or .2083
24
Mission: F.C.A.T.
Data Analysis & Probability

1.         Which number CANNOT represent the
probability of an event?

2                 5
A.                          C.
3                 4

B.             75%          D. 0.45

2.   Mrs. James has 33 students in her first
period class. Fifteen of the students have
brown hair. If one person in her class is
chosen at random what is the probability
they will NOT have brown hair?

15                          15
F.                               H.
33                          18

18                          1
G.                               I.
33                          33

Mission: F.C.A.T.
Data Analysis & Probability

1. Mid-Florida Credit Union has
checkbook covers that are either
spiral style or pocket size.      The
covers come in black, navy, red, or
blue. The customer’s name will be
imprinted on the cover in silver or
gold letters. How many different
choices are available for checkbook covers?

2. The heights, in inches, of the starting string
for Edgewood High School’s boy’s

71, 74, 76, 73, 76
Which of these measures of central tendency
would make the team members seem as tall
as possible?

A.               mean      C. mode
B.               median    D. range

Mission: F.C.A.T.
Data Analysis & Probability

1. The chart below shows the efficiency
ratings of four word processing clerks.
Tracy, for example, can process between
50 and 60 words per minute. Which clerk
should be given a 12,000 word document
for entry if the manager wants it
completed in the least amount of time?

60
55
Processing        50
Speed           45
w/p/m           40
35
Tracy Paul Vera Karl
Clerk

A. Tracy                      C. Vera
B. Paul                       D. Karl

Mission: F.C.A.T.

Data Analysis & Probability
1.   A bag contains 8 blue marbles, 7 red
marbles, 6 green marbles and 4 yellow
marbles. Determine the probability that the
following events will occur.

a)    A blue marble is picked.
b)    A red or yellow marble is picked.
c)    A blue or red or green marble is picked.
d)    A purple marble is picked.

a                   b                   c                 d

8         11            21
Answers:   a)            b)        c)            4)   0
25        25            25
Mission: F.C.A.T.                                       Name………………………...

Data Analysis & Probability

1.     How many different 3-letter combinations can be made from the letters b, p, k?
(Letter do not have to form a word, but letters can be repeated)

A.     27                                        C.    9
B.     3                                         D.    6

2.     If an event will occur during the year and is likely to occur in any
month, what is the probability it will occur by May 31?

3.     The height of Janine and her siblings are listed below.

5ft. 4in.; 5ft. 8in.; 5ft. 9 in.; 4ft. 10in.

What is the mean height, in inches, of the children?

4.     A box contains 10 cards marked 0 to 9. If two cards are drawn at random without
replacement, what is the probability that the sum of the two cards is greater
than 16?

1                        1                      1                    1
F.                     G.                        H.                    I.
45                      14                     10                   18

5. Consider this set of numbers: 6, 2, 3, 4, 7, 4, 7, 7, 8, 2. The number 7 represents
the:

A.     mode            B.       mean             C.    median          D.   average
Mission: F.C.A.T.                                   Name………………………….

Data Analysis & Probability
1.   If you roll a pair of fair dice, complete the following. List all the possible ways
the faces of the die would produce the following sums.

a)      sum of 2                  __________________________________

b)      sum of 12                 __________________________________

c)      sum of 3                  __________________________________

d)      sum of 11                 __________________________________

e)      sum of 4                  __________________________________

f)      sum of 10                 __________________________________

g)      sum of 5                  __________________________________

h)      sum of 9                  __________________________________

i)      sum of 6                  __________________________________

j)      sum of 8                  __________________________________

k)      sum of 7                  __________________________________

2.   If your roll a pair of fair dice, what is the probability of getting the following
sums?

a)        sum of 2 __________                  g)      sum of 5 __________

b)        sum of 12 __________                 h)      sum of 9 __________

c)        sum of 3 __________                  i)      sum of 6 __________

d)        sum of 11 __________                 j)      sum of 8 __________

e)        sum of 4 __________                  k)      sum of 7 __________

f)        sum of 10 __________
Mission: F.C.A.T.                                 Name …………………………

Data Analysis & Probability
1.   The chart at the right shows the warmest and                    Warmest on    Coldest on
coldest recorded temperatures for Florida. What        Month     record        record
is the range between the coldest and warmest                        79             9
JAN.
temperatures?
FEB.         80             21
A.   9                                               MARCH         85             22
B.   16
C.   93                                              APRIL         90             36
D.   102                                              MAY          98             47
JUNE        101             48
JULY        102             63
AUG.         99             62
SEPT.        96             50
OCT.         93             37
NOV.         87             24
DEC.         82             13

2.   In a traffic survey Molly Patterson found that out of 168 vehicles passing her
office building in one hour, 47 of them were sport utility vehicles. What is the
probability that a vehicle passing her office building is an SUV? Give your

F.      3.6%                                 H.      28.0%
G.      27.9%                                I.      47.0%

3.   When a single fair die is rolled, how many ways could the outcome
be “even”?
Mission: F.C.A.T.                                                                     Name ……………………….

Data Analysis & Probability
1.   The histogram shows the frequency distribution of salaries, in thousands of
dollars, among the top engineers in a chemical plant. What percentage of the
engineers earn between \$55,000 and \$60,000?

Salaries of Chemical Enginners
6

5
Number of engineers

4

3

2

1

0
35 to 40    40 to 45   45 To 50   50 to 55   55 To 60   60 To 65

Salaries in thousands of dollars

A. 20%                                                                           C.         15%
B. 25%                                                                           D.         33.33%

2.   A coin is tossed 70 times, and it comes up heads 43 times. Based on this
experiment determine the following probabilities.

a) The probability the coin will be a head
b) The probability the coin will be a tail.
c) The probability the coin will be a head or a tail.

a)                                                             b)                                          c)
Mission: F.C.A.T.                           Name …………………………….

Data Analysis & Probability
1.   Patty is packing for a trip. She is bringing four shirts, three pairs of   THINK
shorts, and 2 vests. All the clothes are color-coordinated and a           SOLVE
complete outfit consists of one shirt, one pair of shorts and one vest.    EXPLAIN

PART A.     Use a tree diagram and multiplication to show all the
possible combinations for the above situation.

PART B.     How many possible different outfits can be made?

2.   There are six contestants in a local talent show. A picture was
taken of the contestants. How many different ways could the
contestants be lined up for the picture?

3.   A whole number from 1 to 20 is selected randomly. What is
the probability that the number is odd? Write your answer as a
fraction.
Mission: F.C.A.T.                                Name ………………………...

Data Analysis & Probability

1.   The Pine Valley High School Volleyball Team is having a great season. In 12
games the opponents had the following scores.

5, 10, 15, 6, 12, 10, 8, 15, 14, 10, 7, 8
a)     Find the mean score of the opponents.
b)     Find the median score of the opponents.
c)     Find the mode score of the opponents.

a)                       b)                            c)

2.   A manufacturer is testing a new batch of auto parts. Of the 200
parts, 12 did NOT work. Use this sample to predict the number
of parts that would NOT work from a batch of 2,200 parts.

3.   The Old World Restaurant menu shows 8 flavors of ice cream and 3 toppings.
How many ways may a customer have 1 flavor of ice cream and 1 topping?

A.     24             B.     19             C.     11             D.   8
Mission: F.C.A.T.                                 Name .………………………...

Data Analysis & Probability
1.   A type of combination lock consists of 3 numbers, which may
have the values of 1 to 20. How many different combinations
can be made if the numbers can be repeated?

2.   A math class consists of 33 students: 15 are male and 18 are
female. The teacher calls students at random to answer questions
on the chalkboard. What is the probability that the teacher will
call on a girl for the first question?

3.   Karen missed her last quiz in math. Her scores on the first three quizzes were 78,
86, and 72. What must she score on the make-up quiz for her average to be 82?

A.     88             B.      96             C.      92             D.     82

4.   A couple plans to have three children. What is the probability they will have all
girls?

1                     1                      1                      1
F.                    G.                     H.                     I.
16                     8                      6                      2
Mission: F.C.A.T.                              Name.………………………...

Data Analysis & Probability

1.    A spinner can land on any of the numbers 1 to 8. Determine the
probability of the following events.

a)   The spinner lands on a 4.                               8   1
b)   The spinner lands on an odd number.                             2
c)   The spinner lands on a even number              7
d)   The spinner lands on a 1 or a 2.                6
e)   The spinner lands on a 3 or 4 or 5.                             3
f)   The spinner lands on a 3 or 5 or 6 or 8.            5       4

a)                          b)                               c)

d)                         e)                                f)
Mission: F.C.A.T.                               Name ………………………...

Data Analysis & Probability

1.   How many lines are determined by 3 points, no two of which are collinear?

2.   How many lines are determined by 4 points, no two of which are collinear?

3.   How many lines are determined by 5 points, no two of which are collinear?

4.   How many lines are determined by 6 points, no two of which are collinear?

5.   How many lines are determined by 7 points, no two of which are collinear?

1.                           2.                           3.

4.                           5.
Mission: F.C.A.T.                                   Name ……………………………

Data Analysis & Probability
1.   There are 12 questions on a true/false test. If all the questions
are answered, in how many ways can the test be completed?

2.   How many ways can 8 different books be arranged on a shelf?

3.   How many six-digit license plates can be made if the first digit cannot be zero and
no digits may be repeated?

A.     1,000,000               C.      136,080
B.     151,200                 D.      60,480

4.   How many six-digit license plates can be made if the first digit cannot be zero, but
digits can be repeated.

F.     1,000,000               H.      136,080
G.     900,000                 I.      151,200
Mission: F.C.A.T.                                     Name.………………………...

Data Analysis & Probability
1.   A bank plans to assign an ID number to each account. Each number will have 5
digits, and no digit will be repeated. How many different account numbers can be
form

A.      30,240                  C.      15,120
B.      100,000                 D.      3,125

2.   The manager of a baseball team needs to create a lineup for the game. If the
lineup consists of 9 players, how many different lineups are possible?

F.      5,040                   H.      40,320
G.      362,880                 I.      100,000

3.   The manager of a baseball team needs to create a lineup for the game, but he
wants his best hitter to bat 4th. If the lineup consists of 9 players, how many
different lineups are possible.

A.      5,040                   C.      40,320
B.      362,880                 D.      100,000

4.   The manager of a baseball team needs to create a lineup for the game, but he
wants his most consistent hitter to bat 1st and his best hitter to bat 4th. If the lineup
consists of 9 players, how many different lineups are possible.

F.      5,040                   H.      40,320
G.      362,880                 I.      100,000

5.   Six books labeled A through F are arranged at random on the
shelf. What is the probability that they are arranged in
alphabetical order?

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