FCAT Practice by accinent

VIEWS: 78 PAGES: 16

									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


Answers:        1)    C       2)   G
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
   basketball team are listed below.

                    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


Answers:   1)       16    2)   C
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


Answers:   1)       D
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
     answer as a percent.

     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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