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Chapter 11 Practice Test

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					Geometry Connections                                                    Name_________________________
Chapter 11 Practice Test                                                Date ______________




1.   For the "dart board" at the right, what is the probability                       8"
     of hitting the shaded region? Explain your answer.
                                                                                 2"            3"


                                                                   5"




2.   If you wander through the maze at right, which room                               B
                                                                                                A
     are you most likely to wander into? Justify your
     answer by calculating the probabilities of wandering
     into each room.
                                                                                           C




3.   For each dart board, calculate the probability of hitting the lower left section if the radius of each section is
     0.4.




                             1               1
                  1




       1                              1
4.   Use the spinner at right, and determine the following
     probabilities:
     a) P(A)                             b)      P(A or C)



     c) P(D)                              d)        P(E)




5.   Use the spinner at right to find:

     a) P(red)                            b)        P(blue)




     c) P(green)                  d)      P(yellow)




6.   Determine the probability of hitting the shaded parts.

     a)                                                              b)
                   5

          6                  5                                            8


                   4        4
                                                                               8



7.
     Bombers, in attempts to wipe out munitions
     areas, drop bombs inside triangular shaped
     fields. In one case the field is an
     equilateral triangle with each edge                      1 km            1 km
     measuring 1 km, with a munitions building at
                                            1
     each vertex. If a bomb lands within      km
                                            3                        1 km
     of the building, it destroys the building.                                      1       1
     What is the probability of destroying a
     building?
                                                                                         1
8.             Zoe, your favorite sheep, is tethered at point A with a rope 15                      60'
               feet long. (It seems a group of wild geometry students are
               out to get her so she must stay tied up and in the pasture.)       20'
                                                                                              30'       A
               What is her grazing area?                                                            •
                                                                                                        10'
                                                                                  30'


                                                                                        20'

                                                                                  30'




     9.       Simplify each expression.


                         (x + 2)(x + 2)                                    x2 + 4x
                    a)                                                c)
                         (x - 3)(x + 2)                                    2x + 8




                         x2 + 5x + 6                                              x+9
                    b)                                                d)   Does       = 9 ? Explain.
                                                                                   x
                          x2 + x - 6




10. Find the total surface area, and volume of each shape. All units are cm.
a)                                             b)                                                       c) Base is a square
                8
                                                            6
                           9
          4

                                                                 10

				
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