home *** CD-ROM | disk | FTP | other *** search
/ 800 College Boards / 800 College Boards.iso / cbrd53 / fc2 < prev    next >
Text File  |  1992-01-01  |  18KB  |  1 lines

  1.                                                                                                                                                                                                                       SECTION II                                                                  TIME - 30 minutes                                                                  25 QUESTIONS               :RA                                     In this section solve each problem,     using any available space on paper for  scratchwork. Then decide which is the   best of the choices given and select    the answer.                             :RA                                     The following information is for your   reference in solving some of the        problems.                                                            2          Circle of radius r: Area = #r ;         Circumference = 2#r                     The number of degrees of arc in a       circle is 360^.                         The measure in degrees of a straight    angle is 180^.                                                                  Definitions of symbols:                                                         = is equal to                           ^ is parallel to                        > is greater than                       [ is perpendicular to                   :RA                                     :SB                                     :SP257079203024179079257079             :SP203079203024203024203024             :SH1126A   D       B                    :SH0330C                                :SF                                     Triangle: The sum of the measures in    degrees of the angles                   of a triangle is 180.                                                           If <CDA is a right                      angle, then                                                                     (1) area of {ABC                                                                     AB x CD                               = -------                                    2                                                                             2     2     2                     (2) AC  = AD  + DC                      :RA                                     :SD                                     Note: Figures which accompany problems  in this test are intended to provide    information useful in solving problems. They are drawn as accurately as         possible EXCEPT when it is stated in a  specific problem that its figure is not drawn to scale. All figures lie in a    plane unless otherwise indicated. All   numbers used are real numbers.          :RA                                     :Q1                                     1. The number of cubic yards in a bin   8' x 6' x 3' is:                                                                (a) 5 1/3  (b) 16  (c) 48  (d) 6                                                (e) 144                                 :RCA                                    :Q1                                     2. If the quotient of two numbers is 1, their difference is:                                                            (a) 1  (b) -1  (c) 0  (d) 2                                                     (e) half of each number                 :RCC                                    :Q1                                     3. If 3/5 of the voters voted for       candidate A, and 3/4 of the remaining   votes were cast for B, what fraction of the votes was cast for candidates other than A and B?                                                                   (a) 1/5   (b) 3/10  (c) 1/10  (d) 4/9                                           (e) 1/4                                 :RCC                                    :Q1                                                  _______                                / 2    2                    4. If c = \/ a  + b , find c when a = 3 and b = 4.                                                                      (a) 5  (b) 25  (c) 7  (d) 625  (e) 75   :RCA                                    :Q1                                                 2                           5. If mx = m  + m, x = ?                                                             2                                  (a) m   (b) 2m  (c) m  (d) m + 1                                                (e) It cannot be determined from the    information given.                      :RCD                                    :Q1                                           MN                                6. If -- = 1 and M = N, then in terms          L                                                                        of M, L =                                                                                    2                              1       M       1                   (a) --  (b) --  (c) --  (d) 2M               2      2       2M                      M                                                                           (e) None of the above.                  :RCE                                    :Q1                                     7. In making a round trip between two   river ports 48 miles apart, a ship      averages 9.6 miles an hour. If the ship takes 6 hours one way, how many hours   does the return trip take?                                                      (a) 6  (b) 4  (c) 44  (d) 1  (e) 12     :RCB                                    :Q1                                     8. The thickness of a ring is equal to  the radius of the inner circle. If the  area of the outer circle is 100# sq.    in., the area of the ring is:                                                   (a) 25# sq. in.                         (b) 50# sq. in.                         (c) 66 2/3# sq. in.                     (d) 75# sq. in.                         (e) It cannot be determined from the    information given.                      :RCD                                    :Q1                                     9. In terms of its perimeter p and its  height h, the area of a rectangle is:                                           (a) p - 2h  (b) h(p - 2h)                                                           p          h                        (c) - - h  (d) - (p - 2h)                   2          2                                                                (e) It cannot be determined from the    information given.                      :RCD                                    :Q1                                     :SB                                     :SC200035200055225055225055             :SP225038225055200038225038             :SH0829O                                :SH0834E                                :SH0629D                                :SH0430A                                :SH0634C                                :SF                                     10. ODCE is a rectangle, and radius OA  = 8'. Find DE.                                 _                                (a) 4\/2'  (b) 8'                              _          _                     (c) 4\/3'  (d) 8\/2'                                                            (e) It cannot be                        determined from the                     information given.                      :RCB                                    :Q1                                     :SD                                     :SB                                     :SC165040235040200055165040             :SH0525A                                :SH0535B                                :SH0830O                                :SF                                     11. Right {AOB has an                   area of 32 square units.                AO[BO Find the number of                square units in the area                of the; circle whose                    center is O.                                                                    (a) 128  (b) 32#  (c) 16#                                                       (d) 128#  (e) 64#                       :RCE                                    :SD                                     :Q1                                     :SB                                     :SP175023266023245023263040             :SP175071266071231071263040             :SH0326A        E   B                   :SH1026C      F     D                   :SH04332x^                              :SH0635x^                               :SH09312x^                              :SF                                     12. AB^CD. Find x.                                                              (a) 36  (b) 45  (c) 60                                                          (d) 72  (e) 30                          :RCD                                    :SD                                     :Q1                                     :SB                                     :SP252032182071252071252032             :SP210056210071210071210071             :SH1026A    E      C                    :SH0437B                                :SH0730D                                :SF                                     13. DE = 4, AE = 5, and EC = 10. The    length of BC is:                                                                (a) 8  (b) 12  (c) 12.5                                                         (d) 18.75  (e) 7.5                      :RCB                                    :SD                                     :Q1                                     14. If the vertex angle of an isosceles triangle contains m^, each base angle   contains:                                                                                m        m^                    (a) (90- -)^  (b) --  (c) (180 - m)^             2         2                                                            (d) (180 - 2m)^  (e) (90 - m)^          :RCA                                    :Q1                                     15. At the time when a vertical         yardstick casts a shadow on the ground  2 feet in length, what is the length of the shadow of a man 6 feet tall?                                                (a) 3 ft. (b) 4 ft. (c) 9 ft.                                                   (d) 12 ft. (e) 6 ft.                    :RCB                                    :Q1                                     16. Six equal squares are placed side   by side in a line to form a rectangle   whose area is 150 sq. in. How many      inches are there in the perimeter of    the rectangle?                                                                  (a) 70  (b) 35  (c) 25  (d) 20  (e) 60  :RCA                                    :Q1                                            1   1   1                        17. If - = - + -, then y = ?                   y   2   3                                                                (a) 5  (b) 5/2  (c) 6  (d) 5/6                                                  (e) 6/5                                 :RCE                                    :Q1                                          7   3                              18. -- - - equals:                          12   8                                                                      (a) 1  (b) 1/3  (c) 5/24  (d) 1/6                                               (e) 20                                  :RCC                                    :Q1                                     19. If the circumference of a circle is to be equal to the perimeter of a       square of side s, the radius of the     circle =                                             2                              2s      s                           (a) --  (b) --  (c) 4s - 2#                 #       2#                                 _                                (d) 2\/2/#  (e) s/#                     :RCA                                    :Q1                                     20. Henry can repair a car in 6 hours.  When Ted helps him, they do it together in 4 hours. How many hours would it     take Ted alone to repair the car?                                               (a) 2  (b) 5  (c) 10  (d) 12  (e) 15    :RCD                                    :Q1                                     21. A liter is equal to a cubic         decimeter. A centimeter is 1/10 of a    decimeter. To the nearest tenth, how    many liters will a glass tank hold      whose dimensions are 14 cm. x 23 cm.    x 5 cm.?                                                                        (a) 161  (b) 16.1  (c) 1.61  (d) 1.6                                            (e) .2                                  :RCD                                    :SB                                     :SG157068156262067147                   :SP156068164076172084186100             :SP186100200108214128227104             :SP227104241096255068255068             :SH0525Distance Feet                    :SH07271 1 2 3 3 4                      :SH08220  6 2 8 4 0 6 2                 :SH11224                                :SH1315Depth  8                         :SH1515Feet  12                         :SH172116                               :SF                                     Questions 22 through 24 refer to the    accompanying graph. It shows the        contour of a river bed obtained by      taking soundings at                     various distances                       from the left bank                      along the channel                       width.                                  :RA                                     :SD                                     :Q1                                     :SB                                     :SG157068156262067147                   :SP156068164076172084186100             :SP186100200108214128227104             :SP227104241096255068255068             :SH0525Distance Feet                    :SH07271 1 2 3 3 4                      :SH08220  6 2 8 4 0 6 2                 :SH11224                                :SH1315Depth  8                         :SH1515Feet  12                         :SH172116                               :SF                                     22. Find in feet the maximum depth of   the river.                                                                      (a) 14  (b) 15                                                                  (c) 16  (d) 42                                                                  (e) 24                                  :RCB                                    :SD                                     :Q1                                     :SB                                     :SG157068156262067147                   :SP156068164076172084186100             :SP186100200108214128227104             :SP227104241096255068255068             :SH0525Distance Feet                    :SH07271 1 2 3 3 4                      :SH08220  6 2 8 4 0 6 2                 :SH11224                                :SH1315Depth  8                         :SH1515Feet  12                         :SH172116                               :SF                                     23. A boat normally sails in 9 feet of  water. Allowing a foot on each side for clearance, find in feet the maximum     width it may have to                    pass through the                        channel safely.                                                                 (a) 15  (b) 11                                                                  (c) 16  (d) 20                                                                  (e) 13                                  :RC                                     :SD                                     :Q1                                     :SB                                     :SG157068156262067147                   :SP156068164076172084186100             :SP186100200108214128227104             :SP227104241096255068255068             :SH0525Distance Feet                    :SH07271 1 2 3 3 4                      :SH08220  6 2 8 4 0 6 2                 :SH11224                                :SH1315Depth  8                         :SH1515Feet  12                         :SH172116                               :SF                                     24. A barge draws 3 feet of water.      Allowing 2 feet on each side for        clearance, find the maximum width in    feet of a barge that                    will pass through the                   channel safely.                                                                 (a) 31  (b) 33                                                                  (c) 29  (d) 26                                                                  (e) 32                                  :RCC                                    :SD                                     :Q1                                     :SB                                     :SC200034330034330074200074             :SP200074200034200034200034             :SH0429A                                :SH0438E        B                       :SH1129D                                :SH1138F        C                       :SH0729O                                :SF                                     25. ABCD is a rectangle.                AB = 12, and AD = DF = FC.              Find the number of square               units in the area of                    circle O.                                                                       (a) 18#  (b) 72#                                          _                     (c) 36#  (d) 36#\/2                                                             (e) 8#                                  :RCA                                    :ET                                     :ET