Math Applications Quiz #A0                Name
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Write the letter name of the answer to each of the following questions:

      1.  A new radio tower 500 feet tall is to be braced by four guy wires 
----      anchored 200 feet from the center of the base of the tower.  The 
          wires are fastened to the tower 50 feet from the top of the tower.  
          Allowing an additional 10% length for stretch, sag and fasteners, 
          how many whole yards of cable have to be ordered?

      2.  The cargo space of a freight truck has interior dimensions of 15 
----      feet, 6 inches long by 7 feet, 8 inches wide by 8 feet, 2 inches 
          high.  A stack of boxes needs to be transported.  There are 1863 
          boxes, each measuring 36 inches long by 24 inches wide by 18 inches 
          high.  The boxes may not be turned on their sides during shipping.  
          How many trips will the truck have to make?

      3.  A bear cub 1 m long from nose to tail weighs 40 kg.  All other 
----      charcteristics remaining unchanged, about how much should it weigh 
          when it reaches a length of 3 m?

      4.  What is the longest flagpole (to the nearest inch) that can be 
----      carried in the cargo space of the truck in problem 2?

      5.  An airplane traveling at 150 mi/hr is descending from an altitude 
----      of 20,000 ft at a rate of 1600 ft/min toward an airport 50 mi away.  
          By how many ft/min must the pilot decrease the rate of descent in 
          order for the glide path to reach the end of the runway?

      6.  A homeowner is adding topsoil in order to put in a new lawn.  The 
----      yard measures 200 by 300 ft.  The dimensions of the house are 20 by 
          30 ft and the garage is 10 by 20 ft.  If 3 in of topsoil are to be 
          added to the entire yard, how many cubic yards of topsoil (to the 
          nearest 10 yd3) must be delivered?

      7.  A swimming pool averages 20 m long by 5 m wide by 2 m deep.  How 
----      many metric tons of water does the pool foundation have to 
          withstand?  (One liter of water weighs 1 kg.)

      8.  A tree casts a shadow 20 m long on level ground.  At the same time, 
----      an axe handle 1 m long casts a shadow 80 cm long when held 
          vertically.  How tall is the tree?

      9.  An airplane flies 1120 mi at an average airspeed of 600 mph.  A 
----      headwind blows at an average of 40 mph the whole time.  If the wind 
          keeps blowing at the same speed during the return flight, how many 
          minutes shorter will the return flight be?

      10. A swimmer tries to set an endurance record by swimming as many 
----      consecutive laps of a 20 m pool as possible.  She averages 2 mph on 
          her first lap and loses .1 mph on each successive lap.  How many 
          meters will she have swum by the time she comes to acomplete stop?

Possible answers:  (Some answers may be used more than once or not at all.)

A. 120     C. 25      E. 400     H. 1080    K. 600     M. 250     P. 200
B. 230     D. 722     G. 15      J. 723     L. 548     N. 229     Q. 550