Math Applications Quiz #B0                Name
                                               ------------------------------

Write the letter name of the answer to each of the following questions:

      1.  A 12 ft board is cut into 4 equal shelf pieces to the greatest 
----      possible whole number of feet.  Allowing for a 3/16" kerf (saw-blade 
          width), how long, to the next lower inch, is the leftover piece?

      2.  A 100 ft pipe, 3 inches in diameter has a flow rate of 54 gal/min at 
----      a pressure of 50 psi.  What would be the flow rate of a 200 ft pipe 
          of the same material, 1 inch in diameter at a pressure of 200 psi?  
          (Flow is proportional to the square root of the pressure.)

      3.  A supersonic transport (SST) flies an easterly route which 
----      circumnavigates the globe and so returns to its starting point.  
          Its schedule is timed so that, when it takes off, the local time is 
          always 6:00 AM.  The total length of the route is 27,000 mi.  
          Allowing for nine layovers of 40 minutes each per trip for changing 
          passengers and refueling, what is the average speed of the plane?

      4.  A deer runs out in front of a car traveling at 55 mph and stops in 
----      the glare of the headlights.  How close (in feet) can the driver 
          come to the deer without seeing it before it is to late to avoid a 
          collision?  Assume that it takes about 3/4 sec to hit the brakes, 
          another 1/2 sec to add effective steering to the maneuver.

      5.  It takes 27 gal of paint to cover the outside of an office building.  
----      The warehouse that is to be painted next is three times as long, 
          four times as wide and half as high as the office building.  How 
          many 5-gallon cans of paint must the painter use for the warehouse?

      6.  A filterable virus has a population of 30,000,000 per ml in a blood 
----      sample take from a patient.  Assuming a total volume of 6 liters of 
          blood in the patient's body, how many more hours will the patient be 
          sick if the body's natural defenses eliminate 2,000,000,000 more 
          viruses per hour, on the average, than are reproduced?      

      7.  A coat is marked on sale for $89.95.  The sign says that everything 
----      the store was marked down 15%.  The original price tag says $99.95.  
          By what percent (to the nearest whole number) is the sign in error?

      8.  Smithville is 14.6 mi from New Depot by road.  Northport is 27.4 mi 
----      from Old Harbor.  The road from Northport to New Depot and the road 
          from Smithville to Old Harbor cross at Centerburg.  Northport is 12 
          mi from Centerburg; New Depot is half that far.  Smithville is the 
          same distance from Old Harbor as Northport is from New Depot; 
          Centerburg lies halfway between Smithville and Old Harbor.  What is 
          the length of the shortest route connecting all 5 towns?

      9.  A dealer buys candy bars 12 to a case and sells each bar separately 
----      for one-eighth of the cost per case.  What is the rate of profit?

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

A. 57      C. 5       E. 63      H. 1500    K. 90      M. 60      P. 30
B. 36      D. 150     G. 50      J. 47      L. 101     N. 33      Q. 6