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Math Support at the Academic Success Center

Richard's Stumpers

Set #4

  1. On an airplane, Smith, Robinson, and Jones are the pilot, co-pilot, and navigator, but not respectively. Also aboard the plane are three businessmen who have the same names: Smith, Robinson, and Jones.

    Mr. Robinson lives in Detroit.

    The co-pilot lives exactly halfway between Chicago and Detroit.

    Mr. Jones earns exactly $20,000 per year.

    The co-pilot’s nearest neighbor, one of the passengers, earns exactly three times as much as the co-pilot.

    Mr. Smith beats the pilot at billiards.

    The passenger, whose name is the same as the co-pilot’s, lives in Chicago.

    Using the above information, find out who the navigator is.

     

  2. A man has a basket of apples. He gave one of his friends half of the apples plus half an apple. He gave a second friend half of his remaining apples plus half an apple. He gave a third half the apples then remaining plus half an apple. He was left with just one apple which he ate himself. He did NOT divide any apples. How many apples did he have originally?

  3. The Durry family is made up of 1 grandmother, 1 grandfather, 2 mothers, 2 fathers, 5 children, 3 grandchildren, 1 brother, 2 sisters, 2 sons, 3 daughters, 1 mother-in-law, 1 father-in-law, and 1 daughter-in-law. What are the least amount of people that could be in the Durry family?

  4. Suppose an aircraft carrier is moving along in the water and a man is broad jumping on the deck. Can he jump farther if he jumps in the direction the boat is moving or in the opposite direction ? (Note: the wind has no effect upon this problem.) EXPLAIN!

  5. A chicken weighs 12 pounds plus a fourth (1/4) of its own weight. How many pounds does the chicken weigh?

  6. What common word contains one vowel six times and no other vowels? (Note: One ‘y’ is used.)

  7. How many one-inch cubes will it take to make a cubic foot?

  8. In the following multiplication problem only ten digits are used and each one is different. Each ‘x’ stands for a different digit. Can you figure out what the original problem was?

           xxx
               xx
       ----------
         xxxx1

  9. "Can you tell me what the temperature has been at noon for the past five days?" John asked the weatherman.

    "I can’t recall exactly," replied the weatherman, "but I do remember that the temperature was different each day, and that the product of the temperatures was 12."

    Assuming that the temperatures are expressed to the nearest degree, what were the five temperatures?

  10. Find the next number in this sequence: 1, 2, 3, 5, 8, ____.

     

    Answers are available with Stumper Set #5.

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Answers to Stumper Set #3

  1. 300 miles

  2. Use a magnet to separate the iron filings, dissolve the salt in water and only the sand will remain.   (When the water evaporates, the salt will remain.)

  3. 64

  4. (4 – 8) then (2 – 2 and 4 – 4) then (2 – 2 and 2 – 2) or (3 – 3) then (1 – 1 and (1 – 1) then (1 – 1) or (6 – 6) then (3 – 3) then (1 – 1).

  5. 4 birds

  6. deny

  7. 10 combinations of stamps

  8. 121

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Set #1    Set #2    Set #3    Set #4    Set #5    Set #6    Set #7    Set #8    Set #9    Set #10    Set #11    Set #12    Set #13    Set #14    Set #15    Set #16    Set #17    Set #18    Set #19    Set #20    Set #21    Set #22    Set #23    Set #24

 

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