Brain Teasers – Sep/Oct 2020

NOTE:  Newest BTs in red, Bonuses in blue, comments in green, updates in purple.

  1. Mary’s mother had three daughters. The first two were named April and May.  What was the name of the third daughter?
  2. A cheetah was clocked running 550 feet in 10 seconds. About how many miles per hour is that?
  3. Find a three-digit perfect square whose last two digits are its square root.
  4. Ninety-six is 37.5% of what number?
  5. What is a) the mean and b) the median of the first 10 prime numbers?
  6. Two dates are called ‘reciprocal dates’ if, when written as fractions, each is the other’s reciprocal. E.g., October 6 (10/6) and June 10 (6/10) are reciprocal dates.  Not all dates have reciprocal dates (Sep 21, e.g.), and 12 days are their own  reciprocal dates. (6/6, e.g.)  In any given non-leap year how many days do NOT have reciprocal dates?
  7. A triangle’s hypotenuse is 13 units. One of the legs is 12.  What is the triangle’s area?
  8. A history/culture trivia BT: Name a) the man and b) the woman who has/have appeared on the cover or TIME most often. (I mean, what is Google for, right?)
  9. My double exceeds my half by 2. Who am I?
  10. Find three consecutive integers whose sum (adition) equals their product (multiplication).
  11. Is it possible for a year to have two consecutive months with a Friday the 13th?
  12. True or false?  An 8″ (radius) circular pizza has over twice as much pizza as a 6″ pizza of the same thickness.  (Partial credit for correct answer [only].  Full credit for explanation.)
  13. (Repeat?) Can you find FIVE consecutive integers, none of which are prime? (Multiple answers possible?)
  14. If you draw a card from a ‘normal’ 52-card deck (no jokers), what’s the probability that the card you draw will be EITHER a heart OR a king?

Determine the value for “?” in the equations on the left. (Easier than it might look.)
 
 
16. Did you see the GARFIELD cartoon (see 10/24 at link) shared recently (today, for some of you) ?  For an easy almost-freebie, how could the wish of the kid on TV have backfired on him? (multiple answers possible again?)
VIRAL PUZZLE #mathpuzzle #viral #quiz17. Possible multiple answers? (Supporting your answer helps.)
18.
Bonus #1:  How many states’ names can you string together so that the last letter of one becomes the first letter of the next?  E.g., WyominG, GeorgiA,  AlaskA, , . . . etc.  (We’ll keep ongoing records here and everyone who sets, breaks, or ties a current record in a new way will be listed later.)
Bonus #2:  See #10 above.  There are actually THREE sets of triplets that satisfy this condition.  Can you find the other two?
Bonus #3:  See #13 above.  What’s the largest such string (of non-prime [composite]) integers you can find?  (The focus here is on YOU.  Multiple correct answers possible.)
Bonus #4:  See #17 above.  What other attritbute(s) does/do the 3 numbers there share?  (Guess what?  Multiple answers possible.)

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