Brain Teasers – March/April ’21

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

1. Consider π, 3.14, and 22/7. Write them in order from smallest to largest, or, if any are equal, mark EQUAL in appropriate spots..
2. Are there any days this year (’21) where the day# times the month# = the year# [21]?
3. When if ever, is 1/x  bigger than x? 
4. When, if ever, is a number less than its square?  
5. See picture and question ->
   
6. A cubic foot of air weighs 0.0765 pounds. What is the weight of the air in a 20 x 30 x 10 foot classroom?
7. Halley’s Comet appeared in 1758, 1834, 1910, and 1986. When will it next appear?
8. If grasshoppers can jump 59 times their length, how far can a 1.5 inch grasshopper jump?
9. This past Saturday was 4/3/21. Let’s call that a ‘countdown day’.  When will the next ‘countdown day’ happen?
10. A penny weighs approximately 0.1 ounce. Using that figure, how much would a ton of pennies be worth?
11. What is the perimeter of a square that has the same area as a 4 cm x 9 cm rectangle?
12. 
13. There are (at least) two 2-digit numbers that are equal to 7 times the sum of their digits. Find at least one of them.
14. Write the numeral for the number eight billion, forty thousand, two.        BONUS 1 See # 13 above.  Can you  find more than two such numbers?
    BONUS 2  Note that it takes 6 syllables to pronounce Kansas City Royals. but only 5 to pronounce St. Louis Cardinals.  On the other hand pronouncing either New York Yankees or Boston Red Sox only takes 4 syllables.  Lets take Major League Baseball, and add NFL football teams for fun, as well.  What are the extremes on syllables for City and Mascot?  Hurriedly, I can think of one team that takes 7 syllables, and one team that only takes 3.  Can you find them?  Can you find teams with more than 7? Or less than 3? (Submitted already: 2 or 3 teams with 7, 2 or 3 teams with more than 7 and 2 or 3 with only 3.  Are we missing any?  Join the fun!)
    BONUS 3 Did you see Dean Martin’s Fun Fact involving 80 beers and your birth year?  🙂  Can you explain how it works? [See also note at link for more precise updates.]
    BONUS 4  See #10.  How much would those pennies weigh?  (Be alert!)