NOTE: Newest BTs in red, Bonuses in blue, comments in green, updates in purple.
- 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..
- Are there any days this year (’21) where the day# times the month# = the year# [21]?
- When if ever, is 1/x bigger than x?
- When, if ever, is a number less than its square?
- See picture and question ->
- 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?
- Halley’s Comet appeared in 1758, 1834, 1910, and 1986. When will it next appear?
- If grasshoppers can jump 59 times their length, how far can a 1.5 inch grasshopper jump?
- This past Saturday was 4/3/21. Let’s call that a ‘countdown day’. When will the next ‘countdown day’ happen?
- A penny weighs approximately 0.1 ounce. Using that figure, how much would a ton of pennies be worth?
- What is the perimeter of a square that has the same area as a 4 cm x 9 cm rectangle?
- 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.
- 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!)
1. pi, 22/7, 3.17
2. January 21st, March 7th, July 3rd (interesting that the 2021 is not prime since 43 and 47 are factors)
4. When x<-1 and 0<x<1
5. When the number is either less than zero or greater than 1
BT#1…Pi, 22/7, 3.17
BT#2…1-21-21, 3-7-21, and 7-3-21
BT#3…1/x is greater than x if x=0
BT#4…x is less than x squared if x is not equal to 0
Just out of curiosity, on question #1 did you intend for the decimal to be 3.14 instead of 3.17?
Yes, and I plan to edit it next Mailing. (I didn’t do it – a gremlin did!) But people who answer it ‘correctly’ with the 3.17 will also get credit.
BT#5…The shirt has 6 holes; 2 in front, 2 in back (the 2 that are visible on the front must go all the way through because otherwise you’d be able to see material, not the brown color), neck, body, 2 armholes.
BT#6…45.9 pounds.
BT#7…Halley’s comet will appear (be seen from Earth) next in 2062. It appears not to be visible from here today,but it still appears somewhere.
BT#8…The grasshopper can jump 88.5 inches or 7 feet 4.5 inches.
BT#9…May 4, 2032.
BT#10…If a penny weighs .1 oz. a ton of pennies would be worth $3,200.
BT#11…A square of side=6cm will have the same area as a 9cm by 4cm rectangle.
Bonus#2…7 syllables, Philadelphia Phillies and Arizona Diamondbacks
3 syllables, Oakland A’s and New York Mets.
1) 3.14, pi, 22/7
2) Jan. 21, Mar. 7, July 3
3) when -1 < x < 1, x not = 0
(or when x is between -1 and
1 except for 0)
4) x < x^2 when x < 0
(negative numbers)
5) 6 holes
6) 459 lbs
7) 2062 (appears every 76 yr)
8) 88.5 inches
9) 5/4/32
10) $3,200
11) 24 cm
12) (C) 25
13) 21 = 7(2+1) and
63 = 7(6+3)
14) 8,000,040,002
Bonus 1: yes, 84 = 7(8+4)
Bonus 2: 3 syllables- New York
Mets, Cleveland Browns,
New York Jets
7 syllables-Arizona Diamondbacks, Philadelphia
Phillies, Indianapolis Colts,
Philadelphia Eagles
8 syllables-San Francisco
49ers
Bonus 3: I found this will only
work correctly for your age
BEFORE your birthday on any
given year. If you have
already had your birthday,
you need to use 81 (beers).
I can't explain why it works,
but It has something to do
with the number 120. Using
different combinations of
numbers whose sum is 120
also works. (60 & 60, 100 &
20, 50 & 70, etc.)
Bonus 4: a ton of pennies
would weigh 1 TON! 🙂
Steve and I came up with San Francisco Forty Niners (8)
New York Jets/Mets (3)