REMINDERS: Answers in red. Solvers (submitted/correct) in blue. (Forgive any omissions, but feel free to inform.) Comments in green. For further elaboration, please feel free to ask!
- Why are some folks already looking forward to Jan 1, ’23 at 5:08:13? The date lists the first 7 digits of the Fibonacci Sequence. (1,1,2,3,5,8,13,21,34, . . .) Rita Barger, Amy Ragsdale.
- What is an interesting feature of the three words job, polish, and herb? (Yes, probably lots of ‘correct’ answers.) They each have different meanings when capitalized. (Similar versions accepted.) Rita Barger, Amy Ragsdale, Frank Green.
- Find a number less than 100 that is increased by one-fifth of its value when its digits are reversed. 45 Rita Barger, Amy Ragsdale, Frank Green, Dan Felshin.
- You close your book, forgetting to put in a bookmark, but you remember (who knows why?) that the product of the pages is 16002. What were the page numbers? 126 & 127 Rita Barger, Amy Ragsdale.
- A square plot of 160 acres is surrounded by a fence of total length 2 miles. How large a square plot will a fence of four miles surround? 640 acres. (Doubling one side of a square quadruples the area.) Rita Barger, Amy Ragsdale, Don Hayes.
- In what order are the following digits? 0, 2, 3, 6, 7, 1, 9, 4, 5, In reverse alphabetical order, considering the digits’ spellings. Rita Barger, Amy Ragsdale.
- Al, Joe, Carl, and Dave were standing in line. Dave was not first, Joe was between Al and Carl. Al was between Dave and Joe. In what order were they standing? Carl, Joe, Al Dave. Rita Barger, Amy Ragsdale, Frank Green, Dan Felshin
- This BT is stated as a question, so let’s go with it. If you think the answer is YES, solve it. If you think it is NO, tell why.
NO, It cannot be solved. Briefly, the sum of 3 odd numbers is never even. Rita Barger, Amy Ragsdale, Frank Green, Don Hayes, Dan Felshin - 1 + 1 + 1 x 0 + 1 + 1 = ____4____ Rita Barger, Amy Ragsdale, Frank Green.
- 10.You have $6.60 in dimes and quarters (only). If there are 36 coins how many quarters to you have? 16 dimes and 20 quarters. Rita Barger, Amy Ragsdale, Frank Green.
- What is exactly (in fraction form) the sum of ½ and ¼ ? 3/4. Rita Barger, Amy Ragsdale, Frank Green.
- Your “I Love Math” club contains 6 men and 4 women. How many different committees of 2 men and 3 women are possible? 60. Amy Ragsdale.
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How many squares (of any size) are in the drawing below? 40 Rita Barger, Amy Ragsdale.
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X is Y’s brother, but Y is not X’s brother. Who is Y? X’s sister! Rita Barger, Amy Ragsdale, Frank Green.
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How many cards must you draw from a standard 52-card deck to be sure that at least two are from the same suit? 5. Rita Barger, Amy Ragsdale
The missing digit is 8. (These are the 1st 12 digits in the decimal representation of PI.) Rita Barger, Amy Ragsdale
BONUS 1: See #13 above. How many rectangles are in the picture. (I don’t know this answer! It just came up in the Fun With Math Class. I’d LOVE to hear your conjectures.[I’ve heard one already.]) 118?? I’ve got question marks because this is a relatively new problem to me (proposed by Kurt Killion), so I don’t have an official answers. HOWEVER, both Kurt Killion and Amy Ragsdale have come up with 118 now. And, I’ve seen Kurt’s work and can’t find any flaws. I may carry this over to next time to give others time to confirm 118, or come up with another answer (along with reasoning.)
BONUS 2: See #15 above. How many would you have to draw to make sure you had at least 2 hearts? 41. Rita Barger, Amy Ragsdale