Wes Carroll's Puzzler
Sun, 05 Apr 2020 04:26:00 0400
http://www.wescarroll.com/puzzler
enus
℗ & © 2020 Wes Carroll's Puzzler
Wes Carroll
episodic
false
math, puzzles, puzzle, puzzler, AMC, riddles, problemsolving, math contest, math competition
Wes Carroll
wes@wescarroll.com
https://storage.buzzsprout.com/variants/dzd4oDLKac8sCovSrjuf8vn8/8d66eb17bb7d02ca4856ab443a78f2148cafbb129f58a3c81282007c6fe24ff2?.jpg
Wes Carroll's Puzzler
http://www.wescarroll.com/puzzler

24: Santa's big sleigh [****]
24: Santa's big sleigh [****]
Wes Carroll
A parking lot has 16 spaces in a row. Twelve cars arrive, each of which requires one parking space, and their drivers choose their spaces at random from among the available spaces. Santa Claus then arrives in his oversized and very full sleigh, which re...
Buzzsprout455060
Sun, 25 Dec 2016 00:00:00 0500
239
combinatorics, probability, isomorphism
full
false

23: Your prime choice [***]
23: Your prime choice [***]
Wes Carroll
What’s the largest 2digit prime factor of “200 choose 100”?
//
Spiciness: *** out of ****
Buzzsprout439246
Sun, 06 Nov 2016 00:00:00 0400
298
prime, factorial, combinatorics
full
false

22: Split the check [*]
22: Split the check [*]
Wes Carroll
Last week, two of my friends and I went to a restaurant and had a lovely meal. We decided to evenly split the check, so we asked the waiter to just combine the totals. However, when the waiter came with the check, he revealed that there had been a mista...
Buzzsprout415914
Sun, 02 Oct 2016 00:00:00 0400
161
systems of equations, symmetry
full
false

21: The faulty odometer [***]
21: The faulty odometer [***]
Wes Carroll
A faulty car odometer proceeds from digit 3 to digit 5, always skipping the digit
4, regardless of position. For example, after traveling one mile the odometer
changed from 000039 to 000050. If the odometer now reads 001729, how many
miles has the ca...
Buzzsprout415913
Sun, 04 Sep 2016 00:00:00 0400
160
counting systems
full
false

20: The middle digit [**]
20: The middle digit [**]
Wes Carroll
How many threedigit numbers satisfy the property that the middle digit is the average of the first and the last digits?
//
Spiciness: ** out of ****
Buzzsprout415911
Sun, 28 Aug 2016 00:00:00 0400
171
parity, combinatorics
full
false

19: The token tax [**]
19: The token tax [**]
Wes Carroll
A game is played with tokens according to the following rule. In each round, the player with the most tokens gives one token to each of the other players and also places one token into a discard pile. The game ends when some player runs out of tokens. P...
Buzzsprout410176
Sun, 14 Aug 2016 00:00:00 0400
164
iteration, paperwork, game theory
full
false

18: The circular track [***]
18: The circular track [***]
Wes Carroll
Brenda and Sally run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 150 meters past their first meeting point. Each girl runs at ...
Buzzsprout405403
Sun, 31 Jul 2016 00:00:00 0400
394
invariants, perspective
full
false

17: The red one [***]
17: The red one [***]
Wes Carroll
My perpetually tricky friend told me that while she was walking through town she saw four particularly vibrant houses. There was an auburn one, a brick one, a cherry one, and one the shade of dogwood rose. She wanted me to figure out the order of the ho...
Buzzsprout400461
Sun, 24 Jul 2016 00:00:00 0400
215
game theory, incomplete information, decision trees
full
false

16: In 80 days [*]
16: In 80 days [*]
Wes Carroll
A friend of mine told me that she can walk a mile south, a mile east, a mile north and end up back home. I first thought she lived at the north pole, but she laughed and told me that, since there was no land there, she would be unable to make the walk. ...
Buzzsprout400420
Sun, 17 Jul 2016 00:00:00 0400
267
coordinate plane, branes
full
false

15: Coats of paint [***]
15: Coats of paint [***]
Wes Carroll
Working alone, I put two coats of paint on a wall, one before lunch and one after. Yesterday, I began at the usual time. Two hours before lunch I was joined by my good friend Aidan, who paints at the rate of 600 sqft per workday, and who left just as t...
Buzzsprout388476
Sun, 03 Jul 2016 00:00:00 0400
221
deduction, symmetry
full
false

14: O gnats, tango! [**]
14: O gnats, tango! [**]
Wes Carroll
Earlier this week I was rob...er...exploring tombs and I accidently triggered a trap that locked me in a room. With me are a pair of plates, a few thousand tiny statues of gnats and a puzzle that should lead to my escape. I need to place specific number...
Buzzsprout388474
Sun, 19 Jun 2016 00:00:00 0400
211
palindromic numbers
full
false

13: Order of operands [*]
13: Order of operands [*]
Wes Carroll
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been had she worked the problem correctly?...
Buzzsprout388468
Sun, 05 Jun 2016 00:00:00 0400
490
working memory, inverses
full
false

12: One light switch [****]
12: One light switch [****]
Wes Carroll
For years you were a lonely prisoner here. But earlier today, you were brought to a courtyard to join the others, where you are all addressed by the Warden. There have been budget cuts, he explains, and the one hundred of you need to leave this facili...
Buzzsprout385890
Sun, 29 May 2016 00:00:00 0400
348
algorithm
full
false

11: The loopiest puzzler [***]
11: The loopiest puzzler [***]
Wes Carroll
I have four lengths of rope. I hold them so that you can see all eight ends, but you can’t tell which end connects to which other end. You pick a pair of ends, and I tie them together. We repeat  you pick, I tie  until we run out of ends.
//
Wh...
Buzzsprout383730
Sun, 22 May 2016 00:00:00 0400
180
invariants, expected value, probability, WLOG
full
false

10: Eight's too many [**]
10: Eight's too many [**]
Wes Carroll
In the eightterm sequence "a, b, c, d, e, f, g, h", c represents 5, and the sum of any three consecutive terms is 30. What’s a+h?
(Spiciness: ** out of ****)
Buzzsprout381598
Sun, 15 May 2016 00:00:00 0400
374
symmetry, sequences
full
false

09: Coin flip winner [***]
09: Coin flip winner [***]
Wes Carroll
We’re going to play a simple coinflip game. We take turns flipping a fair coin. The first one to get “heads” wins. You go first.
//
What’s your chance of winning?
//
Spiciness: *** out of ****
Buzzsprout379395
Sun, 08 May 2016 00:00:00 0400
394
logic puzzle, number theory, prime factors, parity
full
false

08: Strawberry ice cream [***]
08: Strawberry ice cream [***]
Wes Carroll
A friend of mine has pictures of his three daughters on his mantle. He took the pictures when each of the girls was a particularly adorable age — the same age for all three of them, as it happens. Unfortunately, this made it impossible for me to determi...
Buzzsprout374681
Sun, 01 May 2016 00:00:00 0400
201
siblings
full
false

07: Kiana's twin brothers [*]
07: Kiana's twin brothers [*]
Wes Carroll
Kiana has two older twin brothers. The product of their three ages is 128. What is the sum of their three ages?
//
Spiciness: * out of ****
//
(Today’s puzzler comes from the 2009 AMC 10 exam. Learn more at dtmath.com/amc.)
Buzzsprout374678
Sun, 24 Apr 2016 00:00:00 0400
197
AMC, siblings
full
false

06: That sounds accurate [***]
06: That sounds accurate [***]
Wes Carroll
You have just tested positive for a condition known to affect 1% of the population. However, your doctor assures you that the test for this condition is only 90% accurate. You’re not sure whether that’s supposed to make you feel better or not. So, yo...
Buzzsprout370946
Sun, 17 Apr 2016 00:00:00 0400
155
test accuracy, conditional probability, Bayesian reasoning
full
false

05: Ted's three statements [**]
05: Ted's three statements [**]
Wes Carroll
Ted has three numbered statement for us to consider, and he wants to know whether the third one is true. Here they are:
//
1. There are three numbered statements.
2. Two of the three statements are false.
3. You know the answer to the question.
...
Buzzsprout370942
Sun, 10 Apr 2016 00:00:00 0400
124
logic puzzle
full
false

04: Many stuffie lines [*]
04: Many stuffie lines [*]
Wes Carroll
You have four stuffed animals. You line up three of them at a time, always single file. How many distinct lineups are possible?
//
Bonus points if you also tell me the number of distinct ways you can arrange them in a circle instead of a line.
//
...
Buzzsprout368725
Sun, 03 Apr 2016 00:00:00 0400
461
math puzzle, combinatorics, permutations
full
false

03: Two square dice [***]
03: Two square dice [***]
Wes Carroll
(Errata alert! This episode was reuploaded with a correction on Monday March 28 at 10am PST. The corrected version is 6m04s long; the old one is 6m02s. Visit http://www.buzzsprout.com/56982 if your feed contains the old version.)
//
Here's a game yo...
Buzzsprout364431
Mon, 28 Mar 2016 00:00:00 0400
364
math puzzle, perfect squares, number theory, infinite sequence
full
false

02: Glass half full? [*]
02: Glass half full? [*]
Wes Carroll
I have two cylindrical glasses that, when full, hold the same amount of water. The short glass has a radius that is half again as large as the tall one’s. Last night, I filled the short one completely, and then I filled the tall one to exactly the same ...
Buzzsprout364406
Mon, 21 Mar 2016 00:00:00 0400
173
ratios, puzzle, math, volume
full
false

01: Peyton's great score [*]
01: Peyton's great score [*]
Wes Carroll
Welcome to the podcast! Here are the rules, and the first puzzle.
//
Mr. Patrick teaches math to 15 students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was 80. After he graded ...
Buzzsprout362229
Mon, 14 Mar 2016 00:00:00 0400
136
averages, paperless, difficulty: Monday
full
false