Podcast – 05: Ted’s three statements

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. // So: is Statement 3...

Podcast – 04: Many stuffie lines

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. // Spiciness: * out of...

Podcast – 03: Two square dice

(Errata alert! This episode was re-uploaded 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 you can play...

Podcast – 02: Glass half full?

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 level. // How...

Podcast – 01: Peyton’s great score

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...