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Easy to visualize but challenging to solve: that's the kind of math puzzle you get here, one per episode. (Do you love the Car Talk Puzzler too? Yeah, that's what I'm trying for here, only w...
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...
What’s the largest 2-digit prime factor of “200 choose 100”? // Spiciness: *** out of ****
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...
A faulty car odometer proceeds from digit 3 to digit 5, always skipping the digit 4, regardless of position. For example, after traveling on...
How many three-digit numbers satisfy the property that the middle digit is the average of the first and the last digits? // Spiciness: ** ou...
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...
Brenda and Sally run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after Brenda has...
My perpetually tricky friend told me that while she was walking through town she saw four particularly vibrant houses. There was an auburn o...
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 no...
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 lu...
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,...
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 divid...
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 addresse...
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 p...
In the eight-term 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? (Spicines...
We’re going to play a simple coin-flip game. We take turns flipping a fair coin. The first one to get “heads” wins. You go first. // What’s...
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...
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 ****...
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...
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 thre...
You have four stuffed animals. You line up three of them at a time, always single file. How many distinct lineups are possible? // Bonus poi...
(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 o...
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 t...
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...