You’re shown random numbers one at a time, and you must guess how each next number will compare to the previous one: Will it be higher or lower? How do your chances of prediction evolve?| thefiddler.substack.com
You’re racing against the clock … and fate. As you’re randomly assigned one of four looping trails, how far can you expect to run?| Fiddler on the Proof
A casino offers vouchers for an even-money game. What’s the most you can earn in guaranteed winnings? What’s the most you have at least a 50-50 chance of winning?| thefiddler.substack.com
You’d like to share an embrace. You just don’t want to be caught on camera.| thefiddler.substack.com
Place a unit square in a larger square region. If you do this cleverly, how large a region can you have such that you can’t add any more unit squares? What if you initially place three unit squares?| thefiddler.substack.com
I've had enough of the subjective rankings in college football. So I'm proposing something better, using math (of course).| thefiddler.substack.com
This year’s Tour de France may already be decided. But the Tour de Fiddler remains in need of some serious solving!| Fiddler on the Proof
Some friends arrive at the mall at random times within a one-hour window, each waiting 15 minutes. On average, what’s the maximum number of friends simultaneously at the mall?| Fiddler on the Proof
It also happens to be the Fourth of July. This week, you’ll be counting the equilateral triangles on a Dozo board and parallelograms on the American flag.| Fiddler on the Proof
The code for a vault happens to be written in Roman numerals, which is no problem. But there are no spaces between digits, which is indeed a problem. How many distinct codes are possible?| Fiddler on the Proof
You’re trying to mow a circular patch of lawn with straight passes of your lawnmower. If you mow as much of the remaining grass as possible with each pass, how long will it take you to finish?| Fiddler on the Proof
You run half a race, then speed up a little. You run half of the remainder, then speed up a little more. If you keep doing this, how fast will you run the entire race?| Fiddler on the Proof
You draw seven circles, one at a time. Each new circle’s center can’t be inside any of the previously drawn circles. How small can their combined area be?| Fiddler on the Proof
A spider randomly picks two points within a square, connects them with silk, and extends the connection to the square's edges. Which points are most likely to be on the strand?| Fiddler on the Proof
Sometimes, everything just lines up. Even the spaces on a massive page of text.| Fiddler on the Proof
How many paths can you find down a pyramid? (Okay, it’s really a rhombus.) What about a bipyramid? (Yes, it’s really a bipyramid.)| Fiddler on the Proof
A famous sports personality recently commented that winning a best-of-seven series in five games is closer to a sweep than going to seven games. But what does the math say?| Fiddler on the Proof
After booking three rides at a theme park, you can reserve one additional ride after each one you complete. On average, how many rides will you complete in a day?| Fiddler on the Proof
You are peering between trees positioned on an infinite grid. Where are the largest gaps between them that you can see?| Fiddler on the Proof
I used math to fill out my NCAA basketball brackets. But to keep things interesting, I picked the underdog whenever they were within striking distance of the favorite.| thefiddler.substack.com
What’s the fewest pins needed to break 100? And if two players knock over the same number of pins, what’s their greatest possible difference in score?| thefiddler.substack.com
