Time For More Difficult Problems…

Time For More Difficult Problems…

I’ve been doing a podcast of math problems, and the feedback so far is: give us more difficult problems!  You asked, I’ll deliver.  I hope you like them.  Coming Sunday morning as always…

Podcast – 10: Eight’s too many

Eight's Too Many by Wes Carroll https://wescarroll.com/wp-content/uploads/2016/09/10_20Eights20too20many20__.mp3 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?...

Podcast – 09: Coin flip winner

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 your chance of winning? // Spiciness: *** out of ****

Podcast – 08: Strawberry ice cream

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 determine which was...

Podcast – 07: Kiana’s twin brothers

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.)

Podcast – 06: That sounds accurate

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, you tell me:...