When I posted that question writing contest a few weeks back, I thought I’d get some pretty good stuff. Because you guys are smart. And then, for a little while, not much happened. I was all </3. But then some great stuff started rolling in and I was all \(*o*)//. I bet, reading this paragraph, you’re all o_O. Right?
To the submissions!
From Debbie Stier:
- Candy bars were passed out among 10 students. If the average (arithmetic mean) number of candy bars that the students received was 11, what is the greatest possible number of candy bars that one student could have received?
Commenter Katie (fresh off a weekend challenge win) posted a few great grid-ins, too:
- Dan wrote a 7 digit phone number on a piece of paper. He tore the paper accidentally and the last two digits were lost. What is the max number of arrangements of two digits, using digits 0 through 9, he could use to find the correct number?
- If x + (1/x) = 4, what is the value of x2 + 1/(x2)?
- The lengths of the side of an isosceles triangle are 30, n, n. What is the smallest possible perimeter of the triangle?
- If (a/4) + (b/8) + (c/24) = 1, what is one possible value for abc?
And of course, this great question was submitted to me by email.
- Some of these require some teensy clarifications before they’re ready for prime time.
- I have no solutions!