Monday, April 10, 2017

Math Team Challenge 4/10/17

Math Team Challenge

Hi All. So, I have to admit that I may have got a little excited with the Pi Day Challenge. It was maybe a little bit of hard. A big congratulations to Elena Miller - the only person to solve!
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This challenge should be a little more manageable. Winner get to choose a prize from the prize bin. There's some Laffy Taffy looking for a good home, but you have to solve- don't forget to show your work!

Answer Me These Questions Three...

1. Classic Riddle: You have in front of you a standard balance scale. What is the fewest number of weights that you would need to be able to accurately weigh any object that weighs between one and one hundred pounds?

2. The digits in the number, 42, add to six. There are exactly six 2-digit numbers with this property: 15, 24, 33, 42, 51, and 60. There are twenty 3-digit numbers for which the sum of the digits is six. Can you name them all?

3. Logic Puzzle! At the recent Bradbury Mountain downhill mountain bike race, four entrants entered the challenging slalom event.
Alan came first.
  • The entrant wearing number 2 wore red, whereas John didn't wear yellow.
  • The loser wore blue and Steve wore number 1.
  • Kev beat Steve and the person who came second wore number 3.
  • The entrant in yellow beat the entrant in green.
  • Only one of the entrants wore the same number as their final position.
Can you determine who finished where, the number and color they wore?

Email me (don't reply all!) or come see me in Room 207 with your work to claim your prize.

Mr. Harrington