March 2010
1 post
Answer to Puzzle #10
Well, it took us a long time to come back to this one. We were hoping for some answers, but evidently the problem seemed too complex. Here’s the problem for those of you who didn’t read it:
Happy Mother’s Day!
Little Johnny wanted to get his mother a gift for Mother’s Day. Unfortunately he only had 96 cents. Johnny decided that he had 4 possible solutions to his problem:
Spend...
February 2010
1 post
AMC 10 2007 A Problem 20.
If a + a-1 = 4 then what does a4 + a-4 equal?
Taken from WSMC 2010
What is the sum of the coefficients in the term (1 + 2x + 3x2 – 4x3)10?
January 2010
3 posts
Happy Palindrome Day
Today is Jan 1, 2010. or 01/02/2010 when put together gives us. 01022010 which is a palindrome. The question is how many such days are there up till today, and how many in this millennium?
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Happy New Year
Whew. It’s been a long time since our last post. A really long time. Not to worry, though we shall try to keep posting. This is not really a puzzle, i woke up this morning and it came to my head. Solve for x: The answer is: or So you have the answer, and the problem. Send ur answers and we’ll pick the best one to the question : Why?
1.2.10: This is false. Sorry, Chimayo is a...
November 2009
1 post
October 2009
3 posts
Ready, Set, Go ... Wait I Don't Have A Watch!
Chimayo has two candles with him. These candles made by Alec look nothing alike and the wax is of varying thickness and do not burn consistently (i.e. it’s possible that in the first minute 90% of the candle is burnt and in the last 59 minutes the rest is burnt). But Alec however guarantees that each candle burns for exactly one hour. Now Chimayo wants to time 30 minutes because Alec wants...
The Rare Illness and the Cure
One day Alec wakes up feeling slightly queasy. He goes to his doctor, Chimayo who tells him that he has caught a serious disease that will leave him as dead as a doorknob. But there is a cure. The cure is to take one A pill and one B pill everyday for 15 days. The doctor has luckily only 15 pills, and there is no one else in the world who can get pills to Alec within 15 pills. So Alec goes home...
September 2009
2 posts
1 tag
August 2009
1 post
“e^(i*pi) = -1”
– (via crashfusion)
June 2009
2 posts
4 tags
#11: Solution →
The answer is 21050.5
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#11: Math Party
Alec has been cordially invited to Chimayo’s Math Party. Alec starts off at his home which is 13 miles east and 8 miles south of Chimayo’s house. As Alec steps out the door of his house, he remembers that in any cordial Math Party one must always bring some stream water. The stream is perfectly straight and runs east to west. The stream however is 18 miles south of Alec’s house....
May 2009
1 post
2 tags
Puzzle #10: Mother's Day Malady
Happy Mother’s Day!
Little Johnny wanted to get his mother a gift for Mother’s Day. Unfortunately he only had 96 cents. Johnny decided that he had 4 possible solutions to his problem:
Spend his money on his lottery ticket. In this scenario there is a 9/10 chance he will lose all his money, a 1/20 chance he will double his money, an 0.049999999 chance he multiply his money by 10, and...
April 2009
1 post
1 tag
Solution 9 →
March 2009
3 posts
2 tags
This will exist!/puzzle #9
Yeah we’re lazy people so we stopped doing this but now we will. K? We don’t know the schedule yet but Math Puzzles will be up and running soon. For now:
Prime factorize 102828. No cheating! (calcs allowed)
(alec
π Day →
Square Root Day!(3/3/09) →
102828:
(via LH)
January 2009
17 posts
9 tags
MathPath Camp →
This is a very interesting camp for Math students. Chimayo is applying for this camp, and it seems very interesting. I would encourage everyone of our users to work on these problems. Remember that the problems cannot be discusssed so we will not be blogging hints or answers. Have Fun!
Chimayo
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Puzzle #8: Solution →
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Puzzle #7: Solution →
Puzzle #6: Solution →
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Puzzle #7: MP3 Quality
None of the below facts are necessarily true.
Given the information that:
The files size of an MP3 is directly proportional to it’s bit rate
An MP3 of a track with the same file size as the uncompressed AIFF of the track has the same quality as the AIFF
FLACs have the exact same quality as an uncompressed AIFF of the same file at 54% of the file size
If you have a copy of Bon...
Puzzle #6: 5 card flush
Chimayo and Alec are player 5 card poker.
Alec scored a straight-flush in the first game
Incidentally enough, so did Chimayo.
The amazing part is that Chimayo scored a higher straight-flush than Alec in the same suit
What is the probability of this happening?
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Puzzle #4: Solution (irrational square root of 2) →
Sorry for not posting yesterday! With the relaxed days of winter break long gone, we’ve decided to drop down to just 2 puzzles a week for the time being. Hopefully by doing this we can fill our goal of presenting quality, if not quantity (ack! cliche!).
Being tired and lazy tonight, here is the link to the proofs on Wikipedia. I highly suggest the one labeled, “Proof by Infinite...
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Puzzle #3: Solution →
:)
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Puzzle #4: sqrt (2)
Prove the square root of 2 is irrational.
Rational numbers are those that can be expressed by a ratio of 2 numbers (fractions and integers).
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Puzzle #2: Solution →
Sorry, this came up so late, it took a very tempting ski ride to stop me from posting this
Puzzle #3: Slicing Cubes →
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Puzzle #1: Solution →
Sorry for repost. First one got deleted in a wild fiasco involving wild rhinos as well as a certain insane lemur.
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Puzzle #2: Alec, Bamilu, and Chimayo dig a well
Alec, Bamilu, and Chimayo need to dig a well. If all of them were working together it would take them one hour to dig the well. If Alec and Bamilu would work then it would take them one and a half hours. If Bamilu and Chimayo would work then it would take them two hours. But actually only Alec and Chimayo are working. How long would it take for them to dig the well?
Solution
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