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Archive for March, 2012

Juiced up

Posted by Chris under MathsChallenge (15 Responds)

Another from the old ToM site. It isn’t a trick question. Make sure you read the question carefully – previous posters made silly mistakes.
There is a party tonight at the Puzzlaria Tavern and Ross asked me to get some orange juice and pineapple juice for the Fruit Punch he is preparing. Being giddy with the [...]

Chicken Little

Posted by Chris under MathsChallenge (23 Responds)

This one’s especially for Knightmare.
If a chicken weighs 10 lbs plus half its weight, how much does the chicken weigh?
The last time this was posted, it got a staggering 112 replies (mostly with the wrong answer). I’ll post a link to it later.

Puzzleworld

Posted by Chris under Tom (4 Responds)

°º¹²³ⁿ αβγδΔεζηθξρσφλμπωΣΩΓψΨ»«☺♠♣♥♦●•∙♪♫ћ√→∞≈≠≡
≤≥‖│± ´∂‼∫⇄⇋∛∷ ¼ ½ ¾ ⅓ ⅔ ⅛ ⅜ ⅝ ⅞ ₁ ₂ ₃ ₄□■¬
MS Reference Sans Serif 9 point regular
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Dominoes on a chessboard

Posted by Zorglub under Tom (2 Responds)

A chessboard has 8×8 tiles, each of them is 1cm x 1cm.  Each domino measures 1cm x 2cm.  The chessboard can easily be covered by 32 dominoes.
Now, I take one domino, cut it in half and glue each half on opposed corners of the chessboard.  Without cutting any of the remaining 31 dominoes, is is [...]

Little 6

Posted by Chris under MathsChallenge (13 Responds)

Here’s a variation on a golden oldie. It was a very similar problem that got me hooked on ToM and caused me to learn about modulo arithmetic. Hey, it’s this or nothing.
What is the smallest positive integer that ends with a 6, becomes 6 times as large when the 6 is moved to the start.
e.g. [...]

Sons and Daughters

Posted by Chris under Logic (40 Responds)

Ransacked from the old site. I’ve only made minor changes to it.
While walking in a park, you encounter an old friend from times gone by. He invites you to dinner to do some catching up.
Between courses you need to use the bathroom, and you enter the hallway upstairs. The door you thought was the bathroom [...]

Sharing marbles

Posted by Chris under MathsChallenge (8 Responds)

A group of children share marbles from a bag. The first child takes one marble and a tenth of the remainder. The second child takes two marbles and a tenth of the remainder. The third child takes three marbles and a tenth of the remainder. This coninues until the last child takes whatever is left. [...]

Bordered mat

Posted by Chris under Mathemagic (10 Responds)

I’ve purloined this from the old site.
A table mat is made from red and white beads. There is an inner rectangle made entirely using white beads. It has a border (on all four sides) made from a single layer of red beads. Which mats can have as many white beads as red beads?
All the beads [...]

100 mathématicians

Posted by Zorglub under Tom (14 Responds)

100 mathématicians go on a trip, in a plane with 100 seats. They buy tickets and distribute them randomly to the group.
One of them is blind, and by courtesy, they let him enter first. Once inside the plane, he realizes that he forgot to ask what is his seat number, so he randomly [...]

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