Archive for the ‘Math Puzzles’ Category

Math algorithm in programming

Friday, December 25th, 2009

It is often overlooked how much math there is in programming and computer science. For example, my newest site http://www.mmlol.com uses a dynamic sorting and ranking algorithm to determine the most relevant funny links.

mmlol is a collection of user submitted links which must be stored in a database and then ranked by users. The trickiest part is the suggestion algorithm, which I have yet to create.

Train Bullet Problem

Thursday, August 14th, 2008

A man is at the very back of a speedy magnetic train. The man has a gun
that shoots bullets a speed of 3,600 mph(1 mile a second). The man
shoots the gun from the back window of the train in the opposite
direction of where the train is heading. What happens to the bullet if

A)The train is going at 7,200 mph?
B)3,600 mph?
C)1,800 mph?

Part 2
If the man then goes to the front window of the speeding train and
shoots directly in front of the train so that if he didn’t calculate the
physics correctly he would get shot(like facing the wind and spitting),
what must be to let the man survive?

Thanks Roman for this train puzzle!

Speedy Slug Problem

Friday, August 8th, 2008

A speedy slug is at the bottom of the Empire State Building. The slug can crawl 20 feet up each day, but during the night, it slips 15 feet down. How many days will it take for the slug to reach the top if the Empire State Building is 1,472 feet?

Pulley Problem

Thursday, July 31st, 2008

Two identical frictionless pulleys are shown below. The arrow on pulley 2 indicates a 50 pound force. In which pulley system is the acceleration of the 10 pound mass greater?

pulley physics problem

The power of Two

Monday, July 21st, 2008

How can you quickly and easily approximate 232

Circle Problem

Wednesday, July 2nd, 2008

In the following diagram, Line L2 lies tangent to the circle at point Q, and Line L3 lines tangle to the circle at point P. Given that the angles L2 and L3 make with a Line L1 are x, and x+dx respectively, determine the unknown angle in the circle.

circle angle problem

The age game puzzle

Thursday, June 19th, 2008

If Brian is 10, Arabella is 20, and Jim and Neal are both 5, but
Helen is 10, how old is Jennifer?

Remainder Problem

Friday, June 13th, 2008

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

The number is not terribly small, but is not that large either.

Find the smallest number with the stated properties.

To be or not to be…

Friday, May 30th, 2008

blue red green pills
Walking down the street, you are suddenly ambushed by a mysterious time traveller. Introducing himself as Prince Hamlet, and muttering something about hating life, he decides to let fate decide your future. Hamlet presents you with 3 pills, one green, one blue, and one red. Two of the pills are poisonous, and will lead to your certain death, whilst one pill leads to your eventual freedom. To be fair, he tells you about a nuance in his game of chance: After you pick one pill, he will reveal the identity of one of the remaining poisonous pills, and allow you to swap your choice for the last pill. What is the best mode of action, and what is the probability that you will survive the slings and arrows of outrageous fortune?

Problem of the Month

Wednesday, May 28th, 2008

What are the next 4 letters or numbers in this sequence?

J, 1, M, 9, M, 25, J, …