Friday, July 30, 2010

Light Bulb



There are 3 switches at the bottom of a landing of stairs. At the top of the stairs there is a light fixture. From the bottom of the stairs you can’t look up and see the light bulb. How can you determine which of the 3 switches is the one that turns on the light bulb? You can only go to the top of the stairs once to see if the switch turned the light on.

Thursday, July 29, 2010

A Cool Summation


Find the sum of the numbers 1 through 100. Ex. 1+2+3+4+5+6+7+.......99+100 = ? (hint: google the famous mathematician Carl Friedrich Gauss to see his method of quickly summing these numbers, it is pretty cool and can be done in seconds in your head!)

Wednesday, July 28, 2010

3 to the 100th power




What number is in the ones digit when you simplify 3 to the 100th power?

Tuesday, July 27, 2010

6 Quarts of Water


How can you bring up from the river exactly 6 quarts of water when you have only two containers, a 4 quart pail and a 9 quart pail, from which to measure?

Thursday, July 22, 2010

Cafeteria Trading


During lunch, students like to trade their
food. The following exchange rates are
used in the cafeteria: 2 candy bars can be
traded for 3 pieces of pizza, and 1 piece of
pizza can be traded for 4 lollipops. Using
this exchange rate, how many lollipops
would you accept for 1 candy bar? Explain
your reasoning for this exchange.

Saturday, June 12, 2010

The Canoe Problem


There is an adult and two children waiting with a canoe on the bank of a river. They need to cross the river, but aren't sure how. They are each capable of canoeing, but they all together exceed the weight limit and will sink. The canoe is rated for one adult or two children. How can they all cross safely in the canoe?