Wednesday, February 10, 2010

Math Question #10

My favorite math problem is number 10.
#10: The sum of nine sonsecutive positive integers is 99. THe largest of these integers is: (a)9 (b) 11 (c)19 (d)7 (e)15
I like this problem because there are many different ways to solve the problem. You can take the more mathematical way, or you can do the simple guess and check and still get the answer.
You can use the method of:
x + x+1 + x+2 + x+3 .... etc and find the answer.
Or you can use the formula of finding the sum of the sequence.
And you can use the method of guess and check. Even if you're not sure if the answer is right, you can always plug in the numbers to see if its right.

In the end the anser is (E) 15.

7+8+9+10+11+12+13+14+15=99

Thursday, February 4, 2010

Tower of Hanoi



Mr Cheng today showed us a game called Tower of Hanoi.
At first i tried trial and error and it took me a very long time, and i did almost twice as many moves than the minnimum. After you think about it, there is a pattern and strategy. Once you figure out the pattern for the 3 and 4 rings, you do the same for the 5 rings.
Or, if you get stuck, you could cheat and look at the solution and copy it ^^.
Overall this game is hard at first, but once you think about it, it is easy to beat.