Monday, February 14, 2011

a@b

1, If a #b = 2a + b for all a and b, then what is the value of 4#3?
2x4+3 =11

2, school-coundown-28-2007(-4)

If x@y-=xy-2x, what is the value of (5@3)-(3@5) ?
(5x3-2x5)-(3x5-2x3)=-4

3,,AMC8-2001-12
if a@b=(a+b)/(a-b) then (6@4)@3=?

4, The operation # is defined as a # b = a + a/b. What is the value of 6 # 2?

Sunday, February 13, 2011

Math meeting 2-13-2011

The math league contest is coming.
You can find practice test and solution here

MathLeague-SampleContest
======================================================================


Hi,

Today we have done math league 8th grade practice test
There are some important concepts in this test
1, Arithmetic sequence: question#24, #36

2,Rational of two similar figure :question#25
http://lin-mathclub.blogspot.com/2011/02/ratio-of-two-similar-figures.html

3,Finding zero:question#40
http://lin-mathclub.blogspot.com/2011/02/factorials-and-trailing-zeroes0.html

4,counting coin:question#21
http://lin-mathclub.blogspot.com/2011/02/problem-solving-strategies-counting.html

ratio and rate, dimensional change(#22)

We review some problems and correct test during the meeting
Please finish
1, the note for math league
2,redo the test again
3,continue to review arithmetic sequence and series(attachment)
the solution is in




Problem-Solving Strategies: Counting Coins

Application Word Problem


1, chapter-sprint-18-2007(20)
A customer ordered 15 pieces of gourmet chocolate.  The order can be packaged in a small box that contains 1,2, or 4 pieces of chocolate.  Any box that is used must be full.  How many different combinations of boxes can be used for customer’s 15 chocolate pieces? One such combination to be included is to use seven 2-piece boxes and 1-piece box.

2, schoolr-sprint-24-2008(13)
In how many ways can U.S. coins be combined to total 26cents?

How to solve this kind of problems?

Start with the largest value, 
More study:
Problem-Solving Strategies: Counting Coins

Friday, February 11, 2011

Ratio of two similar figures:

Ratio of Two Similar figures:

If the ratio of the measures of corresponding side length is A:B,

Then the ration of the perimeter is A:B,

the ratio of the area is A^2:B^2

the ratio of the volume is A^3:B^3


More study

Ratio of two similar figures

Factorials and Trailing Zeros



Application problems
1,Find the number of trailing zeros in the expansion of 23! (4)
2, Find the number of trailing zeros in 101!(24)
3,Find the number of trailing zeros in the expansion of 1000!(249)
4, chapter-coundown-5-2007(2)
What is the hundred digit in the following product: 5x6x7x8x9x10?
5, chapter–coundown-37-2007(12)
Suppose that 50! Is written in the form N x10^x, where N is an integer. What is the largest possible value of x?

More Study: