Friday, February 24, 2012

Thursday, February 16, 2012

Problem-Solving Strategies:"Date" Word Problem

1, Mathcounts chapter–coundown-50-2007(52)
January 1, 2007 was a Monday.  In 2007, how many Friday are there?
2,AMC8-2002-5
Mary was born on Sat. Nov. 9, 2002, on what day of the week will Mary be 706 days old
3,AMC8-2008-3
If Feb. is a month that contains Friday the 13th, what day of the week is Feb. 1


Worksheet1



Tuesday, February 14, 2012

Mean, Median and Mode


1, school-sprint-21-2008(94)
Thomas took three 100-point quizzes, and the mean score for three quizzes was 87 points.  If the highest score is taken away, the mean of remaining two scores would be 83.5 points.  If the lowest score is taken away, the mean of the remaining two scores would be 89 points, What is the highest score?

2, school-sprint-9-2008(4796)
A set of five distinct positive integers has a mean of 1000 and a median of 100.  What is the largest possible integer that could be included in the set?

3, chapter-target-4-2007(13)
Six years ago a vacant lot was turned into a park.  At that time 46 trees were planted.  Three years ago 50 trees were planted in the park, and 60 trees were planted in the park today.  Each tree was planted as a seed.  Assuming that all of these planted trees survive and no other tree are added in the next 10 years, what will be the average age of the trees in the park 10 years from today?  Express your answer to the nearest whole number.
4, chapter-sprint -7-2007(1)
The mean of four distinct positive integers is 5,  If the largest integer is 13, what is the smallest integer?
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Friday, February 3, 2012

Problem-Solving Strategies: "Distance" and "Work" Word Problem

Distance= Rate X Time
D = RT

"Distance" Word  problem

1, chapter-sprint-24-2007(10)

Grady rides his bikes 60% faster than his little Noah.  If Grady rides 12 miles further than Noah in two hours, how fast does Noah ride?

If the rate of Noah is R, the rate  of Grady is 1.6R
1.6R x2 =2R + 12
Therefore, The rate of Noah is 10 

2, AMC10A-2002-12(48)
Mr. Earl E. Bind leaves for work at exactly 8:00 A. M. every morning. When he average 40 miles per hour, he arrives at his workplace three minutes late. When he averages 60 miles per hour, he arrives three minutes early. At what average speed, in miles per hour, should Mr. Bird drive to arrive at his workplace precisely on time?
Since D = RT 
40(t+3/60)= 60(t- 3/60) , therefore t=1/4(hour), d=24(mile)
R=d/t=24/(1/4) = 48 (mile)
"Work" Word Problem
1, chapter-team-10-2007(462)

Bricklayer Ben places 42 bricks per hour. Bricklayer Bob places 36 bricks per hour. Bricklayer Bob worked twice as many hours as Bricklayer Ben, and the two of them placed a total of 1254 bricks. How many bricks did Bricklayer Ben place?

If Bricklayer Ben works for t hours, then
Bricklayer Ben places 42t (bricks)
Bricklayer Bob places 36 x2t=72t(bricks)
Together
42t72t =1254,   therefore t= 11
Then we knowBricklayer Ben places 42t =42 x11=462 

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