AMC8,--,2006年真题解析( 三 )
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Answer: B
Solution:
760*45-760*30=760*15=11400.
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Answer: C
Solution:
we set up an equation and solve.
Let x be the number of pages that Chandra reads. 30*x=45*(760-x) thus x=456.
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Answer: E
Solution:
The amount of pages Bob ,Chandra ,and Alice will read is in the ratio :9. Therefore ,Bob ,Chandra ,and Alice read 160 ,240 ,and 360 pages respectively. They would also be reading for the same amount of time because the ratio of the pages read was based on the time it takes each of them to read a page. Therefore ,the amount of seconds each person reads is simply 160*45=7200.
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Answer: B
Solution:
In order for Jeff to have an odd number sum ,the numbers must either be Odd + Odd + Odd or Even + Even + Odd. We easily notice that we cannot obtain Odd + Odd + Odd because spinner Q contains only even numbers. Therefore we must work with Even + Even + Odd and spinner Q will give us one of our even numbers. We also see that spinner R only contains odd ,so spinner R must give us our odd number. We still need one even number from spinner P. There is only 1 even number: 2. Since spinning the required numbers are automatic on the other spinners ,we only have to find the probability of spinning a 2 in spinner P ,which is clearly 1/3.
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Answer: D
Solution:
The surface area of the cube is 6*3*3=54. Each of the eight black cubes has 3 faces on the outside ,ng 3*8=24 black faces. Therefore there are 54-24=30 white faces. To find the ratio ,we evaluate 30/54=5/9.
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Answer: D
Solution:
Since triangle ABD is congruent to triangle ECD and CE=11 ,AB=11. Since AB=BC ,BC=11. Because point D is the midpoint of BC ,BD=11/2=5.5.
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