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2014年12月17日数学练习

时间:2014-12-17 19:32:11  来源:  作者:

2014年12月16日数学练习参考答案  

1.Correct Answer:  D


 

Explanation:


 

Multiplying two negatives (or any even multiple) results in a positive. But multiplying three
negatives (or any odd multiple) gives a negative. If the result of multiplying 6 negatives is odd,
the largest number of negative integers will be the largest odd number (i.e.5)


 

2.Correct Answer:  A


 

Explanation:


 

You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples
of 5. So we have n = 9 , 12, 17, 22 etc.

From this series we can see that n does not have to be odd.

Also n + 1 can be a prime because, for example, 12 + 1 = 13

And (n + 2) / 7 has a remainder 2 in some cases but not all.

Remember the question asks us for what MUST be true, and we see that none of the statements are
true in all cases.

 

2014年12月17日数学练习

1. A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?


 

A. 30

B. 24

C. 12

D. 8

E. 6


 

2. Line l contains the points (3,1) and (4,4).

If line m is a different line, parallel to line l in the same coordinate plane, which of the following could be the equation of line m?


 

A. y = 3x - 8

B. y = 1/3x - 3

C. y = -3x - 8

D. y = 3x + 1

E. y = -8x + 3

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