2006年考试综合辅导之SharpenYourMathSkills
文章来源: 文章作者: 发布时间:2007-10-27 01:39 字体: [ ]  进入论坛
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Whether you’re thinking of a career as an accountant or just trying to balance your checkbook, you face math in some way, shape or form every single day.

  Not only are strong math skills important to doing well in school, they are also critical to your success in everyday life. You have to pay bills; plan for a financially secure future; pay taxes; and you probably split the cable bill with your roommate.

  A Language All Its Own Think of mathematics as its own language. Just like the language of words, grammar, and punctuation1, the language of math is precise. It helps to know as much of the rules, vocabulary, and methods as possible to make informed decisions about problems on a test or in day-to-day life.

  So the main lesson here is to look at the big picture. Look at how individua l parts of a problem relate to a whole. You’ll gain a better understanding of the concepts behind the numbers. And in the process, you’ll gain a better understanding of the world around you.

  Practice Questions

  Try out the practice problems below and see how you do. Each represents some important math concepts that are critical to success at school, on the job, and in life. The answers are below.

  1. In May, Gina sold 40 percent more magazine subscriptions2 than she had in April. In June, she sold 20 percent more subscriptions than she had in May. The number of magazine subscriptions Gina sold was what percent greater in June than in April?

  (A) 60

  (B) 64

  (C) 68

  (D) 72

  (E) 80

2. Directions: Answer (A) if the quantity in Column A is greater; (B) if the quantity in Column B is greater; (C) if the two quantities are equal, or (D) if the relationship cannot be determined3 from the information given

 

  Square A has sides of length x and square B has sides of twice this length.

  Column A

  Area of square A

  Column B

  Half the area of square B

  Answers and Explanations

  1. The correct answer is (C). Since we are not given a number for how many subscriptions Gina sold in April, let’s pick a number. Let’s pick 100. When you have a percent problem and numbers are not provided, you should always pick 100 because it is easy to work with.

  In April, let’s say Gina sold 100 magazines. We are told that in May she sold 40 percent more magazine subscriptions than she had in April so the number she sold in May is 100 plus 40 percent of 100, or 140. In June, Gina sold 20 percent more subscriptions than she did in May. Well, in May she sold 140 subscriptions and 20 percent of 140 is 20 percent times 140 or 28.

  Therefore, in June, Gina sold 140 plus 28 subscriptions, or 168 subscriptions. The percent that the number of magazine subscriptions sold in June, 168, is greater than the number sold in April, 100, is 68 percent, answer choice(C).

  2. The correct answer is (B). In this question, we are given that one square, A, has sides of length x and a second square, B, has sides of twice this length (or 2x), and we are asked to compare the area of A to one half the are a of B. The first thing you should do is draw a diagram. (You should draw a diagram when you are not provided with one or when you are given one that is not drawn4 to scale.) If you draw the squares somewhat carefully, the answer becomes obvious.

  Figured out mathematically, the area of a square is the side squared. Column A will, then, yield a square with area x2. Column B will yield a square with area 4x2. x2 compared to 2x2 gives us an answer choice of (B) because 2x2 is greater. You could have picked numbers for the sides of the squares and would have still come out with Column B being greater.



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1 punctuation 3Sbxk     
n.标点符号,标点法
参考例句:
  • My son's punctuation is terrible.我儿子的标点符号很糟糕。
  • A piece of writing without any punctuation is difficult to understand.一篇没有任何标点符号的文章是很难懂的。
2 subscriptions 2d5d14f95af035cbd8437948de61f94c     
n.(报刊等的)订阅费( subscription的名词复数 );捐款;(俱乐部的)会员费;捐助
参考例句:
  • Subscriptions to these magazines can be paid in at the post office. 这些杂志的订阅费可以在邮局缴纳。 来自《简明英汉词典》
  • Payment of subscriptions should be made to the club secretary. 会费应交给俱乐部秘书。 来自《简明英汉词典》
3 determined duszmP     
adj.坚定的;有决心的
参考例句:
  • I have determined on going to Tibet after graduation.我已决定毕业后去西藏。
  • He determined to view the rooms behind the office.他决定查看一下办公室后面的房间。
4 drawn MuXzIi     
v.拖,拉,拔出;adj.憔悴的,紧张的
参考例句:
  • All the characters in the story are drawn from life.故事中的所有人物都取材于生活。
  • Her gaze was drawn irresistibly to the scene outside.她的目光禁不住被外面的风景所吸引。
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