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SAT数学考试问答题【基本练习】

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SAT数学考试问答题

  SAT数学考试问答题内容节选:

  6. Let the function f be defined by f(x) = x - 1

  What is the value of y if y is a positive integer such that 1/3 f(y²) = 5?

  7. The amount of time taken to paint a wall is inversely proportional to the number of painters working on the job. If it takes 3 painters 5 days to complete such a job, how many days longer will it take if there are only 2 painters working?

  8. Line l and line m lie in the same plane but have no points in common. They are both tangent to a circle

  of area 9π. What is the shortest distance between any point on l and any point on m?

  9. A box contains 5 chocolates with soft centers, 6 with nut centers, and 11 with hard caramel centers. Three students take turns to take a chocolate at random from the box and eat it. If the probability that all three students take soft centers is 1/x, what is the value of x?

  10. At one point in a game the shooting team has a ratio of hits to misses of 5:1. After the next team misses the nest three shots, which are the last in the game, its ratio of hits to misses is 5:2. What is the total number of shots taken by the team in the game?

  参考答案:

  6.Correct Answer: 4

  Explanation:

  We can find f(y²) by plugging in to get f(y²) = y²-1 Now we take 1/3 of this value as equal to 5; (y²� 1)/3 =

  5; thus y²= 16 and y = 4

  7.Correct Answer: 2.5

  Explanation:

  For inverse proportions remember the formula x1y1 = x2y2

  Here initial painters x days = final painters x days; 3 x 5 = 2 x days

  Total days taken will be 15/2 = 7.5, but there is a catch: you were asked how much longer it would take. Initial time was 5 days so it will take 2.5 days longer.

  8.Correct Answer: 6

  Explanation:

  The description tells us that l and m are parallel lines with the circle lying between and touching both.

  Area of the circle = πr² = 9 π. Radius = 3 and diameter = 6.

  9.Correct Answer: 154

  Explanation:

  The total number of chocolates to start with is 22. The first student has a chance of 5/22 of taking a soft center. The second student has a only 21 sweets left of which 4 could be soft: his chance is therefore

  4/21. Similarly the third student has a chance of 3/20

  Total probability is obtained by multiplying all these chances together: (5/22)(4/21)(3/20) = 1/154 [It is best to cancel the terms down rather than using a calculator because we want a fraction not a decimal]

  10.Correct Answer: 21

  Explanation:

  A ratio of 5: 2 means 5x: 2x. Total shots = 7x. The last three shots added one unit to the ratio, and so x = 3.

  以上就是SAT数学考试问答题,同学们如果想了解更多与SAT数学考试问答题有关的信息,可以去咨询我们的辅导老师。

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