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自测试题一(1)

2006-07-07 00:24

  Time -30 minutes

  30 Questions

  In the rectangular coordinate system, the circle with

  center P is tangent to both the x- and y-axes.

  1. The x-coordinate of P  The y- coordinate of P

  2.   +       1

  3.

  The square is inscribed in the circle.

  4. The length of a diagonal   The length of a diameter

  of the square   of the circle

  x<y<20

  5.   x + y       35

  In college M the average (arithmetic mean) number of

  students per course is 30 and the ratio of the number

  of students to the number of faculty is 20 to 1.

  6. The total number      600

  of students in

  College M

  x > 0

  7.

  8.   x       80

  Integer n will be randomly selected from the

  integers 1 to 13, inclusive.

  9. The probability that The probability that

  n will be even  n will be odd

  p + q = 1

  0 < p < q

  10.          1

  2x + 3y = 29

  3x + 4y = 41

  11.   x + y      12

  PQ = OQ = 5

  12. The area of region OPQ    10

  13.     +       20

  +   =   +

  n, r, s, and t are positive integers.

  14.   2n + r      2s + t

  In the xy-coordinate system, the point (x, y) lies on the circle with equation x + y = 1

  15. x + y       1.01

  16. A health food store prepares a breakfast food that

  consists of oats, raisins, and nuts mixed in the ratio

  9:2:1, respectively, by weight. If the nuts in the

  mixture weigh 9.2 pounds, how many pounds does the

  total mixture weigh?

  (A) 82.2

  (B) 92.2

  (C) 101. 2

  (D) 110.4

  (E) 165.6

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