2011年5月IB数学SL真题下载-Paper2
1.The following diagram shows triangle ABC .
AB = 7 cm, BC = 9cm and ABC =120°。
(a) Find AC .
(b) Find BAC.
2.Let f (x) = 3x2 . The graph of f is translated 1 unit to the right and 2 units down.
The graph of g is the image of the graph of f after this translation.
(a) Write down the coordinates of the vertex of the graph of g .
(b) Express g in the form g (x) = 3(x − p)2 + q .
The graph of h is the reflection of the graph of g in the x-axis.
(c) Write down the coordinates of the vertex of the graph of h .
3.In an arithmetic sequence u1 = 7 , u20 = 64 and 3709 un =3709.
(a) Find the value of the common difference.
(b) Find the value of n .
4.A random variable X is distributed normally with a mean of 20 and variance 9.
(a) Find P(X ≤ 24.5) .
(b) Let P(X ≤ k) = 0.85 .
(i) Represent this information on the following diagram.
(ii) Find the value of k .
5.A box holds 240 eggs. The probability that an egg is brown is 0.05.
(a) Find the expected number of brown eggs in the box. [2 marks]
(b) Find the probability that there are 15 brown eggs in the box. [2 marks]
(c) Find the probability that there are at least 10 brown eggs in the box.
2011年5月IB数学SL真题余下省略！
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