2015年11月IB数学SL真题下载-Paper1
1.The following box-and-whisker plot represents the examination scores of a group of students.
(a) Write down the median score.
The range of the scores is 47 marks, and the interquartile range is 22 marks.
(b) Find the value of
(i) c ;
(ii) d .
2.The following diagram shows the parallelogram ABCD.
Let →AB= p and →AC= q . Find each of the following vectors in terms of p and/or q .
(a) →CB
(b) →CD
(c) →DB
3.Let f'(x) = 6x2 − 5 . Given that f (2) = −3 , find f (x) .
4.Let f (x) = 3 sin (πx) .
(a) Write down the amplitude of f .
(b) Find the period of f .
(c) On the following grid, sketch the graph of y = f (x) , for 0 ≤ x ≤ 3 .
Let f (x) = (x − 5)3 , for x∈R.
(a) Find f−1 (x) .
(b) Let g be a function so that ( f°g) (x) = 8x6 . Find g (x) .
2015年11月IB数学SL真题余下省略!
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