2017年11月IB数学SL真题下载-Paper1
A bag contains 5 green balls and 3 white balls. Two balls are selected at random without replacement.
(a) Complete the following tree diagram.
(b) Find the probability that exactly one of the selected balls is green.
2.In an arithmetic sequence, the first term is 8 and the second term is 5.
(a) Find the common difference.
(b) Find the tenth term.
(c) Find the sum of the first ten terms.
3.The following diagram shows the graph of a function f , with domain -2 ≤ x ≤ 4 .
The points (-2 , 0) and (4 , 7) lie on the graph of f .
(a) Write down the range of f .
(b) Write down
(i) f(2) ;
(ii) f-1(2) .
(c) On the grid opposite, sketch the graph of f -1.
4.The following diagram shows triangle ABC, with AB = 3 cm , BC = 8 cm , and ABˆC=π/3
(a) Show that AC = 7 cm .
(b) The shape in the following diagram is formed by adding a semicircle with diameter [AC] to the triangle.
Find the exact perimeter of this shape.
2017年11月IB数学SL真题余下省略！
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