2019年5月IB数学SL真题下载-Paper2
1.Ten students were asked for the distance, in km, from their home to school. Their responses are recorded below.
(b)Find the value of p .
(c)Find the interquartile range.
2.Consider the graph of the function f (x) = a (x + 10)2 + 15 , x∈R .
(a)Write down the coordinates of the vertex.
(b)The graph of f has a y-intercept at -20 . Find a .
(c)Point P (8 , b) lies on the graph of f . Find b .
3.Consider the function f (x) = x2e3x , x∈R .
(a)Find f'(X).
(b)The graph of f has a horizontal tangent line at x = 0 and at x = a . Find a .
4.Let f″(x) = (cos 2x) (sin 6x) , for 0 ≤ x ≤ 1 .
(a)Sketch the graph of f″on the grid below:
(b)Find the x-coordinates of the points of inflexion of the graph of f .
(c)Hence find the values of x for which the graph of f is concave-down.
5.A jigsaw puzzle consists of many differently shaped pieces that fit together to form a picture.
Jill is doing a 1000-piece jigsaw puzzle. She started by sorting the edge pieces from the interior pieces. Six times she stopped and counted how many of each type she had found. The following table indicates this information.
Jill models the relationship between these variables using the regression equation y = ax + b .
(a)Write down the value of a and of b .
(b)Use the model to predict how many edge pieces she had found when she had sorted a total of 750 pieces.
2019年5月IB数学SL真题余下省略！
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