2012年05月IB数学SL真题下载-Paper1
1. The ages of people attending a music concert are given in the table below.
(a) Find p .
The cumulative frequency diagram is given below.
(b) Use the diagram to estimate
(i) the 80th percentile;
(ii) the interquartile range.
2.
(a) Write down the value of m and of n .
(b) Find AB .
(c) Let C be a p×4 matrix. Given that the product BC exists, write down the value of p .
3.Let f (x) = e6x .
(a) Write down f'(x) .
The tangent to the graph of f at the point P(0, b) has gradient m .
(b) (i) Show that m = 6 .
(ii) Find b .
(c) Hence, write down the equation of this tangent.
4.Events A and B are such that P(A) = 0.3, P(B) = 0.6 and P(A∪B) = 0.7 .
The values q , r , s and t represent probabilities.
(a) Write down the value of t .
(b) (i) Show that r = 0 2 .
(ii) Write down the value of q and of s .
(c) (i) Write down P(B') .
(ii) Find P(A|B' ).
2012年05月IB数学SL真题余下省略!
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