2013年05月IB数学SL真题下载-Paper2

2013年05月IB数学SL真题下载-Paper2

1.An arithmetic sequence is given by 5, 8, 11, ….

(a) Write down the value of d .

(b) Find

(i) 100 u ;

(ii) 100 S . 

(c) Given that 1502 n u = , find the value of n .

 

2.Consider the following cumulative frequency table.

(a) Find the value of p .

(b) Find

(i) the mean;

(ii) the variance.

 

3.

(a) Write down the value of p , of q and of r .

(b) Find the coefficient of the term in x5 .

 

4.Consider the system of equations

-x-y+z=2.5

x+y=1

-2x-y+2z=-3

(a) (i) Write down the matrix A .

(ii) Write down the matrix A−1 .

(b) Hence, find X .

 

5.The velocity of a particle in ms−1 is given by v = esint −1, for 0 ≤ t ≤ 5.

(a) On the grid below, sketch the graph of v .

(b) (i) Write down the positive t-intercept.

(ii) Find the total distance travelled by the particle in the first five seconds.

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