Rev 5 2009

Intensive Revision Set 5 P2 Additional Mathematics SPM 2009

SBTC@biid

SULIT

3472/2

1.

Solve the simultaneous equations h + 2k = 5 and k 2 − 3h = 7 . Give your answers correct to two decimal places. [k = 2.57, h = −0.14 ; k = −8.57, h = 22.14]

2.

Given that y = ( x + 2)( x − 5) , calculate (a) the small change in y when x increases from 2 to 2.02, (b) the rate of change of x if y decreases with a rate of 3 unit s −1 when x = 2.

[(a) 0.02 3.

(b) − 3 unit s

−1

]

A set of scores obtained in a certain competition is given by 10, 12, 18, x and y. Given that the mean of the scores is 14 and the variance is 8, calculate (a) the values of x and y, (b) the interquartile range of the scores.

[(a ) x = 14, y = 16; x = 16, y = 14; (b)6]

4.

→ → 1  →  m   8 Given that OA =   , OB =   and OC =   , find the value(s) of m if 7 5  12  →

→

(a)

OA = BC ,

(b)

AB = 68 ,

→

(c)

A, B and C are collinear.

9  (a ) m = 7 ( b) m = −7 or 9 (c) m = − 5 

5.

d2y dy = 6 x − 4 , when x = 2, y = –30 and = −11 , find 2 dx dx y in terms of x, the maximum and the minimum values of y.

Given that (a) (b)

400   3 2 (a ) y = x − 2 x − 15 x ( b) max y = 27 , min y = −36

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