2009 Rv Am P2 Solutions

2009 RVHS Prelim A. Maths (4038) Paper 2 Answer Key Q1(a)(i) 68C, (ii) 13.2 mins, (b) 23C 3 1 Q2(a)     ,   , (b) x 2  5 x  4  0 2 2

Q3(b)(i) 30, 90, 210, 270, (ii) 70.5, 289.5 or 180

Q4(a) x  4 , (b) 2 

1 1 x 2 y

Q5(a)(i) A  1, B  2, C  3 , (ii) 3 x  1 (b) x  2, x  8 or x  7 Q6(a) Intercept theorem and property of similar triangles, (b)tangent-chord theorem and property of similar triangles. Q7(a) Amplitude = 1, Period = , (c) 5 solutions Q8(b)

25  8 ln 2 or 11.8 unit2 4

Q9(b) AB  13sin(  22.62 ), (c) 67.4, (d) 31.3 3  Q10(a)(i) y  sin(2 x  )  2 , (b)(ii) 2 units/s 2 2 1 Q11(a) mAB  4, mBC   , (b) ( x  4) 2  ( y  1) 2  34 , (c) m  19, n  2 4