NYJC H2 2020 Prelim Answers

H2 Mathematics 9758 ANNEX Paper 1 QN TOPIC (Please Select) ANSWERS (Exclude graphs and text answers) 1 Equations & Inequalities 159.17 2 Graphs & Transformations (ii) 0.4700.5 k  or 0.050 03 k   3 Differentiation & Applications (i) x2 = y2 – 4a. (ii) k=4 4 Integration & Applications (a) 2 4 6sin cos cos C4 12 x x x   (b)   2 1 12 5 3 2 3 sin 3 1 4x x x C       5 Equations & Inequalities 21 1 8 2 ax a    or 10 x a  or 21 1 1 8 2 a axa   6 Differential Equations (i) d( ) d ya x x y x   (ii)    lny a a x a x C       7 Sigma Notation & MOD (i) 23nu An An B   (iii) 3 2 2n n 8 Integration & Applications     2 21 21 e and 1 e5 5S C       ;   29 e20   9 Maclaurin & Binomial Series (i) 2 3 2 3 2 2 8ln( 2 ) ln 3 n x x xk x n k k k k            (ii) 2 2 k k x   (iii) 2 3ln 3 (iv) -2 (v) 54.3% 10 Vectors (i) 7 7 0         (ii) x + y  z = 14 (iii) o54.7 or 0.955  (v) 4 3 11 Differentiation & Applications (ii) 0.318K  (iii) 0.395 12 APGP (ii) 2 weeks (iii)  12 1 1 2 n n nu n     (iv) 22 weeks

Paper 2 QN TOPIC (Please Select) ANSWERS (Exclude graphs and text answers) 1 Integration & Applications 2 9 3 3 32a      2 Functions (i)   1 2f x k x k    ; 1 2 f [ , )D k    (ii) 81 107x  3 Differentiation & Applications (i) d 1 d 2 y x  ; (0, ) (ii) 0.235  4 Vectors (i)  2 3OZ   b a   ; 2OX  b   ;  1 32 b aOY     (ii) o60 or 3   5 Complex Numbers (a) 5 + i and 2; 8p ; 52q (b)(i) 2i 32 3e      (ii) 2, 5, 8 6 PnC & Probability (a) 768 (b)(i) 8610 (ii) 40320 (iii) 4320 7 DRV (ii)     20P( 1.5) 5 4 3 nS n n n         60P( 2) 5 4 3S n n n     8 Binomial Distribution (ii)0.982 (iii) 25 (iv) 0.840 9 PnC & Probability (ii)0.5 (iii)0.25 (iv) 0.6 (v) 11 60 10 Normal Distribution (i)0.0259 (ii)0.00360 (iv) 204 minutes (v)0.0117 11 Hypothesis Testing (ii) 99.1x ; 2 10.9s  (iv) 0 1 H : 100 H : 100     (iv) m = 99