TJC NYJC VJC 9649 2023 Prelim Annex Insert

Further Mathematics 9649 ANNEX Paper 1 QN TOPIC (Pls Select) ANSWERS (Exclude graphs and text answers) 1 Numerical Methods (a) 1 3k  (b) 1112 5079 2 Mathematical Induction 3 Apps of Integration (incl. polar) (a)   5tan , tan and tan .33y x y x y x             (b) 4.712 (c)   242,0 , 2, , 2, .33            4 Recurrence Relations (a) 146 196(1.025) n nH   (b) year 2024 5 Complex Numbers 6 Complex Numbers (a) || 2 a (b) arg( ) arg( ) arg( ) 2a z a    7 Numerical Methods (a) (i) 3k  (ii) 03 k (c) 2 0.47a  8 Differential Equations (c) 22 ln a a ba b   (d) ln aa b   9 Conics (a) 2 2( 3) 1 8 yx   ; 6  (b) e = 3 (c) 24 3 cosr   (d) 1 4tan 3BOF    ; 6.10 km 10 Linear Algebra (a) (i) 2d  (ii) 1 2 2 1 1 4 4 3 2 22 1 A d d d dd         (b) (ii) y = 0

(c) 1 1 2 1 1 3(2 ) 2 1 1 2 0 0 2 n n n            11 FM P1 Q11 Topic 12 FM P1 Q12 Topic 13 FM P1 Q13 Topic 14 FM P1 Q14 Topic Paper 2 QN TOPIC (Pls Select) ANSWERS (Exclude graphs and text answers) 1 Numerical Methods (a) 2.80 (c) 0.441 2 Recurrence Relations (a) (i) 1(10000 )2 n nu b b n    (b) 1 week 3 FM P2 Q3 Topic (a) 11 , 11 d a            4 Apps of Integration (incl. polar) (b) 22 22 4 cm 33 aa   5 Differential Equations (b) 1 ,04qp  ; 1cos 2 sin 2 cos 2 4y A x B x x x   6 Chi-square Tests (a) 15 27k (b) value 0.00269p 7 Non-parametric Tests 8 Discrete RV (a) (i)  1rpp  (ii) 1 rp (iii) p = 0.9 (b) (i)     2 11 rr p p (ii) 4554pp 9 Continuous RV (a) 1kn (b)     2 1 3 ( 2) n n n    (c) F(x) = 3 0, 1 11 , 1 x xx   (d) 125 343 10 Hypo Testing & Confidence Intervals (b)  1.25, 11.25 11 FM P2 Q11 Topic 12 FM P2 Q12 Topic

13 FM P2 Q13 Topic 14 FM P2 Q14 Topic