AJC H2 MATH P2 ANNEX B

ANNEX B AJC H2 Maths Preliminary Examination Paper 2 Qn/No Topic Set Answers 1 Differential Equations (ii) 89.0 litres (iii) 141 litres 2 Functions (a) (i) 1f( 1 ) 0  (ii) y = x +1 (iii) y = x – 1 (b) (i) [-11, 5] (ii) a = -12 3 Vectors (ii) 10 1 33 7 OC      (iii) 122 23 4 Complex numbers (i) (ii) arg 2.652 zi   (iii) See diagram in (i), 3 5 Vectors (i) 0 (iii) a = -1 and b = 4 (iv) 44 5 4 42 or 5 4 42 11         rr 6 P & C (i) 2721600 (ii) 114660 7 Sampling Mean & methods (i) 0.209 8 Linear Regression & correlation (ii) 0.940 (iii) 5.53, 0.0476AB  (iii) 26.9%

9 Normal distribution (i) 0.852, The distributions of the lifespans of all televisions are independent of each other. (ii) 0.160 (iii) 10 (iv) (I) will be greater as A > 25000 and B > 25000 is a subset of A+B > 50000. 10 Poisson Distribution (ii) 0.04861075 (iii) 0.0464 (iv) $16.30 (v) 0.0974 11 Probability (ii) 2 9 (iii) 7 9 (iv) 1 2 (v) Mary is not expected to make a profit as she is expected to lose $10.00 in the game 12 Hypothesis Testing (i) 3.73, 0.177 (ii) 0.0504p , reject oH (iii) same (iv) 4 hours 29 mins