2009 'O' Levels E-Math Paper 2 Answers (4016/2)

Answers for E-Math Paper 2

1a (i) 22.5 min .............. (ii) 58 1 /3 %
..b (i) 18 18/19 km/h ...... (ii) 8 min 33 s ................. (iii) 10 min
2a (i) (5 - p)(5 + p) ....... (ii) 1/3 (5 - p)
..b .... (-4x - 5) / (x + 2)^2
..c (i) v = 20.7 .............. (ii) +/- sqrt (v^2 + 2gh)
3a ....BD = 10.1 m
..b (i) GN = 10.9 m ....... (ii) angle GAB = 45.4
4a (i) angle BEC = 33 ... (ii) angle EBC = 57 .......... (iii) angle CDE = 123
..b ... angle FAE = angle FDC; angle AFE = angle CFD => FAE similar to FDC
..c ... AC = 13 cm
5a (i) Venn Diagram ..... (ii) { 3, 6, 12, 15} .............. (iii) 8
..b (i) ( .. 25 ... 15 .. ) ... (ii) ( .. 75 ... 165 .. )
........ ( .. 10 ... 30 .. ) .........( ..110 ... 80 ... )
..(iii) The number of adults and children the bus carries in the morning and afternoon, from Monday to Saturday.
..(iv) (a) ( 700 ) ........... (b) The total fare collected for the morning and afternoon
............ ( 650 ) ................ respectively.
..c ... ( 13.5 ) .............. (d) Total amount collected in dollars from Mon to Fri.
6a ... p = 1.07 .............. c. Draw y = 2, x = 2.31, 4.85
..d ... 3.26 ....................e. x = 3.4, y = 2.49
7a ... 2.75 cm .............. b. 2.75 + 2 = 4.75 cm ......... c. 81.3 cm
..d ... 1/2 x 2 x 2.75 x 10 = 27.5 sqcm ...................... e. 2.39 sqcm
8a (i) BC = 399 m ...... (ii) angle ACB = 58.0 ........... (iii) 158.0
..b (i) AD = 79.2 m ..... (ii) Greatest angle of elevation = 8.2
9a ... ST = 10 - x ........ b(i) PQ = 7 + x .................... (ii) QR = 7 - x
..c ... By Pythagoras Theorem, PQ^2 = QR^2 + ST^2
..d ... x = 2.18, 45.8 .... e. Diameter = 4.4 cm
10a (i) Create Table ... (ii) a. 6.27 ............................ b. 1.24
.... b (i) Tree Diagram with Hard and Soft as the Probability (not Ann and Ben)
....... (ii) a. 5 / 18 ......... b. 4 / 9 ................................. c. 5 / 9