This year's E-Math paper 1 is actually quite easy, so unfortunately, many students will be able to do well, which then even more unfortunately means that the moderation is going to be quite steep.
Remember, it is not good enough to get 75 marks for A1, after all, an A1 is based on the top 75th percentile. So, to be safe for an A1, you need to score around 85 marks overall for P1 and P2.
Answers for 2009 E-Math P1
1 (a) 5y (4x - 1) .............................. (b) -12
2. $112.80
3 (a) Blue ...................................... (b) 75
4 (a) 70 5/6 % ............................... (b) 5 / 12
5 (a) p = 3 ..................................... (b) x^4 (x to the power of 4)
6 (a) x = 50 ................................... (b) y = 150
7. 1 1/2 < x < 6
8. $1624.27
9 (a) Area = 17.0 ............................ (b) Volume = 340
10 (a) 31, 24 ................................... (b) 45 - 7n
11. Large Tin gives better value.
12 (a) Acceleration = 0.6 ................. (b) Distance = 720
13 (a) t = 2s .................................... (b) Upwards curve with decreasing gradient
14. Surface Area = 113
15 (a) (i) 4 : 5 ........ (ii) 16 : 25 .......... (b) 12.8 kg
16 (a) (i) 8 cm ....... (ii) 40 ............... (b) (i) 64 ......... (ii) 26
17 (a) (i) k = -1 ...... (ii) x = - 2 1/2 ...... (b) (3p - 5a)(2p - q)
18 (a) 2 x 3 x 5^2 ............................ (b) 6 ................................. (c) 8 packs
19 (a) (i) 0.089486355 ... (ii) 0.1 ...... (b) 162
20 (a) 54 ........................................ (b) 22 ............................... (c) 80
21 (a) 4.88 x 10^8 ........................... (b) 31 ............................... (c) 1 : 295
22 (a) 39.8 ...................................... (b) 0.524, 2.62
23 (a) x + 2y = 100 ; x + 3y = 131 ...... (b) x = 38, y = 31
24 (a) Proving: (SAS) ...................... (b) ABC, DCB or ABD, DCA
.... (c) AXD, BXC
25 (a) 1/3 ........................................ (b) y = 1/3 x + 1
.....(c) Area = 9 sq. units .................. (d) (6, 0) and (-6, -4)
26 (a) (i) 2a - 2b ..... (ii) 2a + 4b ..... (iii) a - 4b ........................ (b) 12b
.....(c) O, B, P are collinear; OP = 2OB ....................................... (d) a + 2b
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