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GCE A levels Mathematics 2009 H1

1) (1,1) , (-4,3.5)

2)i) (0,0) , (4,2)
ii) 2/3 x^(3/2) + C, xsq/4 + C
where C is an arbitrary constant.
iii)4/3 unit sq

3) i) h(x)|-> ln (x+2) , x is an element of R, x > -2
ii) use your GC. x intercept should be -1, asymptote at x=-2
iii) (0.926, 1.074)

4) i) use GC, x=0 is an asymptote, x intercept at 1
ii) -4/5
iii) 4x + 5y - 15.5 = 0
iv)4.1 unit sq

5 i) 6xsq -10x -4, (2, -9) (-1/3, 100/27)
ii) use GC, I'm lazy to find intercepts
iii) (-1 < or =" <" or =" 0.5)"> or = 3)
(x < or =" ln0.5"> or = ln3)

6 i) 0.14
ii) 0.72
iii) 0.357 (3 sf)

7 i) 1/6
ii) P(A) x P(B) = 2/15 =/= p (A n B)
iii) 5/6

8 i) 0.912 (3 sf)
ii)0.166 (3 sf)
p value = 0.05805 > 0.05
conclude that there is not enough evidence to support their claim
(note, the full 4 marks is given mainly for presentation, so even if you got the value right, you may still be missing a few marks here and there for lack of proper working)


9 i) use GC
ii) 0.931 (3sf) strong positive correlation; the more liquid nutrient added to the oil, the heavier the weight of fruit per tree.
iii) 0.123x + 15.5
iv) 17.2 (3 sf)
v)y is the given variable, use regression line of x on y instead.
Also, 20 kg is outside the given data range.


10 i) 0.302 (3 sf)
ii) 0.658 (3 sf)
iii) 0.812 (3 sf) mean = 10 variance = 8


11 ai) number the claims from 1 to 72, generate a random offset from 1-9 and choose it with every 9th person that follows on the list
ii) yes. the first 8 claims may all be on the same flood damages. By processing them, it will result in a more bias statistics.

bi) xbar = 1040 (3 sf)
ssq = 67600 (3 sf) [whao that's big]
ii) mean value = parameter
iii) a > 0.618 (3 sf)


12 a) sd = 5.12 (3 sf) mean = 24.7 (3 sf)
b i) 0.634 (3 sf)
ii) mean = 6.06 variance = 0.3762
0.419 (3 sf)




Generally this paper is much easier than H2 standard, mark weightage is much lower with 3-5 marks given for fairly easy, to-the-point questions, and 2 marks given simply for the proper use of GC. (quite unfair to the H2 students IMO)

I do hope that the stats component for my h2 P2 will be as easy as this paper's.
all in all, even if you got most of the question right, you may not secure the A, since the paper is really quite easy and you know what they say about the bell curve and all that.

But then again, it may be justified to infer that those taking h1 will not be particularly brilliant in math, so.. yes.. just don't lynch me if you didn't ace it. :)

O well, H1 isn't much of a concern for most universities (especially those overseas, acording to what I hear from Robson) and it's over already, you wouldn't have to touch that damned thing they call a calculator ever again :)



I have to specify that I did this paper within an hour so there may be some errors on my part. so do notify me if you spot any!


won't be uploading answers for GP since it's horribly pointless and I haven't got the question booklet for paper 2. However, if you have answered the same paper 1 question as me (question 4), I hope that you took note of the word 'still', meaning that there is an underlying assumption that patriotism (my take on the question) should be encouraged in the past. But then again, it's all my POV.


mug hard for Chem :) Cheers :D

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