2012
Wed
7
Nov

# GCE A Level 2012 Oct/Nov H2 Maths 9740 Paper 1 Suggested Answers & Solutions

(53)
Tuition given in the topic of H1/H2 (A Level) Maths Tutor from the tuition centre desk of at 9:09 pm (Singapore time)

It’s my annual hello to all of you again.

While my sister has churned out her O Level A/E-Maths solutions with much fanfare, here’s my little contribution to all our A Level comrades this year.

Click the button and grab it here!

• 1.1:

Q6(iii) – amended working step n = lg1000/lg2 to compare 29 = 512 and 210 = 1024, in order to comply strictly with the “No Calculator” requirement in this question.
Q11(i) – improved descriptions of the tangents (sorry couldn’t write straight that night *sigh*)

Access it here if you’re having trouble accessing it on Facebook using your state-of-the-art smartphone 🙁

As usual, all yim yim jim jim scrutinizers please leave a gentle comment should you spot any mistake in this set of suggested solutions, which was produced well after my last class at the end of my tiring day *rubs eyes*

Now go revise your

• AP/GP
• Integration by parts/substitution/ Volume of revolutions
• Summatioon (Method of Difference)
• Complex Numbers (Argand diagram)

All the best for your Paper 2!

### Revision Exercise

To show that you have understood what Miss Loi just taught you from the centre, you must:

1. pheng commented in tuition class

2012
Nov
7
Wed
9:33pm

1

just wondering, how difficult do you think this year's H2 paper was?

2. Michelle Lee commented in tuition class

2012
Nov
7
Wed
9:35pm

2

Hi hi, are you gonna share the solutions for H1 Math too?

3. ck commented in tuition class

2012
Nov
7
Wed
9:41pm

3

Hi sir, just a few qns. for qn ten my method was correct of substituting h equals to something k, but the substitution was wrong. approximately how many marks for method will i get? additionally for the mi qn i put n is z and not z plus, is that ok,like will minus mark? and erm for the definite integral i just put =answer(in 3dp) without the longer answer than the curly equal sign, is that ok, like will minus mark? and uhm for the vectors qn 9 i got first aprt correct but cos of calculation error second and third aprt wrong but emthod correct, approx how many method marks? similarly for the intial vector qn ihad a calculation error at the final step the square root u etc last step, is that enuff for two method marks? and for the integration qn i didnt say c is a constant is that ok? and finally do u hv any duiea whats the grade range for a? any help would be sincerely appreciated thanks

4. ck commented in tuition class

2012
Nov
7
Wed
9:45pm

4

and sorry one last one. for qn 8 i just said since the sign is negatiove its always less than zero. but i accidentally put min point. will is till get 1method mark? thank you

5. j commented in tuition class

2012
Nov
7
Wed
9:49pm

5

hi sir can u approximate the a for this year?

6. angstzx commented in tuition class

2012
Nov
7
Wed
9:53pm

6

hello

for qn 9 (ii) is it possible to find the ratio of the lengths AN:NB using this method? or why is it not acceptable?

AN = ON - OA
NB = OB - ON

proceed to mod AN and NB, then compare the lengths? my answer was 1:5 if i didn't forget.. :/

7. gr commented in tuition class

2012
Nov
7
Wed
9:59pm

7

i think the difficulty of p1 for this year as compared to last year was eazier

8. Ang commented in tuition class

2012
Nov
7
Wed
10:53pm

8

Hi I think qn 11iii) has a mistake, the limits weren't changed from x to teter?

9. Wesley commented in tuition class

2012
Nov
7
Wed
11:18pm

9

Hi, I would like to ask if there's likely to be ECF for QN 11, as I did not include the base surface area.

Thanks!

10. x commented in tuition class

2012
Nov
7
Wed
11:26pm

10

Here we go again, people asking about the grade boundary to get an A, as with every year. There is really no way anyone can give a good approximate, because SEAB is very opaque when it comes to their moderation procedure, so we can't really know. The worst thing anyone can do now is to give a high estimate (e.g. 85) since this was an 'easy' paper, then everyone who did NOT get that grade will start fearing, and have decreased morale.

11. cheryl commented in tuition class

2012
Nov
7
Wed
11:38pm

11

Hello! May I ask what is the estimated mark for an A this year?:)

12. Jud commented in tuition class

2012
Nov
8
Thu
12:05am

12

For question 9(i),

Why shouldn't the solution be:

Vector equation of the line AB:
r = (7,8,9) + λ[ -(7,8,9) + (-1,-8,-1)]
= (7,8,9) + λ(-8,-16,-8) , where λ is a parameter.
(Can this be left as the final answer?)

13. daniel zeng commented in tuition class

2012
Nov
8
Thu
2:20am
14. T commented in tuition class

2012
Nov
8
Thu
7:39am

14

Hi, I would like to ask if answers that are not simplified will be accepted or penalized. For eg Q9iii, I didn't simplify my answer and left the Cartesian equation as over 2, -8 and 2 for the x y and z respectively. And for Q6iii also I left it as -10pie /3.

Thanks

• 2012
Nov
9
Fri
1:04am

14.1

@T: For Q9(iii), you mean you left your equation of the line as a column vector? If this is the case then it's not in cartesian equation form leh.

For Q6(iii), generally it's a good idea to express your final answers for arguments as the principle argument but you may get away with leaving it as −10π/3 since the question did not specify requirement for the argument of zn to be between −π and π in this case.

15. curious commented in tuition class

2012
Nov
8
Thu
8:09am

15

Hi may I ask if they asked you not to use a calculator in question 6 and you used lg1000/lg2 to compute n which is also stated in your solutions provided, what will happen?

• 2012
Nov
9
Fri
1:32am

15.1

@curious: For 6(iii), having yet to explore an alternative method, we'll all arrive at 2n > 1000.

Hmmm ... maybe I should simply know that 210 = 1024 and remove the lg1000/lg2 part just to strictly "comply". Heh. Alright amended the step to compare 29 and 210 in version 1.1 of the solutions.

16. meme commented in tuition class

2012
Nov
8
Thu
1:17pm

16

I could guarentee 85 - 88 marks. Isit safe for an A ?

17. Carol commented in tuition class

2012
Nov
8
Thu
6:55pm

17

i would like to paraphrase a quote from a previous forum, and the quote was from the cambridge examiners themselves: the grading for a levels is comparable to judging a student's ability to swim 100 metres. if you're able to clear the 100 metres, you'll get the A regardless of the number of people who are able to swim around the world. so i guess don't worry if you aren't able to hit a high score, just aim for as high as possible for tmr's paper!

if you really want a gauge.. i think the RJ comment is not representative of wat is going on in SG la. over here at where i am the consensus is "ok but damn tedious", My estimate for my own score is 82 (provided got ecf..), but i've also seen ppl who couldn't do all the last three qns. so i guess this year the threshold will be lower..

18. Adeline commented in tuition class

2012
Nov
8
Thu
9:59pm

18

Hi, will there be solutions for the Math H1 paper as well?

• 2012
Nov
12
Mon
11:28pm
19. amos commented in tuition class

2012
Nov
9
Fri
5:49pm

19

Will it be penalised if l = -1/3 is found using GP method instead of the usual way?

20. Ang commented in tuition class

2012
Nov
9
Fri
6:55pm

20

Hi Sir, may I know if today maths paper 2 solutions will be up?

• 2012
Nov
12
Mon
11:29pm
21. Jess commented in tuition class

2012
Nov
10
Sat
1:08pm

21

Hi, for the question that needs us to show that dy/dx = cot 0.5θ, could we do it this way?
dy/dx=...
= (sin θ)/(1-cosθ)
= (sin 0.5θ+0.5θ) / ( 1- cos(0.5θ+0.5θ))
then we go on to solving the equation using these 2 formulas:
sin( A+B) = sinAcosB+cosAsinB and
cos(A+B)= cosAsinB-sinAcosB
if not, then why is it wrong?

thanks 🙂

22. Yak commented in tuition class

2012
Nov
15
Thu
10:44pm

22

Are we really expected to do 2^10 without calculators? =\

23. Dudeail commented in tuition class

2012
Dec
3
Mon
10:26pm

23

Hi ,I know it's kind of late haha but my friend wanna ask whether can switch step1 with step 3 for qn7:)

24. Drea commented in tuition class

2013
Nov
18
Mon
10:43am

24

Hi Miss Loi, I know this is not the 2013 thread but I can't find it so can I ask you a general question regarding the grading system?

Does Cambridge give us our marks (based on score and/or ability) or do they simply write down our scores and give them to MOE who will moderate them and create the bell curve?

I am asking this because I am afraid I am scoring a low 70s due to a lot of careless mistakes 🙁

Thanks!

### 5 Reactions

1. Miss Loi tweeted

2012
Nov
7
Wed
1:16pm

25

#alevel #H2 Maths suggested answers & solutions done on a really quiet night: http://t.co/dL0j7RWj (no twang twang twang this time) #math

2. yen tweeted

2012
Nov
7
Wed
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26

#alevel #H2 Maths suggested answers & solutions done on a really quiet night: http://t.co/dL0j7RWj (no twang twang twang this time) #math

3. Wee Keat tweeted

2012
Nov
7
Wed
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27

#alevel #H2 Maths suggested answers & solutions done on a really quiet night: http://t.co/dL0j7RWj (no twang twang twang this time) #math

4. Lau Hui Ru tweeted

2012
Nov
7
Wed
2:40pm

28

#alevel #H2 Maths suggested answers & solutions done on a really quiet night: http://t.co/dL0j7RWj (no twang twang twang this time) #math

5. Darryn Ong tweeted

2012
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