2010
Tue
26
Oct

# GCE O Level Oct/Nov 2010 E-Maths 4016 Paper 1 Suggested Answers & Solutions???

(43)
Tuition given in the topic of Miss Loi the Tutor from the tuition centre desk of at 11:40 pm (Singapore time)

The first skirmish in this Week of Mathematical Armageddon occurred this afternoon, and since then the Battle Control Centre that is The Temple has gone into overdrive with reports from the battlefields across Singapore.

Thank you Ms Loi. Today’s paper was relatively easy.

Paper one went relatively well =)

2day was easy!

I found the paper very manageable. I had time to re-check.

Ms Loi!! The paper hard siak!!!!!!! (Miss Loi: Aiyooo … *shakes head*)

Interspersed among these frantic messages were more frantic messages and calls from unknown students who allegedly “couldn’t stand the uncertainty anymore” and kept pestering asking Miss Loi when would the EMaths Paper 1 solutions be posted up.

Unfortunately, since the answers were written on and handed in together with the question paper, the ‘O’ Level EMaths Paper 1 question paper tends to be a bit of a holy grail of exam papers these days.

And since The Temple does not have the evil policy of asking its students to steal, smuggle or even copy out the questions during the exam itself (obviously, ANY spare time is better spent on checking the answers more than anything else), Miss Loi unfortunately couldn’t produce any solution without the questions.

But as fate would have it, just as Miss Loi was letting out a sigh of resignation, a student strode into The Temple, held a couple of pieces of paper high in the air and exclaimed “MY SOLUTIONS!!!!!!!!!”

And so in order the pacify the anxious callers, this is what Miss Loi can offer here for now as far as 2010 EMaths Paper 1 goes (in the absence of the question paper):

O-Level October/November 2010 EMaths 4016 Paper I Solutions (Tentative)

Please understand that these solutions have NOT BEEN CHECKED BY ANYONE AT ALL, apart from the student who claimed to have 45 mins of spare time to do this during the exam (aiyohh …), and there are bound to be some mistakes (in fact the student-in-question has already admitted some have been spotted). But given the situation this would have to do for all of you who are anxious to see if anyone gets the same answers as you. Alright the verified ones are up above (albeit late – sorry Miss Loi’s students don’t possess superhuman mega memory abilities to recall the entire set of EMaths Paper 1 questions ) So do leave a comment should you spot something that isn’t right, and do pardon the messy chunk of words towards the end.

But MOST IMPORTANTLY, it’s time to turn your attention to tomorrow’s EMaths Paper 2, and here are some of the remaining topics that you may want to focus on:

One down, one or three (depending on whether you take AMaths) more maths papers to go! It’s coming thick and fast now!

ALL THE BEST & GANBATTE!

### Revision Exercise

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

1. TYS commented in tuition class

2010
Oct
27
Wed
10:44am

1

Thks for your tentative solutions for 2010 EM P1. I am inquiring why 1/ 2*x^-5 = x^5/2 for Q4(b) since this question is NOT 1 / (2*x^-5) , right? Shouldn't it be 1/2 * (x^-5) ?

• 2010
Oct
30
Sat
8:30pm

1.1

@TYS: Actually, the division sign (÷) is akin to the fraction bar separating the numerator from the denominator i.e. a ÷ b = a/b.

So in the case of Q4(b), 1 ÷ 2x−5 = 1 / (2x−5)

and thus the answer to Q4(b) in the final solution tallies with the one in the tentative solutions.

2. peter commented in tuition class

2010
Oct
27
Wed
11:45am

2

im pretty sure the ans for number pattern is 2n+1 , 2n+3 can anyone confirm this?

3. Fred commented in tuition class

2010
Oct
27
Wed
7:05pm

3

As for the 2n-1 thing, i think 2n-3, 2n-5 is possible. Of course 2n+1 and 2n+3 are definitely correct. Question nvr specify if it was decreasing or increasing, and patterns can be decreasing as well.

• Sanchez replied to Fred’s comment

2010
Oct
30
Sat
3:27pm

3.1

@Fred: actually if you read properly, you would be able to infer its increasing pattern

4. commented in tuition class

2010
Oct
27
Wed
9:21pm

4

For question 14b), the answer is 3.33 nanoseconds, not 3 X 10^17 nanoseconds. Calculation error somewhere...
For question 8, is it okay to draw just one line with a full dot above -3 and a circle above 7? I've done that previously but I'm not sure if Cambridge accepts it...
@Peter: Confirmed and checked with my school's maths teachers. It's 2n+1 and 2n+3. Good job!

• 2010
Oct
30
Sat
8:41pm

4.1

Just the solitary line is sufficient as reflected in the amended final solutions.

The shaded region (drawn in the tentative solutions) is typically used in AMaths to depict overlapping ranges in solution sets on a number line.

5. Raymond commented in tuition class

2010
Oct
27
Wed
9:56pm

5

When will the paper2 solutions be out? By tonight??

6. shu yi commented in tuition class

2010
Oct
27
Wed
10:12pm

6

hi i already counted my total marks for p1 and p2 and it's between 93 and 95... but some say even this mark cannot guarantee A1, is it true?

• replied to shu yi’s comment

2010
Oct
27
Wed
10:28pm

6.1

@shu yi: @Shu Yi: A1 marks will never go that high... The highest ever seems to be around 85. It will never be above 90... Even professionals make mistakes, you know.

• 2010
Oct
31
Sun
10:04pm

6.2

@shu yi: According to The Seer this year, 86.1% (3 sig. fig.) should bag you an A1

... estimating A1 to be 155/180, A2 to be 145/180, B3 to be 135/180 and B4 to be 125/180

However Miss Loi has always advocated aiming for "85% for A-Maths and 90% for E-Maths to get an A1!" to allow for unknown/hidden marks lost through workings, significant figures etc.

But then again there's the nasty polygonic parasite X to wreck havoc so grades cut-offs may be a little more realistic this year..

Anyway, it's over so don't dwell too much into it ok? Ganbatte for your remaining subjects!

7. torrers commented in tuition class

2010
Oct
27
Wed
11:27pm

7

I agree with fred. it could be either way, up or down. this is a ambiguous case.

8. cheryl commented in tuition class

2010
Oct
28
Thu
9:31am

8

Hi ms loi, for 2010 emath p1 sets question, will they penalize if i never put the curly bracket?

• 2010
Oct
29
Fri
1:57am

8.1

@cheryl: { yes } , unfortunately

• cheryl replied to Miss Loi’s comment

2010
Oct
29
Fri
6:21am

@Miss Loi: But the whole question is 3 marks. So will they minus all 3 marks :'-(

• 2010
Oct
30
Sat
12:06am

@cheryl: The problem here is that Q12 is split into three parts carrying 1 mark each, so your hope hinges on Cambridge markers being lenient enough to award half a mark for each of the answers.

However, Miss Loi has seen ruthless local schools' exam markers typically throwing zeros in such cases since this is a full-fledged sets question.

9. cheryl commented in tuition class

2010
Oct
28
Thu
9:35am

9

Hi ms loi, for emath p1 2010, will they penalize if i never put the curly bracket when listing the elements for the sets question

10. Fred commented in tuition class

2010
Oct
28
Thu
6:51pm

10

2n-1 question. ambiguous ba. tsk!

11. liliting commented in tuition class

2010
Oct
30
Sat
12:09am

11

er will 50 marks will it be a c6 or d7?

12. liliting commented in tuition class

2010
Oct
30
Sat
12:11am

12

i super worrrrying now ><

13. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2010
Oct
30
Sat
12:12am

13

Folks, just a shoutout that the tentative 2010 EMaths P1 solutions has been updated with Miss Loi's verified worked solutions to 2010 EMaths Paper 1.

Have a look at the full set (incl past years' solutions).

14. liliting commented in tuition class

2010
Oct
30
Sat
12:16am

14

miss low will c6 = 50 marks?

• 2010
Oct
31
Sun
12:54am
15. sharon commented in tuition class

2010
Oct
30
Sat
3:22pm

15

miss loi,may i ask you,for paper 1 question 22a,i wrote 4n-1 and 6n-1,is it possible? sorry,i forgot the exact question,so i wish to ask u,thx.

• 2010
Oct
30
Sat
8:44pm

15.1

@sharon:

Q22(a) Given that n is an integer, write down expressions for the next two odd numbers after 2n − 1.

Care to share how did you arrive at 4n − 1 and 6n − 1 (as did some other students)?

16. Sanchez commented in tuition class

2010
Oct
30
Sat
3:29pm

16

i'm sorry, but apparently you misread the question for the probability question. It says all the dice are thrown at the same time. So for the last part, you can't x 3 for the answer

• 2010
Oct
30
Sat
5:30pm

16.1

@Sanchez: Alright Q11(c) asks

If three dice are thrown at the same time, what is the probability that the total of the three numbers shown is 17?

First of all can we agree that for this to happen, one of the the following three cases has to occur?

6,6,5
6,5,6
5,6,6

Taking the first case: what is the probability that when three dice (let's label them A, B and C) are thrown together, we get Dice A showing 6 AND Dice B showing 6 AND Dice C showing 5?

Since whatever each dice ends up with is independent of the other two dice, we multiply i.e.

P(6,6,5) = 1/6 × 1/6 × 1/6

So it follows that

P(6,5,6) = 1/6 × 1/6 × 1/6
P(5,6,6) = 1/6 × 1/6 × 1/6

However we only have one chance to throw the three dice together. So we'll either get 6,6,5 OR 6,5,6 OR 5,6,6 i.e. P(6,6,5), P(6,5,6) & P(5,6,6) are mutually exclusive events since when one occurs the others cannot possibly occur
⇒ so we add them up ...

∴ P(Sum of 3 dice = 17) = P(6,6,5) + P(6,5,6) + P(5,6,6)
= (1/6 × 1/6 × 1/6) + (1/6 × 1/6 × 1/6) + (1/6 × 1/6 × 1/6)
= (1/6 × 1/6 × 1/6) × 3
= 1/36

17. UNKNOWN commented in tuition class

2010
Oct
30
Sat
9:36pm

17

HELLO im new here.
can i know how do i view the solution?
Open with what progarm?

• 2010
Oct
31
Sun
9:37pm

17.1

@UNKNOWN: The files are in created in PDF format - viewable by Adobe Reader, which should come pre-installed in most modern computers these days.

18. Fred commented in tuition class

2010
Oct
30
Sat
9:55pm

18

Miss loi, do you for the (2n-1) question, can i put the next two numbers as (2n-3) and (2n-5)?

Thanks!

• 2010
Oct
31
Sun
9:55pm

18.1

@Fred: There has been some discussion with regards to the ambiguity of Q22(a).

Q22(a) Given that n is an integer, write down expressions for the next two odd numbers after 2n − 1.

While Miss Loi hopes that Cambridge markers will allow 2n − 3 & 2n − 5 to stand, deep, deep, deep, deep, deep down in the layperson part of her tender heart, she suspects that the word next in the question is meant to be increasing in the positive sense

19. Faye commented in tuition class

2010
Oct
31
Sun
3:19am

19

i cant open the e maths paper 1 solution. is there anyway to get it?

20. ah seng commented in tuition class

2010
Nov
15
Mon
12:49pm

20

Hi thanks for the answers! May i ask for question 22, how many marks is that full question? thanks

• 2010
Nov
16
Tue
10:56pm

20.1

@ah seng: *digs out the question paper*

Q22:

Part (a) - 1 mark
Part (b)(i) - 1 mark
Part (b)(ii) - 1 mark
Part (c) - 2 marks
==============
Total 5 marks

Now does Miss Loi get full marks for answering this?

### 6 Reactions

1. Miss Loi tweeted

2010
Oct
26
Tue
4:14pm

21

The most tentative EMaths Paper 1 solutions I've ever put up, along with topics to focus on for Paper 2: http://bit.ly/aXcIxq

2. Alvin Wong tweeted

2010
Oct
26
Tue
4:18pm

22

RT @MissLoi: The most tentative EMaths Paper 1 solutions I've ever put up, along with topics to focus on for Paper 2: http://bit.ly/aXcIxq

3. Wanyu Lee tweeted

2010
Oct
27
Wed
1:29pm

23

http://bit.ly/akB6c5 this is e link to the suggested ans for paper1 em..

4. Emily tweeted

2010
Oct
27
Wed
2:26pm

24

RT @MissLoi: Retweet This Blog Post http://bit.ly/96XM82 GCE O Level Oct/Nov 2010 E-Maths 4016 Paper 1 Suggested Answers There goes my marks

5. 2010
Oct
30
Sat
8:34am

25

RT @MissLoi: Retweet This Blog Post http://bit.ly/96XM82

6. 2010
Nov
14
Sun
1:08pm
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