2013
Wed
23
Oct

# Of The GCE O Level 2013 E-Maths 4016 Paper 2 Suggested Answers & Solutions

(20)
Tuition given in the topic of Miss Loi the Tutor from the tuition centre desk of at 10:51 pm (Singapore time)

… continued from here.

*BANG* *SLAP*

Professor Loi, I managed to start it up again!

said The Expedition Leader as a logo of a fruit lit up the dusty screen of the iPad Air.

What have I always told you about China-made nuclear products? *tsk tsk*

Anyway, let’s see what happened on O Level EMaths Paper 2 in 2013! I can literally feel their excitement a millennium later!

*giggles and jumps up and down like a siao char bor*

23 Oct 2013

#### The Walls Whisper My Name

The Wall of Gratitudes, The Second Temple circa 2013

The last AMaths student has just left The Temple, leaving me alone to scribble out the much-demanded 2013 O Level EMaths 4016 Paper 2 suggested solutions, under the glare of the majestic Wall of Gratitudes.

Fending off the irritating drilling from the renovation works at Udders Ice Cream downstairs, as well as the despairing fact that the United Square foodcourt has closed for the day (which means another 吃风 night), I focused on the task at hand, with only the silent encouragement from the words on the Wall to spur me on …

Click the button and grab it here!

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

Note:

1. Before you ask questions like “I lost x marks in Paper 2, can I still get A1/A2/B3/B4/pass?” or “What is the cutoff for A1/A2/B3/B4/C5/C6/D7/E8/F9 this year?”, please understand that Miss Loi is NOT the Bell Curve Goddess.
2. Please also understand that, unless things have changed, there is no half-mark awarded in O-Level Maths. Also it is nigh impossible for ECF if the part involved only carries 1 mark.

I wish all those taking AMaths Paper 1 tomorrow All THE VERY BEST.

Till the next journal entry …

*self power-off*

### Revision Exercise

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

1. changing-too-much commented in tuition class

2013
Oct
23
Wed
11:22pm

1

Ms Loi! why is standard deviation the same 🙁 i wrote that but after reading again, the question is like saying that how it changes. 🙁 why... last qn btw.

• 2013
Oct
26
Sat
7:59pm

1.1

The standard deviation measures the spread of a set of data from its mean.

In Q10(iv), it was found that the heights were all 5 cm less than what was recorded
⇒ all values have fallen by 5 cm but spread is unchanged.

To put this (very) simplistically, for e.g. A's height is 20cm while B's height is 10 cm.
The difference in their heights (as a rough measure of A's 'spread' from B) is thus
20 cm − 10 cm = 10 cm.

If both A and B's heights are reduced by 5 cm, A's height becomes 15 cm and B's height becomes 5 cm.
But the difference in their heights is still 15 cm − 5 cm = 10 cm

If you still don't believe Miss Loi, here's a detailed calculation of the "new" standard deviation after all heights are reduced by 5 cm

xffxfx²
151115122801
155115524025
157115724649
159115925281
162116226244
163116326569
166116627556
167233455778
169116928561
173117329929
176117630976
178117831684
185118534225
Σ142328388278

New standard deviation = ≈ 9.12 (3sf)
= Original standard deviation!

2. Tom Teo commented in tuition class

2013
Oct
23
Wed
11:24pm

2

Miss Loi if i estimate that i score 93% for overall do you think is an A1 or A2

3. vonne commented in tuition class

2013
Oct
24
Thu
10:28am

3

May i know the acceptable gradient range??? is it plus minus one?
ALso for 6bii, can i just calculate QP and halved it or must i prove its similar... will i get any marks if i did not prove similar???

• 2013
Oct
27
Sun
2:23am

3.1

@vonne: Yes there'll always be a tolerable range of answers when it comes to graph plotting questions. Every year, Miss Loi has to say this:

As long as you've demonstrated that you've obtained the gradient (within a tolerable range) at the point via calculating the gradient of your suitably-drawn tangent based on selected coordinates from your plot, you'd be fine 😉

For Q6(b)(ii), since it's been given as a regular hexagon, we can probably assume that OA bisects ∠QAP (actually this is an obscure property of regular polygons) and hence QX = XP.

So though it may not be necessary to go through the similarity proof, it's good to at least state something like the above just to be on the safe side, even though this part only carries 2 marks.

4. Ace commented in tuition class

2013
Oct
24
Thu
2:43pm

4

Hi Miss Loi! Would like to ask, as for qns 4aii.) Is the ans 'n^2 + 2' , accepted? Or do you have to add the extra 'n' after '..+2' ?

5. JeeeepJeep commented in tuition class

2013
Oct
24
Thu
5:20pm

5

Hey, just a question. For q8, the whole question i used the correct method but calculation was off. I took OB=sin20 x 0.6m instead of 0.6/sin20. And my whole question was wrong, will there be any ECF to make up for the heavy loss of marks? T_T

• 2013
Oct
27
Sun
1:55am

5.1

Depends on the mark scheme but maybe, just maybe, you'll get something out of Q10(a)(iii) and (b) which has a total of 8 marks to spare for some method marks.

Only if you have very clearly showed the correct application of formula and steps in your workings though.

6. Tan Xin Yu  commented in tuition class

2013
Oct
24
Thu
5:50pm

6

Hey, For Qn8 (aiii) can i leave my answer to 3sf which is $162 instead of$161.97 since the cover page mentioned "non exact values to 3sf" . PLEASE LET ME KNOW IT MEANS SO MUCH TO ME T-T

7. vonne commented in tuition class

2013
Oct
24
Thu
8:48pm

7

I got 9 marks gone for paper 2
is it possible for me to still get a1 if my paper 1 only got three marks gone?

8. confused commented in tuition class

2013
Oct
25
Fri
12:23pm

8

Hey. What if I change the angle in radian wrongly but the subsequent parts need to make use of the angle in radian. Will I get the full marks for the subsequent question if I use the correct method but wrong angle? Thanks!

9. super worried commented in tuition class

2013
Oct
27
Sun
2:11pm

9

Miss loi, for question 8 what if i take 180/pie *40 instead of pie/180*40 to fins angle in radian, will they give me me
thod marks?

10. sai commented in tuition class

2013
Nov
20
Wed
11:07am

10

Hi All

I found the suggested solution and answer only. where can I get the question paper?? Please

11. Mily commented in tuition class

2017
Oct
22
Sun
3:32pm

11

Hi, do i need to leave percentage in exact form or3sf? I am referring to qns 10 bi)