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# GCE O Level Oct/Nov 2012 E-Maths 4016 Paper 1 Suggested Answers & Solutions

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Tuition given in the topic of Miss Loi the Tutor from the desk of at 11:53 pm (Singapore time)

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Act I, Scene 2
Miss Loi’s Temple, Courtyard

TWAAANG! …

The playing of her guzheng was interrupted by hurried footsteps.

[Enter CHIEF DISCIPLE]

The Chief Disciple of The Temple appeared and rushed forward to kneel on one knee before the High Priestess.

My High Priestess 教主! Please forgive me for my interruption! But the thousands on our Facebook Page are getting impatient!

She stopped mid-way through her slooooooow tune.

These days there’s no time to even sit down and play a song after a late, late joss sticks session on the eve of EMaths Paper 2.

Very well then …

Suddenly, she began to play her guzheng faster and faster …

twaaang! twaaang! twaaang! TWAANG! TWAANG! TWAANG!

… until the following shot out from within the strings on the musical instrument.

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 🙁

N.B. As usual, please, please leave a comment should you spot any mistake in the solution. As uttered by the High Priestess, she was still deep within a joss sticks session just an hour ago!

Next, she threw out another swarm of daggers …

Now for Paper 2: Here’s a list of possible topics that may appear for tomorrow’s Paper 2.

1. Algebra (changing the subject of a formula, simultaneous equations, completing the square)
2. Arithmetic (percentages, ratios, interest, money & hire purchase, speed etc. – may still appear even though P1 already contains some)
4. Trigonometry (three-dimensional problems, bearing, angles of elevation/depression etc.)
5. Probability
6. Statistics (cumulative frequency curve, box & whisker)
7. Mensuration
8. Geometry (properties of circles)
9. Coordinate geometry
10. Similarity & congruency
11. Graphs (incl. plotting)
12. Sets & Venn diagrams
13. Matrices
ALL THE BEST for EMATHS PAPER 2 & GANBATTE!

[EXEUNT]

### Revision Exercise

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

1. Jason commented in tuition class

2012
Oct
24
Wed
12:42am

1

Hi Miss Loi !

5) Will i still get the mark for value of a = 2 if i did not give two ans a=2 and a=-2 and then reject a=-2?

12a) Is it ok if i put 161 1/3 cm as an exact ans?

14) For entire bearing qn, if i got my point P wrong for first part, would they accept (error carried forward) for part b and c? And still award marks?

Thanks for taking time to read!

• 2012
Oct
24
Wed
3:46am

1.1

@Jason: Q5) Normally marks will be deducted for that (especially in school exams) but since this only carries 1 mark, the best you can hope for is this 1 mark to be fully allocated towards your correct answer of a=2 and nothing else (depending on the mark scheme).

Q12a) No problemo.

Q14) Unlikely, as the wrong position of P will affect the final answers of (b) and (c) which carries only 1 mark each.

Don't dwell on these and time to focus on your Paper 2 instead.

2. Edison commented in tuition class

2012
Oct
24
Wed
8:18am

2

For Q22b) AB is an exact answer. Shouldnt the answer be AB = 11.4378782 ( 7 digits)?

• 2012
Oct
24
Wed
3:21pm

2.1

@Edison: This is something Miss Loi really doesn't like 😕

Apparently all Casio/Sharp calculators used in the exam halls showed 11.4378782 which appears to be exact (since not all digits are used).

On the other hand, a check with online calculators (like one or this one, as well as the ones residing in your Windows or Mac will yield something like 11.43787820165426 ...

As such, it's doubtful that Cambridge really intends it to be this way so Miss Loi believes some leeway will be given accordingly - especially if you've stated that clearly it's meant to be exact or approximated.

3. Despeate Math-er commented in tuition class

2012
Oct
24
Wed
9:20am

3

Hi Miss Loi!! For question 15, I forgot to write the properties such as the angle at centre = 2 angles at Oce, but since they are all only 1 mark questions, do I still get the mark?

• 2012
Oct
24
Wed
3:32pm

3.1

Assuming you have the added security of your workings, it *shoooould* be fine in this particular case since the 1 mark involved would likely go towards the accuracy of your final answer, despite how yim chim your (well-meaning) school teacher used to mark your school exam paper.

Miss Loi though would still advocate students to always state the necessary properties in workings.

4. Tyler commented in tuition class

2012
Oct
24
Wed
9:29am
5. Stacey commented in tuition class

2012
Oct
24
Wed
10:21am

5

May I ask ,why is the question on radius of A which is 50% greater than radius of B is squared instead of being cubed when finding mass? And it is to find the ratio of these two unknowns 🙂

6. Dudeism commented in tuition class

2012
Oct
24
Wed
5:38pm

6

Hi Ms Loi,

For paper 1, is it okay to leave decimal answers in 4 sig figure?

Thank you!

• 2012
Oct
25
Thu
4:25am

6.1

• exact (all decimal places must be present)
• in degrees (one decimal place)
• a currency (nearest cent)
• non-exact otherwise (3 sig fig)

These are stated in the instructions on the first page of your exam paper.

7. Clarence commented in tuition class

2012
Oct
24
Wed
6:45pm

7

Hey Miss Loi,

For question 25(a), since they asked us to express 'as simply as possible', don't we have to extract out the common factors for the answers?

Or are both answers for 25(a)(i), (ii), (iii), accepted? I.e. extracted and not extracted.

Thank you!

Clarence 🙂

8. Denton commented in tuition class

2012
Oct
24
Wed
7:24pm

8

For question 23 c, is it okay if I put 47.9 instead of the full thing?

9. Joel commented in tuition class

2012
Oct
24
Wed
8:22pm

9

For the bearing question in paper 1,if I did not put it in 1d.p. would we get penalised?

10. --- commented in tuition class

2012
Oct
24
Wed
11:27pm

10

For 25a, i take out the common factor and put it as the answer
Will i get full marks?

11. winnie commented in tuition class

2012
Oct
25
Thu
10:31am
12. asdfasf commented in tuition class

2012
Oct
25
Thu
12:00pm

12

Hi...if i never put curly line under vector, is -1 for presentation only right? or -3? D:

• 2012
Oct
26
Fri
6:47pm

12.1

@asdfasf: Miss Loi has always forewarned students before an exam that "You run the risk of getting your ENTIRE vectors question marked ZERO if you don't do this! It has happened before in some unforgiving schools" (source).

After the exam, however, Miss Loi will tend to say that you may NOT even lose a mark for this (esp as this is O Level not school exam) depending on whether this is condoned by the mark scheme - likely it'll be accepted since there are no other variable a or b to confuse things in your working. 🙂

13. Raymond commented in tuition class

2012
Oct
25
Thu
11:29pm

13

Hi! Can the statistic answer be 161(3sf)? cos I thought statistic answers should not leave in fraction? As in the case of the calculator too.

14. Raymond commented in tuition class

2012
Oct
26
Fri
3:07pm

14

Hi sorry but 1 more question from me. If my answer for qn 17c is male but I got 19.4% due to misunderstanding of the qn, will I get 1 or 0 mark?

15. rongrong commented in tuition class

2014
Oct
14
Tue
6:01pm

15

Hi! Do we leave bearing in whole number or it can contain decimal place?

• 2014
Oct
15
Wed
12:39pm

15.1

@rongrong: Whole numbers should be used whenever the final answer is exact, especially when the bearings given in the question usually do not contain any decimal place (i.e. you'd be 'artificially' adding a degree of accuracy if you leave your answer something like 090.0°)

However, non-exact answers in degrees should always be approximated to 1 decimal place. Remember also that your bearing should always contain 3 digits hor e.g. 090° 😉

All the best for your EMaths paper this Friday!

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* Please refer to the relevant Ten-Year Series for the questions of these suggested solutions.