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# GCE O Level Oct/Nov 2011 E-Maths 4016 Paper 1 Suggested Answers & Solutions

(32)
Tuition given in the topic of Miss Loi the Tutor from the desk of at 11:33 pm (Singapore time)

Updated on

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Latest version:

• 1.3: added “marks” to the answer for interquartile range in Q23(a) for completeness’ sake.
• 1.2: added brackets to answers of Q15(b) to make all terms ‘inclusive’ to the radian unit.
• 1.1: reflect changes in Q22(b)

As usual, please leave a comment should you spot any mistake in the solution – Miss Loi was still teaching at The Temple until an hour and a half ago!

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
• Quadratic equations (word problem)
• Simple algebraic fractions & equations
• Number patterns
• Inequalities
2. Application of mathematics in practical situations

• Profit & Loss
• Compound interest & simple interest
• Money exchange
• Hire purchase
3. Trigonometry

• TOA CAH SOH
• Sine/Cosine Rule
• Area of triangle
• Bearings
• Angles of elevation/depression
• Shortest distance
4. Mensuration
5. Angle properties of polygons + finding number of sides of polygons
6. Vectors
7. Probability

• Probability tree diagram
• Possibility diagram
8. Statistics & data analysis

9. Graph sketching on graph paper

One down, one or three (depending on whether you take AMaths) more maths papers to go!

ALL THE BEST & GANBATTE!

### Revision Exercise

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

Comments & Reactions

### 28 Comments

1. Han LowJumper Zhong Liang commented in tuition class

2011
Oct
27
Thu
11:54pm

1

I would like to ask if 2 s.f. or 3 s.f is suitable for question 22bi and 22bii

• 2011
Oct
28
Fri
12:55am

1.1

Hah! It should be 2 sig. fig. for Q22(b)(i) & (ii) since

When quantities are multiplied or divided, the number of significant figures (i.e. the reasonable level of accuracy) in the answer is equal to the number of significant figures in the quantity with the smallest number of significant figures.

Miss Loi has amended the answers to Q22(b) and uploaded version 1.1 of the solution to reflect this (with an added note at the relevant spot).

Thanks for pointing this out!

2. Maisie commented in tuition class

2011
Oct
28
Fri
8:48am

2

Hello ms loi.
For qn 22bii, isit a must to leave in standard form? The question didnt state.

• 2011
Oct
28
Fri
2:57pm

2.1

@Maisie: While Miss Loi thinks it's fine not to leave it in standard form (the question didn't ask for it as you said), your final answer should be in 2 sig. fig. i.e. 22 000 000 to achieve a "sensible degree of accuracy" (yeah I know this is mentioned in part (b)(i) but the principle still holds), since like in (b)(i), the accuracy of your answer is still limited by the 2 sig. fig. of your 6.1 × 107.

3. Hi.... commented in tuition class

2011
Oct
28
Fri
10:24am

3

Miss loi, for question 12(b) , I didn't see the volume should be change to it's original form, which is 14.5. But I did change the 43 to 43.49 and I got 2.9 which is the wrong answer. Will I get 1 mark for it?

4. Discuss commented in tuition class

2011
Oct
28
Fri
11:03am

4

For qn 5, the answer should be an expression right?

• 2011
Oct
28
Fri
4:26pm

4.1

@Discuss: ??? The question did ask to "find an expression in terms of x and y ..."

Perhaps you're asking if "litres" should be included?

In this case, many TYS solutions for very similar "find an expression in terms of ..." word problems include the unit as part of the algebraic expression - so Miss Loi tends to include them just to be safe.

But then again, there are also some that don't include them so Miss Loi feels this isn't critical unless we're specifically told to do so in the question (which we weren't in this case).

Would welcome feedback from anyone who has received a clear directive from your school/cher/Maths HOD Overlord on this 😛

5. Kekeke commented in tuition class

2011
Oct
28
Fri
6:17pm

5

Question 12b, if you times 3.00 by 15 again, it wouldn't be possible anymore. Some people answered with 2.99 instead. So, which one issit?

• 2011
Nov
13
Sun
8:06pm
6. JACK commented in tuition class

2011
Oct
28
Fri
6:23pm
7. abhishek commented in tuition class

2011
Oct
28
Fri
8:23pm

7

for Qsn 22b, they won't accept 3 sig fig at all? how many marks will i lose for not putting in 3 sf?

• 2011
Oct
29
Sat
12:59am
8. Peace commented in tuition class

2011
Oct
28
Fri
9:21pm

8

hi, for q12b, why is the answer 3.00 and not 2.99 since 3.00x14.5=43.5 which would not result in 43g?

• Peace replied to Peace’s comment

2011
Oct
28
Fri
9:23pm

8.1

@Peace: and why would the sensible accuracy refer to 2sf and not 3sf as stated in the instructions?

• 2011
Oct
29
Sat
12:57am

8.2

@Peace: Miss Loi thinks we'd all agree that the 'exact' greatest possible mass of 1 cubic cm of glass is 2.99999999999999999 ... g.

But we have to leave this final answer in 3 sig. fig. (as per the instructions), thus we round it to 3.00.

However by doing this there is already a loss of accuracy in this value of 3.00.

So if you work backwards by multiplying this already "inaccurate" 3.00 by 14.5 will yield a value of 43.5 whose accuracy has been affected by the earlier rounding of 2.999 ... to 3.00. In this case this "43.5" is actually round up of something like 43.499999 ...

This is why it has always been stated in our syllabus document that

“Unless stated otherwise within a question, three-figure accuracy will be required for answers. This means that four-figure accuracy should be shown throughout the working, including cases where answers are used in subsequent parts of the question. Premature approximation will be penalised, where appropriate.

... which essentially means final answers should not be used directly to compute something else - something which Miss Loi has discussed blogged about before.

9. Sien... commented in tuition class

2011
Oct
28
Fri
9:43pm

9

Hi miss loi,
I've a few question to ask you:
1)Can predict the score needed for maths paper to get A1 and A2.
2)Would i get my marks if i did not label the bisector
3)Can i leave 2a part (II) as 22344322 instead of
Thanks!

10. Anonymous commented in tuition class

2011
Oct
28
Fri
9:48pm

10

Hi miss loi. Can I leave my answer in standard form, 1.34 x 10^2, for question 22(a)?

11. Hisham commented in tuition class

2011
Oct
28
Fri
10:02pm

11

For qn 18ai,ii and iii, what if i put my answer just as 9, -2 and 1/4 respectively?

12. Hi commented in tuition class

2011
Oct
28
Fri
10:29pm

12

Hello! If i did not put the units for the questions on angles (158-x), will i be penalize?

And the interquartile range should there be "marks"?

>Darn! I got the "P" wrong. DX

• 2011
Nov
13
Sun
9:20pm

12.1

@Hi: In school exams, absence of essential units (like the ° sign in this case) will cost you marks (often half a mark) but as always in one-mark questions - it'll depend on how strict Cambridge's gonna be on this :\

For the interquartile range in Q23, it's arguable if the word "marks" is considered an "essential" unit but seeing it being a 2-mark question and that most textbook answers include it, Miss Loi has included it as well in v1.3 for completeness' sake.

13. Liqing commented in tuition class

2011
Oct
29
Sat
12:49pm

13

Hi Miss Loi, I calculated my total marks for p1 and p2 and i got over 60 but less than 65, you think that will be a B4 or B3?

14. yoyoyo commented in tuition class

2011
Oct
29
Sat
2:26pm

14

Hi, question 24 c) dat speed time graph , can i link the 3 line together? and should i label the bisector ? 18aii) can i put as 1/7^2 ? And u think that 80 marks can get A?

15. yoyoyo commented in tuition class

2011
Oct
29
Sat
6:06pm

15

pls reply pls , or else i gonna haf a moody holiday lol

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