## 2010 GCE O-Level Mathematics 4016 Paper 2 Worked Solutions

October 27, 2010Wei Jie 46 Comments »Just managed to type out the GCE O-Level Mathematics 4016 Paper 2 worked solutions. Same thing, if you happen to spot any careless mistakes, simply leave a comment below.

The solutions to the 2010 Mathematics Paper 1 and 2 have been uploaded here:

Posted on October 28th, 2010 at 12:59

i think your Qn 6c should be 42/x – 42/x-0.5 = 10/60 since john is faster than peter by 10 min

Posted on October 28th, 2010 at 13:02

sry its correct

Posted on October 28th, 2010 at 13:20

Could we get a scan of the P2 Graph? We won’t be able to check our answers with just values.

Posted on October 28th, 2010 at 15:30

Can you check the answer for question 5 again??

I think the answer should be wrong

Posted on October 28th, 2010 at 17:17

nic . qns 5 ans is correct . abcde is points of a polygon . x isn’t

Posted on October 28th, 2010 at 17:33

@Nic

question5 isn’t wrong, CXD isn’t part of the polygon..

Posted on October 28th, 2010 at 18:48

yeah i freaking thought it was part of the polygon till the last 10 min.

Shouldnt the graph have 2 curve, with one at arnd day 70, though its the end point. I thought math has to join all point unlike sciences.

Also gradient for graph is negative.

Thanks

Posted on October 28th, 2010 at 18:56

Oops I didnt realise that the gradient has been edited. Anyway the explanation is wrong. Decreasing at -0.027kg/day means that it is increasing.

Posted on October 28th, 2010 at 19:06

Q6d do we nid to reject one of it?

Posted on October 28th, 2010 at 19:25

I agree with woots why draw a best fit line for the graph, its maths not chem/physics.

@:P 😀 I don’t think so because that x can be both positive OR negative unless its being subsituted into the eqn like 6e at which point you do reject the negative answer.

Posted on October 28th, 2010 at 19:47

Dont have to reject. They asked you to solve the eqn. Not the speed of John. So the negative value is still a solution. Reject it at the next part.

Posted on October 28th, 2010 at 20:48

No amaths?

Posted on October 28th, 2010 at 20:58

@ woots agree with you.. for the graph all point was suppose to be join not a straight line..

Posted on October 28th, 2010 at 21:12

Is there a need to include the table of values for the graph?

Posted on October 28th, 2010 at 21:23

For Qn 7d part i,

I think its abit confusing… They say the fence is formed by panels UP TO 3 metres long… Dosent it mean that the panels isnt a fixed 3 metre???

Panels can be bought at any length up to 3 metres… Can’t we Buy 25 and 0.878 panels?

Posted on October 28th, 2010 at 21:27

Cuz no shop will be able to sell the 0.123 <– common sense explanation.

Posted on October 28th, 2010 at 22:05

For question 6 the last part shouldn’t it be 34 secs since he can’t complete the race in 33 secs ?

Posted on October 28th, 2010 at 22:12

question 5 why find exterior angle?they want angle XCD isnt it use (n-2)x180/n?

Posted on October 28th, 2010 at 22:14

then 180- the answer divide it by 2? sorry for double post

Posted on October 28th, 2010 at 22:19

Why not? since its up to 3m u can measure the length that u want… Have u ever seen a fence with overhanging side??

Posted on October 28th, 2010 at 22:49

@tan

Then you might as well consider the possibility of the value of the dollar in interests and other totally irrelevant factors like the frictional force and wind speed when peter and john are running in the marathon. It’s a maths paper, not a life paper. Use the given circumstances and use common sense. No creative thinking is required.

Posted on October 28th, 2010 at 23:02

I think the graph question is wrong.

Question did not ask for best fit. There should be 2 turning points, in order to do last part

Posted on October 28th, 2010 at 23:41

So about the timing, 33s or 34s ? John could not have completed his race in 33s right although its 33 when rounded off

Posted on October 29th, 2010 at 13:55

La, and everyone else who sent in emails:Sorry to keep everyone waiting! Feel free to discuss about Additional Mathematics 4038 paper 1 and paper 2. The worked solutions have been posted on MathsGuidebook.com.Tan, Lee, tte:Ok, honestly I did not notice the part ‘up to’. But what you have said is right. Well, I guess for the case of 7(d)(i), you’ll have to buy 26 panels and cut the last one yourself 😀 Here’s something to discuss… how about textile? If you were to buy some cloth at $10 per metre (not square metre! visit your nearest textile store for more details), are there shops that sell 2.5 metres or 6.25 metres of cloth?😛 :D:Not yet, reject in part (e) instead, since x has to be positive in this case. Part (d) only requires one to solve the equation. Since it’s a quadratic equation, give the two solutions.Ace:I would round it to the nearest integer.Marcus, Woots, qwerty, Lol:Thank you for your comments! I’ll make changes to the graph accordingly and upload it soon! The curve has to go through all the points where possible.Esther:It’s not necessary, although some schools will want their students to include the table of values.Posted on October 29th, 2010 at 16:43

Do we have to retake our maths O level exam or the percentage will be brought higher because the solutions being released? …

Posted on October 29th, 2010 at 16:49

DMD:Nothing will be affected, the solutions were only created and released after the paper.Posted on October 29th, 2010 at 18:16

About qn 7, part d(ii), I feel that the number of post should be 28, as there was 1 extra at the beginning of the panel, there should be 1 extra at the end too.

Posted on October 29th, 2010 at 18:41

@Noname:

1 panel -> 2 posts

2 panels -> 3 posts

3 panels -> 4 posts

…

…

…

Posted on October 29th, 2010 at 20:51

I was wondering~ will the marker penalize because the answer is not in order? because i wrote my question 8 and 10 answer together in the same foolscape,so i was force to put my qns 9 graph paper in the last~ so its not in order

Posted on October 29th, 2010 at 20:56

Answer sheet is not in order*

Posted on October 29th, 2010 at 22:59

Is 233degree accepted instead of 233.3degree? For the bearing question.

Posted on October 30th, 2010 at 15:30

Regarding question 7di) Shouldn’t we round down the panels to 25 instead rounding up to 26? Doesn’t really make sense because it won’t fit the wall due to the oversize. We should just leave it as 25 and put the poles in instead of buying an extra one that would certainly not help in builing up the walls? Doesn’t really make sense right?

Take this as an example.

You have a box which can keep a limited number of books. You did the correct and original calculation like question 7di) and you found out that it’s in decimal place of 19.67999 books. How can you round up and squeeze the 20 books into the box which will eventually destroy the whole box? Or how can you cut the other book in 0.6999 portions of the book and make it fully packed? The leftover spaces should be ignored as the maximum number of books is already attained.

This is just my interpretation, not a hate comment. Please don’t mind and i’d be happy if you can share your views too.

Posted on October 30th, 2010 at 18:01

@AnoymousA

I dont think cambridge want students to think that way..

Posted on October 30th, 2010 at 19:53

@James: They won’t penalise. Half of us were instructed to put the graph at the back. The other half simply put in order. They aren’t supposed to penalise for that.

@Martin: Should be accepted. Some learn as 3 digits (aka an integer), others learn to 1 decimal place.

@AnoymousA: Hmm, perhaps this confusion lies with the interpretation of the question. Its true that if you use each panel as 3m, you will get an answer midway between 25 and 26. Lets say you take 25 3m panels, true. But then there is a section unaccounted for. The question did say ‘up to’, so you can order one more panel shorter than 3m to get 26 panels in total, just the right length for the length RS.

Posted on October 30th, 2010 at 22:25

For question 6e, I round up to 34 secs instead of 33 secs. Will they deduct 1 mark?

Posted on October 30th, 2010 at 23:34

@Me: Not sure. But very likely that they will..

Posted on October 31st, 2010 at 00:19

@Ash I forgotten the marks given for the part di). Will there be any working marks for my misinterpretation but a correct step of solutions?

Posted on October 31st, 2010 at 01:24

@Ash Oh ya, regarding the “up to” stated in the question. Doesn’t it mean the maximum panel that can only be fix into it?

Posted on October 31st, 2010 at 14:11

for the panel question, isn’t it 28 panels?

Posted on October 31st, 2010 at 16:01

@AnoymousA: Its 1 mark. No working marks. The ‘up to’ means that panels can come in any lengths up to 3m. It doesn’t refer to the overall total for the length to be covered itself.

@Hello: Nope. Its 26 panels.

Posted on October 31st, 2010 at 23:55

Qn 6(b)shuld be 84/(2x-1) instead of 42/(x-1/2) cause we cant have fraction nor decimal in fraction~

Posted on November 1st, 2010 at 19:35

1b, the answer of the bearing of D from B should be 3 significant figures, which will be 233 degree, instead of 233.3 degree.

thankyou~ 😀

Posted on November 1st, 2010 at 20:17

The polygon thing too away too much of my marks! & the on the race thing, how many hours,minutes & SECONDS?! This paper is tricky! 🙁

Posted on November 1st, 2010 at 22:12

@Nameless: you know, there is a function on your calculator that will give you the answer straightaway.

Posted on November 5th, 2010 at 16:08

@Sissy if u have been doing maths long enought ALL degree need to be corrected to 1 decimal place which includes bearing so 233.3 is correct

Posted on November 7th, 2010 at 22:56

@nameless

The calculator got a button which gives you the direct answer.