## 2010 GCE O-Level Mathematics 4016 Paper 1 Worked Solutions

October 27, 2010Wei Jie 42 Comments »The worked solutions for the GCE O-Level Mathematics 4016 Paper 1 now available. If you happen to spot any careless mistakes, simply leave a comment below so that I am able to update the solutions.

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

Posted on October 28th, 2010 at 13:20

Qn 11c) All the dice were thrown at the same time.

It doesn’t affects the order. Answer should be 1/216.

Posted on October 28th, 2010 at 15:38

Unknown:The multiplication by 3C1 is not ordering. It is to select one out of the three dice which gives us a 5. If ordering was used, the answer would be 1/6 x 1/6 x 1/6 x 3P1 instead.Posted on October 28th, 2010 at 17:24

But a 5,6,6/6,5,6/6,6,5 is the same as you throw it all at the same time. It does not matter which order it is, the result will still consist of those number there. It’s not the same as you throw a 5, then 6 , then 6. It’s like you throw, all of them reaches the ground at the same time, you can’t calculate the probability of 1/6 x 1/6 x 1/6 x 3.

Do you get what i mean? If you don’t i can give a detailed one.

Posted on October 28th, 2010 at 17:45

for paper 1 qns 7. first part u have to use Completing the square to factorise.

then HENCE solve the second part.

Posted on October 28th, 2010 at 18:10

ALL RIGHT FULL MARKS XD

Posted on October 28th, 2010 at 18:17

Do you have the mark scheme ?

Posted on October 28th, 2010 at 18:25

Pedatorization:Sorry, the mark scheme is not available yet. Sometime next year I guess!Congratulations to all who did well in the paper!

Posted on October 28th, 2010 at 18:32

Unknown:Let us consider a coin, where Head (H) represents 1 point and Tail (T) represents no point. The possible cominations are HH (2), HT (1), TH (1) and TT (0). In this case, to obtain 1 point, we have 1/2 x 1/2 x 2C1 = 1/2. Therefore, we need to consider that each coin can have a different possibility of getting a Head or Tail. Hope this clarifies!Posted on October 28th, 2010 at 18:47

@WJ, if it’s your method, the marks will be 2 instead of 1 marks. It’s not a standard cambridge question, it’s meant to trick students for not reading question carefully.

I still think that the answer should be 1/216 as the probability of getting 17 is always the same no matter what order. The dice are thrown at the same time. It’s not like a typical Cambridge question where they say they throw 1 dice, and pick it up, throw it again, pick it up. With that kind of question, your answer is applicable.

It’s still up to you whether you want to change your answers . Have a great day ahead.

Are you uploading the A maths answers later on?

Posted on October 28th, 2010 at 18:57

Is there the allocation of marks?so that we can gauge our score?

Posted on October 28th, 2010 at 19:18

Wat about the 2n-1 question? can it be 2n-3 / 2n-5?

Posted on October 28th, 2010 at 19:18

What about the 2n-1 question? Can it be 2n-3 and 2n-5?

Posted on October 28th, 2010 at 19:22

@Dot. They say next 2 numbers. So it should be plus instead of minus. It depends though.

Posted on October 28th, 2010 at 20:02

Hey the temperature shuldnt it be t+3 instead of |t+3| if there is modulus then those students that take only e math would not know as modulus is only in a math syllabus. This would be unfair to them. Ans should be t+3.

Posted on October 28th, 2010 at 20:54

qn 10 b i) is the answer 29400 or 2^3 x 3 x 5^2 x 7^2 ?

Posted on October 28th, 2010 at 21:38

i cant seem to open the file. When i opened it, it reveal some foreign language which is illiteral to me. What should i do?

Posted on October 28th, 2010 at 21:52

Guys!!! How much to get A1 during O level ?

Posted on October 28th, 2010 at 21:54

You’re on the news.

Posted on October 28th, 2010 at 21:54

For the 2n-1 question, I believe they might accept both (2n+1,2n+3) and (2n-3,2n-5).

Since they say the next two numbers without stating whether it’s towards the negative way or positive way right ?

Posted on October 28th, 2010 at 21:58

i wrote (2n-3,2n-5) instead of (2n+1,2n+3), hopefully they will accept both

Posted on October 28th, 2010 at 22:00

I doubt so. They said “next”, not “previous”

Posted on October 28th, 2010 at 22:04

for the graph about going to school. i thought the line crawn was supposed to reach earlier than 0820 and not at 0820?

Posted on October 28th, 2010 at 22:14

@LOL should reach at 0816.

Posted on October 28th, 2010 at 22:23

@Stupid Unknown

It doesn’t make a single sense if throwing 17 have the same probability of throwing a 18.

Even the Casino will pay more if you bet on 18 and won than you bet on 17 and won

http://www.chessandpoker.com/dice_strategy_guide.html

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Posted on October 28th, 2010 at 23:04

I put 4n-1 , 6n-1

Posted on October 28th, 2010 at 23:06

And 5a why the answer is that?

Posted on October 28th, 2010 at 23:37

YAAAAAAAAA I MISINTERPRETED THE QUESTION 🙁 🙁 🙁 🙁 🙁 I put 4n-1, 6n-1 too!!!!!!!!!!!!! SIGHHHHHHHHHHHHHHHHHHHH 🙁 🙁 🙁 🙁 🙁 🙁 🙁

Posted on October 29th, 2010 at 00:31

All answers are very clear. No mistakes. But if got the marks allocated will be better. Thanks alot admin. Waiting for a math solution care i funk it ==

Posted on October 29th, 2010 at 13:37

Paper 1 and Paper 2 worked solutions for Additional Mathematics 4038 have been uploaded on MathsGuidebook.com.

Some one.:No idea, depends on how Cambridge would like to allocate the marks for each question. However, feel free to discuss how you think the mark scheme is 🙂Dot., agkp123, dreamers, Sian:Yes, what an ambiguous question, depending on the way you define odd numbers, n may be negative for all you know!TMZ, Stella:Yes, both t + 3 and -3 – t should be accepted by Cambridge. I decided to write the modulus sign, just to make the difference always positive.qwerty:If I am not wrong, we are asked to leave it in terms of prime factors. Anyone care to clarify?Candy:Please right-click the file and download it, this should solve the problem!Posted on October 29th, 2010 at 17:01

How much to score an A1 for Emath O level ?

Posted on October 29th, 2010 at 19:21

@Pedatorization around 90% above.

Posted on October 29th, 2010 at 20:30

I think 90 percent too high

Posted on October 29th, 2010 at 21:10

@Kent Nai, if you want to flame, go ahead.

Posted on October 29th, 2010 at 23:24

90% too high somewhere around 85%… A maths i guess 80%??

Posted on October 30th, 2010 at 00:14

91-100 is A1

75-90 is A2

65-75 is B3

Posted on October 30th, 2010 at 00:26

depends.. if the paper is easy them maybe the % of getting a1 might be higher i think..

Posted on October 30th, 2010 at 01:09

I agree with TMZ. but i am afraid this year might bring up the curve as there are many people out there scoring full marks..

Posted on October 30th, 2010 at 12:04

Emaths usually at 85% while Amaths usually 83%. but this year the curve will be super high. It is unlikely that Emaths will go above 90% though.

qwerty: the question ask for the prime factor form

Posted on October 30th, 2010 at 22:29

usually A1 is top 25% of the cohort.. so to get a confirm A1.. try scoring around 90% or above

Posted on November 1st, 2010 at 20:13

I feel that the E math is easy this year, but i heard there’s moderation, so A1 is tough to get? OMG that’s depressing! O.o

Posted on November 1st, 2010 at 22:11

Yup! most likely will moderate to 90%, give or take a few marks..

Posted on November 2nd, 2010 at 22:27

This year’s paper might be easy but last year’s paper was easier. And remember there are other schools out there that might not be as good (Not naming to prevent getting flame). If A1 mark is too high, those schools will suffer like crazyyyyyyyy.