Thoughts on the H2 Mathematics (9758) Papers 2017

Thoughts on the H2 Mathematics (9758) Papers 2017

JC Mathematics, Mathematics

Solutions can be found here.

Personal Thoughts: The paper isn’t tedious. Students can do them so long as they know their stuffs. There are several generalising of questions, like question 6 of paper 1. We also saw how conditional probability was actually tested subtly, this tests students’ abilities to reason with guidance (not sure if after this first trial year, will they still guide the students.) Application questions were not tough and well guided. Students can solve it easily if they read it well. Statistics was well crafted and neat.

To be blunt, I’ll give credit to the 9740 H2 Mathematics paper that run concurrently, since it is too tough to set two sets of papers. Its easy to acknowledge that the 9740 (2016) paper was way harder than 9740 (2017). Next year won’t be the same.

Advice: Students should be careful when you revise, make sure you learn, and not do. Understand what you’re doing. The 2017 paper was an inquisitive paper, examiners were watching closely if you pay attention to details, and know your definitions well.

I’ll do an analysis for the paper, you can click on the individual question and read. For students that took the paper, I hope it doesn’t demoralise you.

Paper 1

Paper 2

 

 

2017 A-level H1 General Paper (8807) Paper 1

2017 A-level H1 General Paper (8807) Paper 1

JC Mathematics

Sharing the A-level H1 General Paper (8807) Paper 1…

 

  1. ‘The past is not dead; it is not even past.’ Discuss.
  2. Can the use of animals for scientific research ever be justified?
  3. In your society, to what extent is it acceptable for public money to be used for the acquisition of works of art?
  4. ‘Rehabilitation, not punishment, should be the purpose of the justice system.’ Discuss.
  5. Is regulation of the press desirable?
  6. Do events, rather than politicians, shape the future?
  7. How far is science fiction becoming fact?
  8. Examine the role of music in establishing a national identity in your society.
  9. To what extent are people judged more by their physical appearance than by their abilities?
  10. ‘Practical ability is just as important as intellectual skills.’ How far is this true in your society?
  11. Assess the view that attempts to control climate change can never be truly effective.
  12. The quality of written language is being destroyed by social media.’ What is your view?
  13.  

Some TYS Questions worth looking at

Some TYS Questions worth looking at

JC Mathematics

Prelims Exams was scary. H2 Mathematics isn’t that easy.

Students that had difficulties finishing their prelims exams, should consider working on their time management. The best way to do it, practice 3 hour paper… in a single sitting. And students should note to modify their TYS slightly as several questions in each paper are out of syllabus. In general, we give ourselves 1.5min for every 1 mark.

So here, I’ll share a list of questions that Mr. Wee has compiled. Mr. Wee also wrote e-books recently on solving non-routine problems. They are very interesting and provides the learners a new perspective to solving problems.

Non-routine Problems (Click to link to the solutions)
N2016/P1/Q3
N2016/P1/Q8
N2016/P1/Q10(a)
N2015/P1/Q3
N2015/P1/Q11

Application Questions
N2016/P1/Q9
N2015/P1/Q8
N2014/P1/Q11
Specimen P1/Q9
Specimen P1/Q11
Specimen P2/Q9
Specimen P2/Q10

All the best for your revision!

RVHS GP Prelims paper 1 2017

RVHS GP Prelims paper 1 2017

JC General Paper
  1. Is being innovative more desirable than keeping the status quo?
  2. ‘The promise of science and technology cannot be realised without the humanities.’ Do you agree?
  3. Is politics today nothing but a series of empty promises?
  4. ‘Education perpetuates rather than fights inequality.’ Comment.
  5. ‘Men only need to be good, but women have to be exceptional.’ To what extent is this true in the workplace today?
  6. Is increased military spending justifiable when countries are not at war?
  7. Should we always be compassionate?
  8. To what extent is renewable energy the solution for the world’s increasing need for energy?
  9. Consider the relevance of patriotism in your society today.
  10. Given that the global population is growing rapidly, should people be having more children?
  11. To what extent are the needs of the marginalised met in your society?
  12. ‘There is no such thing as bad art.’ Discuss
HCI GP Prelims paper 1 2017

HCI GP Prelims paper 1 2017

JC General Paper
  1. ‘Nothing but provocation and self-centredness.’ Is this a fair description of the state of affairs in today’s world?
  2. ‘My life, my choice.’ How far can people expect to live life this way?
  3. Should historical monuments and objects be preserved when such an undertaking is very expensive or even a source of unhappiness?
  4. ‘Many receive an education, but few are educated.’ Discuss with reference to situations in your society today.
  5. ‘Tourism brings less developed countries more harm than good.’ Comment.
  6. How worried should we be that recent advances in science and technology are creating new challenges and worsening old problems?
  7. ‘Looks matter, and much more than substance too.’ Would you agree with this claim?
  8. ‘The hallmark of a great country is not how prosperous it is, but how inclusive its people can be.’ Should your country work towards this ideal?
  9. ‘We must surrender our human rights to win the battle against terrorism.’ Do you agree?
  10. ‘Smart cities: innovative, but not necessarily better.’ What do you think?
  11. ‘Corporate social responsibility is bad for business and companies should not be expected to take it up. To what extent would you agree?
  12. ‘Let us read and let us sin, for what harm can these amusements bring?’ Comment.
RI JC GP Prelims paper 1 2017

RI JC GP Prelims paper 1 2017

JC General Paper
  1. ‘The protection of animals is an indulgence.’ Do you agree?
  2. ‘In an increasingly uncertain world, there is little point in predicting the future.’ Discuss
  3. Would the world be a better place without religion?
  4. ‘We should abolish state funding for the Arts.’ How far do you agree that this should be the case for your society?
  5. ‘Business should have no place in politics.’ Do you agree?
  6. ‘Scientific knowledge cannot be trusted because it is unreliable.’ Is this a fair statement?
  7. ‘Celebrities today do little that is worth of celebration.’ Discuss.
  8. Are machines making humans obsolete?
  9. Consider the importance of non-conformity in your society.
  10. ‘Achieving greater income equality for all is a desirable but unrealistic goal.’ Do you agree?
  11. How effective is technology in making us healthier?
  12. ‘History is just set of lies.’ Discuss.
Making Use of this September Holidays

Making Use of this September Holidays

JC Mathematics, Mathematics

This is a little reminder and advice to students that are cheong-ing for their Prelims or A’levels…

For students who have not taken any H2 Math Paper 1 or 2, I strongly advise you start waking at up 730am and try some papers at 8am. I gave my own students similar advices and even hand them 4 sets of 3 hours practice papers. Students need to grind themselves to be able to handle the paper at 8am. It is really different. Not to mention, this September Holidays is probably your last chance to be able to give yourself timed practices.

For students who took H2 Math Paper 1, you might be stunned with the application questions that came out. For NJC, its Economics. For YJC, its LASER. For CJC, a wild dolphin appeared. And more. These application questions are possible, due to the inclusion of the problems in real world context in your syllabus. You can see the syllabus for yourself. I’ve attached the picture below. So for Paper 2, expect these application questions to be from statistics mainly, as suggested in your scheme of work below.

Scheme of Examination Source: SEAB

For students that have took H2 Math paper 1 & 2, and this is probably ACJC. The paper was slightly stressful, given the mark distributions, but most of the things tested are still technically “within syllabus”. For one, the directional cosine question, is a good reminder to students that they should not leave any pages un-highlighted. AC students should be able to properly identify their weaknesses and strengths this time round. If its time management, then start honing that skill this holidays – by having timed practice. A quick reminder that the TYS papers are not 3 hours, since some of the questions are out of H2 Mathematics 9758 syllabus. Students can consider the ratio of 1 mark to 1.5 min to gauge how much time they have for each paper.

R-Formulae seems to be popular about the prelims exams this time round, making waves in various schools. Perhaps it was because it appeared in the specimen paper, and if you’re keen on how it can be integrated or need a refresher. I did it recently here.

Lastly, for the students that are very concerned on application questions. Check the picture below. It contains some examples that SEAB has given. Students should also be clear about the difference between a contextual question and an application question.

Integration & Applications Source: SEAB

With that, all the best to your revision! 🙂

Anderson JC GP Prelims paper 1 2017

JC General Paper
  1. Should small countries be allowed to take the lead in global affairs?
  2. To what extent can the Arts effect positive social change today?
  3. ‘Experiences are more valuable than material possessions.’ Do you agree?
  4. ‘People in the workplace should embrace, rather than fear, technological advancements.’ Discuss.
  5. ‘The news today deals with what is popular, rather than what is important.’ How far do you agree with this statement?
  6. Evaluate the claim that a more connected world has resulted in greater divisions.
  7. ‘Public figures today are overly concerned about what people think of them.’ What is your view?
  8. Consider the view that there is no value in slowing down in today’s competitive world.
  9. Discuss the appeal and value of creativity in your society.
  10. Considering the increasing threat of terrorism, are governments justified in limiting people’s rights?
  11. To what extent is animal testing acceptable in scientific research?
  12. ‘Economic development is favoured at the expense of the welfare of people.’ How true is this of your society?
Trigonometry Formulae & Applications (Part 2)

Trigonometry Formulae & Applications (Part 2)

JC Mathematics, Secondary Math

I meant to share more on factor Formulae today. However, a few students are not so sure how to get the R-formulae correctly during their preliminary exams recently. So I thought that I’ll share how they can derive the R-Formulae from the MF26.

The following is the R-Formulae which students should have memorised. It is under assumed knowledge, just saying…

a \text{cos} \theta \pm b \text{sin} \theta = R \text{cos} (\theta \mp \alpha)

a \text{sin} \theta \pm b \text{cos} \theta = R \text{sin} (\theta \pm \alpha)

where R = \sqrt{a^2 + b^2} and \text{tan} \alpha = \frac{b}{a} for a > 0, b > 0 and \alpha is acute.

So here, I’ll write the addition formulae that’s found in MF26.

\text{sin}(A \pm B) \equiv \text{sin}A \text{cos} B \pm \text{cos} A \text{sin} B

\text{cos}(A \pm B) \equiv \text{cos}A \text{cos} B \mp \text{sin} A \text{sin} B

I’ll use an example I discussed previously.

f(x) = 3 \text{cos}t - 2 \text{sin}t

Write f(x) as a single trigonometric function exactly.

Lets consider the formulae from MF26.

\text{cos}(A \pm B) \equiv \text{cos}A \text{cos} B \mp \text{sin} A \text{sin} B

R\text{cos}(A \pm B) \equiv R \text{cos}A \text{cos} B \mp R \text{sin} A \text{sin} B

We can let

3 = R \text{cos} B ---(1)

2 = R \text{sin} B ---(2)

\Rightarrow \sqrt{ 3^2 + 2^2 } = \sqrt{ R^2 \text{cos}^2 B + R^2 \text{sin}^2 B}

\Rightarrow \sqrt{13} = R

\Rightarrow \frac{R \text{sin} B}{R \text{cos} B} = \frac{2}{3}

\Rightarrow \text{tan} B = \frac{2}{3}

Putting things together, we have that

 f(x) = \sqrt{13} \text{cos} ( t + \text{tan}^{\text{-1}} (\frac{2}{3}))