Posted in A-Level, H2 Math, H2 Math Answers

Suggested Answers to 2014 A Level H2 Math 9740 PAPER 2

NEW!

H2 PHYSICS PRACTICAL

 

H2 CHEMISTRY PRACTICAL

 

H2 BIOLOGY PRACTICAL

 


The following is a suggested solution by our H2 and H1 Math Tutor, Mr. Teng. Please note that it is a suggested solutions and was rushed out. Mr. Teng omitted several presentation steps out of convenience. There might be alternative solutions at times too. Feel free to comment and discuss. Please let us know if there are mistakes too. Thanks in advance.

PLEASE NOTE THAT STUDENTS ARE EXPECTED TO WRITE STATE YOUR DISTRIBUTIONS CLEARLY. We omitted for convenience.

Disclaimer: This suggested solutions is provided free by Mr. Teng & Singapore Learner. Both parties do not profit from this. We simply believe that this will help current students and future students to learn from the mistakes of others. Thanks.

ERRATA & Remarks:

6(ii) I miscounted and was careless.

Case 1: A plays midfield, B sits out of attacker =>3c1 x 8c4 x 4c1 x 5c4

Case 2: A sits out midfield, B plays attacker => 3c1 x 8c4 x 4c2 x 5c3

Case 1 + Case 2 =1 6800

(iii) I doubled counted indeed. Thanks for pointing out. Should be

Case 1: Midfielder A plays midfield => 8c4 x 3c1

Case 2: Midfielder A plays defender => 8c3 x 3c2

Case 3: Midfielder A sits out => 8c4 x 3c2

3c1 x 5c4 x (8c4 x 3c1 + 8c3 x 3c2 + 8c4 x 3c2) = 8820

8ai. I drew the left side of the quadratic. It should be the right side. my bad.

9. I initially used Z-Test for this question. But T-test is definitely more appropriate as we are given as unknown population variance. I changed it to T-test in the following solutions, but understand that some teachers consider Z-Test to be acceptable too. I should highlight that nobody has access to the actual answer scheme; we only see the marker’s report.

(ii), (iii) Set notations should be used. {t>3.48} and {0<k^2<0.423}

11. Please take note that I used CLT here, so cc is not required.

– I understand some students misunderstand that CLT is used to find the mean of any distribution. This is a terrible misconception. CLT is a limiting theorem, and we apply it to approximate a non-normal distribution to a normal distribution, given n is sufficient. And they can be sum of independent random variables, sample sum, or sample mean. You can read more from the link below.

Click to access 408clt.pdf

– Why I used CLT approximation instead of poisson approximation (Poisson approximation is not incorrect either): I used continuity correction in qn 7 alr, so given examiner psychology, I would think they want to be impressed with something different. That’s why I picked CLT approximation. Do note that this does not mean that doing poisson approximation is wrong; so long as you perform cc precisely.

I do hope this clarifies, and I’m sorry it came late as I was ill and had jc1 classes yesterday too.

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Posted in A-Level, JC Math (H2/H1)

Suggested Answers to 2014 A Level H2 Math 9740 Paper 1

MOCK EXAMS FOR SCIENCE PRACTICAL


The following is a suggested solution by our H2 and H1 Math Tutor, Mr. Teng. Please note that it is a suggested solutions and was rushed out. Mr. Teng omitted several presentation steps out of convenience. There might be alternative solutions at times too. Feel free to comment and discuss. We will try our best to answer.

Errata:

Qn3 I misread it. Answer should be 2/3 and need not be evaluated.

Qn5i I copied wrongly off GC. answer should -3+4i.  It shouldn’t affect the back parts.

Qn7 I copied wrongly off GC. So rounding off, the answers should α=1.885(3dp)

 

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Advice and tips from Mr Teng for H2 Math exam 2014 paper 2

Please focus on tomorrow’s paper 2 and not let paper 1 affect you too much.

Errata:

Qn3 I misread it. Answer should be 2/3 and need not be evaluated.

Qn5i I copied wrongly off GC. answer should -3+4i.  It shouldn’t affect the back parts.

Qn7 I copied wrongly off GC. So rounding off, the answers should α=1.885(3dp)

Much thanks for those that point it out.

 

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Posted in A-Level, General Paper

Our General Paper Advisor’s comments on the 2014 GP Paper

From Mdm Lyn:

Those who thought new media and social media concerns make a ‘hot’ topic, got our way – sort of. It turned out to be the topic of the passage in Paper 2.

The inequality question emerged yet again – this time with a narrower focus on workers’ rights.

The current affairs question helped those who heeded the reminder to, well, BE CURRENT.

The other reminder was THINK BIGGER / DEEPER. Those who chose the broad question about always getting what we want may have included :

– self-actualisation and other innate desires
– the need to consider the impact on our values & our treatment of others (e.g. Are their rights sacrificed ? Do our relationships suffer ? What or How much are we prepared to lose ?)
– the struggle to balance aspiration and other conflicting responsibilities
– the consideration of whether what we want is really good for us, or just a perception
– the good and bad of material pursuits

(All points have been rehearsed when we covered this : http://prezi.com/7kefucggtfhq/inside-insights-brainstorming-toolkit/ )

The marriage question rehearsed a very very familiar skill : what has changed over time

Marriage is a little tied to gender… And didn’t we talk about gender ?

———————————————————————————————————–

To read the rest of her comments and discussion with students, please visit her webpage:

http://h1generalpaper.wordpress.com/2014/11/03/gp-down-the-rest-to-go-and-guess-what-id-like-to-say/

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Posted in Pure Chemistry

O-LEVEL | SEC | CHEMISTRY TUITION

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Under this scheme, students do not need to register with our centre. If a student needs clarification on a particular topic in E.Math, A.Math, Physics or Chemistry, or needs help solving some questions in these subjects, he can just message the tutor (hp: 97860411, NUS grad, NIE-trained, Ex-RI) to book a 1-hr slot. Fee is $90 per hour and must be paid in advance to confirm the slot (no refund for a no-show whatever the reason). Lessons can be physical in-centre or online via zoom. Fee for home tuition (west area) is $180 per hour.


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TUE (5-6.30PM):    PHYSICS | CHEMISTRY

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Please Note: Our Science lessons include Practical Training as well.

O-LEVEL CHEMISTRY PRACTICAL


The Tutor for our Chemistry program is a former MOE school teacher (ex-Rafflesian) who has been coaching students in Chemistry, Physics and Mathematics for more than 10 years. An alumnus of RI and RJC, he also holds both a Master of Education degree and a Postgraduate Diploma in Education with Credit from the National Institute of Education (NIE), as well as a Bachelor of Science degree from the National University of Singapore (NUS).

For enquiries, you may msg the Tutor directly at 97860411.

If you need private 1-1 HEAD START, REVISION or RELEARNING of Math, Physics or Chemistry topics, kindly message our tutor directly at 97860411.


TO REGISTER, SMS <STUDENT NAME>, <SUBJECT, DAY> TO 88765498


 


Administrative Matters:

Location:   Blk 644, Bukit Batok Central, #01-68. S(650644).

Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947.

 

 


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Posted in Headstart Classes

Our HEADSTART programmes starting in NOVEMBER – REGISTER NOW!

 

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Posted in A. Math

Suggested answers to GCE O Level 2014 A. Math (4047) Paper 2

1(i)  When t = 0, 20 + A = 80, so A must be equal to 60.

1(ii)  k = 0.288 (to 3 SF)

1(iii) Since t > 3.82, it is safe to give the food 4 min after removal from the microwave.

———————————————————————————————————–

2(i) Remainder = – 12

2 (ii)  f(-2) = 0, so (x+2) is a factor of f(x).  Solving f(x) = 0, x = -2, 1/2 or 3.

———————————————————————————————————-

3(i)  Length of rectangle = 9/2 + Sqrt(3)/6

3(ii) c = -1

———————————————————————————————————–

4(I) 2.25 4

(ii) 8x^2 + 5x + 64 = 0

———————————————————————————————————–

5(a) x^2 – 8x + 32 = 0. No real solution because discriminant is less than 0.

5(b) y = 1/x^2

———————————————————————————————————–

6(I) Use the fact that triangle ACE is isosceles and the alternate-segment theorem to state that angle ACE = angle ABC. Angle DEF = angle ECA + angle EAC.

6(ii) angle DFE = 2 x angle ACB.

6(iii) Use the fact that angle BAC = 180 deg – (angle BAF + angle CAE).

So 2 x (angle BAC) = 360 deg – 2(angle BAF + angle CAE).

———————————————————————————————————-

7(I)  p = 3 and q = 2

7(ii) (a) increasing

7(ii) (b) decreasing

7(iii) It is a maximum point

7(iv) 0

———————————————————————————————————-

To be continued

Posted in A. Math

Suggested answers to GCE O Level 2014 A. Math (4047) Paper 1

1.  k = -2

2.  sqrt(26)/26

3.  1.75

4.  -3/x   –  2/x^2  +  4/(x-2)

5(i) v = 0.263

5(ii) around v = 0.231

5(iii) around f = 0.120

6. (i) Remember that when there is a mixture of trigo functions which cannot fit into a single trigo identity, convert all the given trigo functions into sine and cosine. Start with the LHS, the more complicated expression.  You will reach the key stage where

LHS = 1 / [(1 – sin^2@)/(sin@cos@)] = 1/ (cos^2@/sin@cos@) = 1/(cos@/sin@) = tan@

6(ii) acute angle, so @ = 1.05.

7(i) A = (h, 2h);  B = (7h/4, 2h);  C = (h, h/2)

7(ii) Area of trapezium = 21 sqr units.

8. Integrate f'(x) to get f(x) with a +c. Use f(pi/2) = 0 to get c = 1/4. Differentiate f'(x) to get f”(x)= 4cos4x + 2sin2x. Proceed to add f”(x) to 4f(x) to get the RHS.

9(i) Pure inequality question. Solve 2x^2 + 5x – 12 > 0 by sketching a quadratic graph. Ans:  {x :  x < -4  U  x > 3/2}

9(ii) Show that the (b^2 – 4ac) of (4x^2 + 4x + 1 = 0) is zero.

9(iii) a = -1.

 

To be continued ….

Posted in Exam Answers

Suggested answers to GCE O Level 2014 Math (4016) Paper 2

Related links:

———————————————————————————————————–

1(a) x < 1/2

1(b)(i) W = 126

1(b)(ii) u = +- Sqrt(v^2 – 2W/m)

1(c)  2x / (x – 4y)

1(d) x = 7 or -1

———————————————————————————————————–

2(a) 4.12 x 10^10 kWh

2(b) 40.5% (to 3 SF)

2(c) 1439 kWh (to the nearest kWh)

2(d) 26.2% (to 3 SF)

2(e) 5725 GWh (to the nearest GWh)

———————————————————————————————————–

3(a) p = 11.4

3(b) cubic graph

3(c) Near exact answers are x = -1.54, 3.84 or 1.69 (examiners accept answers within a small range)

3(d) Exact answer for the gradient is -5.2 (examiners accept answers within a small range).

3(e) (i) straight line with positive gradient intersects the curve at one point.

3(e)(ii) Near exact answer is (4.24, 0.83) (examiners accept answers within a small range)

———————————————————————————————————–

4(a) 83 deg

4(b) Use AA property

4(c) Triangle EAB

4(d)(I) 5:3

4(d)(ii) 82.62 cm squared

———————————————————————————————————-

5(a)(I) (-6, -7) in vertical form (2×1 matrix)

5(a)(ii) 9.22 units

5(a)(iii) (4, 8.5)

5(b)(I) 4y + 3x = 16

5(b)(ii) (-2, 5.5)

——————————————————————————————————–

To be continued …….

 

Posted in A. Math

O-LEVEL | SEC | A. MATH TUITION

Ad Hoc 1-1 Consultation (for the busiest of students)

Under this scheme, students do not need to register with our centre. If a student needs clarification on a particular topic in E.Math, A.Math, Physics or Chemistry, or needs help solving some questions in these subjects, he can just message the tutor (hp: 97860411, NUS grad, NIE-trained, Ex-RI) to book a 1-hr slot. Fee is $90 per hour and must be paid in advance to confirm the slot (no refund for a no-show whatever the reason). Lessons can be physical in-centre or online via zoom. Fee for home tuition (west area) is $180 per hour.


Weekly Regular Tuition

We have 2 modes of regular weekly tuition for our Math and Science classes (non-IP): Flexible Group Tuition and 1-1 Tuition.

FLEXIBLE HYBRID GROUP TUITION (FHGT) (Proven very effective personalised tuition for the busy student. Try it!)

Features:

  • Very small class size (max 4 students)

  • Flexible schedule that allows for make-up lessons

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  • Students can ask about their own school work

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WEEKLY SCHEDULE

MON (5-6.30PM):   MATH | A.MATH

TUE (5-6.30PM):    PHYSICS | CHEMISTRY

FRI (5-6.30PM):     PHYSICS | CHEMISTRY

SAT (5-6.30PM):    A.MATH | CHEMISTRY

MON (5-6.30PM):  A.MATH | CHEMISTRY


Structure: Once a week, 4 times a month

Registration fee: $30

Monthly fee: $360


1-1 TUITION

Days: To be negotiated and agreed upon

Times: To be negotiated and agreed upon

Registration fee: $30

For further details, click on INDIVIDUAL TUITION.


Note: Our A.Math students also enjoy a 50% discount when they book our science practical sessions (once a month).


Our Tutor is an NIE-trained Ex-MOE Teacher who has been coaching students in A.Math for more than 12 years. An alumnus of Raffles Institution, he holds a a Bachelor of Science degree from the NUS as well as a Master of Education (Curriculum & Teaching) degree from the National Institute of Education.

For enquiries, you may msg the Tutor directly at 97860411.

If you need private 1-1 HEAD START, REVISION or RE-LEARNING of Math, Physics or Chemistry topics, kindly message our tutor directly at 97860411.


TO REGISTER, SMS <STUDENT NAME>, <SUBJECT, DAY> TO 88765498



Administrative Matters:

Location:   Blk 644, Bukit Batok Central, #01-68. S(650644).

Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947.

 


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Posted in A-Level, H1 Economics, H2 Economics, Junior College

JC ECONOMICS TUITION (H1 H2 J1 J2)

JC Economics by an experienced, NIE trained ex-JC Economics tutor, Mr Jimmy Teh.

 

NEW!! SCHEDULE:

J2H2 Economics:     Wednesday | 7.30 pm  – 9.00 pm | Code: J2E1

J2H2 Economics:     Thursday | 7.30 pm  – 9.00 pm | Code: J2E2

J2H2 Economics:     Friday | 7.30 pm  – 9.00 pm | Code: J2E3

J2H2 Economics:     Saturday | 4.30 pm  – 6.00 pm | Code: J2E4 ( 3 slots left)

J2H2 Economics:     Saturday | 6.30 pm  – 8.00 pm | Code: J2E5 ( 3 slots left)


J1H1 Economics:     Thursday | 5.45 pm  – 7.15 pm | Code: J1E1

J1H2 Economics:     Friday | 5.45 pm  – 7.15 pm | Code: J1E2

J1H2 Economics:     Saturday | 4.30 pm  – 6.00 pm | Code: J1E3


We understand that Economics is a challenging subject, and in the current climate, it is no longer sufficient to rely on rote learning, regurgitating of content and memorising model essays/case studies. Questions in school exams and A-level are testing students on their inference and higher order thinking skills.

Common misconceptions or pitfalls:
1. Just memorize and hope for the best by rewriting the notes, without studying smarter

2. Write more, the more the better, without focusing on proper evaluation techniques

3. Study everything instead of focusing on certain key areas

4. Study last minute and think that time is on your side

5. Study the content instead of studying how the question is designed and the hints behind each keyword

Classes are designed to be small (around 5 pax) in order to facilitate discussion and allow the tutor to focus on the strengths and weaknesses of each individual students. If you are having trouble with economics, not satisfied with your grades despite your best efforts, writing a lot but not doing well, or want to secure an A both in School and in the A-level, sign up for class with us today.

FAQ Section from Mr Teh:

Q: Does the tutor have his own notes/tutorial/new and updated case study examples, i.e. when there is a new budget or policy released in Singapore, will he use it as class material?
A: Definitely. We understand that one of the criteria in the evaluation component of Economics paper, requires candidates awareness of real world context. Besides using our own teaching material that builds out students evaluative skills, current events are also discussed regularly in class, before scaffolding these discussions and apply them to meet exam requirements.

Q: How is the structure of the lesson i.e. How much time dedicated to lecture vs class work?

A: About 40percent is allocated for content, whereas the rest are focused on applications. We understand our role, and that we are a complement to school’s programme. Thus, whenever there is a lack of practice in particular area (for example, understanding the question requirements and how to analyse adequately), we focus on these areas to maximise the gains for our students. Thus, every class can be different, as the tutor will adjust accordingly to the issues of each class.

Q: Will there be homework issued like essays and case study questions and will the tutor mark the work?
A: There is homework, but these is also discussed with the students as we understand the rigour they might be facing in schools. Every piece of homework given is marked and reviewed with the student.

 

Q: Will there be time dedicated to class discussion for case studies and essays?
A: Yes. As we focused more on the applications aspect, and we come to understand that this aspect is not regularly practiced in school, we see it as a crucial opportunity for us to practise this skill with our students.

Q: How do you plan to separate the H1/H2 students?
A: yes, they are always separated into different classes, and they should, as their examination and skillsets required are different.

Q: Some schools have different syllabus, e.g. some start on macro in J1 instead of micro(HCI, NYJC, VJC), do you separate classes based on syllabus?

A: They are being taken into consideration when we planned for classes. Thus, we always seek to work with students, and not making things more difficult for them.

Q: Are there online classes and do you have plans to do a pure online class or a hybrid class i.e. some online some physical

A: Most of the students currently prefer to have lessons in person, as there are certain skills that require them to practice on the spot. However, we also have students whom prefer online lessons and we also do make arrangements for that. In fact, hybrid classes were already a regular part of our lessons since Circuit Breaker ended.

Q: We prefer online classes as we live further away, can you walk us through what a typical online class will be like?

A:  A link to the online classroom will be sent to either you or your child’s Whatsapp account a few minutes before the start of the class. Materials used for the class will be sent to you in a PDF or word format by email at least a day before the class itself. Parents are welcome to come down physically and collect printed materials if they wish. Online class has the same class size limit as physical class. Once attendance is taken and the tutor is sure that all students are accounted for, the class begins just like any regular class. Lesson materials are projected onto the screen in the online classroom, and there is a whiteboard function which the tutors will use to write, and presentation function for Power point slides. Classwork is expected to be submitted to the tutor via camscanner in PDF format, and the marked work will be returned to them in PDF format. For students who are more shy in nature, they may choose to private message the tutor to address their concerns during class. The experience will be the same as a physical class but in the comfort of your home.

Q: Before an exam, will the tutor go through all the concepts tested and give a review/prediction
A: Yes definitely. A full review and spotting trends for school papers and A-level is always necessary a few days before the exam.

BACKGROUND OF TUTOR

Mr Jimmy Teh has taught H2 Economics in JC since 2008, before venturing into tuition fully in 2015. He has a Bachelor degree from NUS in Economics, and is NIE trained. As a former teacher who was once in a mainstream school, he is aware of the rigour of JC curriculum and how it is designed to promote critical thinking and produce self-directed learners. His courses are planned with a unique set of notes for easy learning and comes with its own diagnostics to help you to identify the root cause of your issues, be it inadequacies in content, inability to tackle the question fully or always not using the right words for the answers. Work will also be fully assessed, with sufficient rigour and exposure in his programmes.


Administrative Matters:

Location:   Blk 644, Bukit Batok Central, #01-68. S(650644).

Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947.

TUITION FEES

TO REGISTER, Whatsapp <STUDENT NAME>, <CODE> TO 88765498.

For enquiries, kindly call 65694897 or whatsapp to 88765498


TUITION CLASSES:

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By EX-MOE TEACHERS & EXPERIENCED TUTORS

@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).

CALL 65694897 OR Whatsapp 88765498