Posted in H2 Math Answers

Suggested Answers to 2015 A Level H2 Math 9740 PAPER 1

 

1. System of linear equations / Graphing techniques

(i)  a = -3.953 ,  b = -5.187 ,  c = 7.303

(ii)  x = -0.589

(iii)  y = 5.19x + 7.3

 

2. Graphing techniques / Inequalities

i)

q2

(ii) -1.73 < x < 0.414  or  x > 1.73

 

3. Integration

(i) When n→∞ , sum of area of rectangles ≈ area of function

(ii) 3/4

 

4. Application of differentiation

Maximum area = (1/32) d²

 

5. Graphing techniques / Transformation

(i) Translation of +3 units parallel to the x-axis,

Scaling by scale factor of 1/4 parallel to the y-axis

ii)

iii)

 

 

6. Maclaurin’s series / Binomial expansion

(i) 2x – 2x² + (8x³/3)

(ii) -(104/27)

 

7. Vectors

(i) OC = (3/5)a

OD = (5/11)b

(ii) line BC : r = (3/5)λa + (1 – λ)b

line  AD : r = (1 – μ)+ (5/11)μb

(iii) AE : ED = 11:9

 

8. AP/GP

(i) T = { T∈R : 59 ≤ T ≤ 77 }

(ii) t = { t∈R : 63.8 ≤ t ≤ 74.5 }

9. Complex numbers

a) w = a ± (a/√3)i

b)(i) z = 2e^(-π/10) , 2e^(3π/10) , 2e^(-π/2) , 2e^(7π/10) , 2e^(-9π/10)

(ii) 4 sin ( π/5)

10. Application of integration

i) A1/A2 = (2-√2)/(√2 -1)

= √2

iii) Volume = (π³/16√2) + (π²/2√2) – √2 π

11. Application of differentiation and integration

i) dy/dx = (-3sin³Θ + 6sinΘ cos²Θ)/(3sin²Θ cosΘ)

= 2 cot Θ – tan Θ (shown)

ii) ( (2√2)/(3√3) , ( 2 /√3 ) ) maximum point

iii) Area ≈ 0.884

iv) a = (3√2)/(2)

 

A-LEVEL H2 MATH JUNE HOLIDAYS INTENSIVE REVISION

A-LEVEL H2 PHYSICS JUNE HOLIDAYS INTENSIVE REVISION

 

JUNIOR COLLEGE / A-LEVEL TUITION:

 

gp              math jc

physics jc               chem jc

poa                mob

f math                econs

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TUITION FEES

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By EX-MOE TEACHERS & EXPERIENCED TUTORS

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

CALL 65694897 OR SMS 98530744 OR 97860411.

Posted in H2 Chemistry

Our J2 H2 CHEM tuition will start on Sat 16 Jan 3.30 pm

JC2 H2 Chemistry:      Saturday | 3.30 pm – 5.15 pm | Code: J2C1

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The Tutor:

Mr Lee J.X.:   A First Class Honours B.Sc. graduate (majoring in Chemistry) from the National University of Singapore and a straight-A alumnus of Hwa Chong Institution, Mr Lee is a youthful and dynamic tutor with a pleasant personality, who has been coaching students in Advanced and O-Level Chemistry for more than 6 years. A Teaching Award recipient, Mr Lee also holds a Master of Research degree (distinction) from the Imperial College London.

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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, SMS <STUDENT NAME>, <CODE> TO 98530744.

For enquiries, kindly call 65694897 or sms to 9853 0744.

Posted in Administrative, General Paper, JC Economics, JC History, JC Math (H2/H1), JC Physics, Junior College

Our JC & Secondary Headstart Programmes 2015-2016

Dear Parents / Students, the following lists our headstart programmes for S1-J2 levels.

P6 going to S1:
——————–
Our weekly Sec 1 Arithmetic & Algebra workshop will begin on Fri 6 Nov 2015.

S2 / S3 / S4 ( in 2016):
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Our English, Math, Physics, Chemistry & Science HEADSTART classes will begin in the FIRST week of November.

S4 going to JC1:
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Our BRIDGING & HEADSTART classes for General Paper, Economics, Math, Physics & Chemistry will begin from 15 Nov 2015 onwards.

JC2 (in 2016):
—————-
Our HEADSTART classes for General Paper, Economics, Management of Business, Math, Physics & Chemistry will begin from 15 Nov 2015 onwards

jc secondary page 1

jc secondary page 2

 

 

Posted in H2 Chemistry

J1 H2 CHEMISTRY Tuition To Start on Sat 21 Mar

JC1 H2 Chemistry:      Saturday | 3.30 pm – 5.15 pm | Code: J1C1 

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The Tutor:

Mr Lee J.X.:   A First Class Honours B.Sc. graduate (majoring in Chemistry) from the National University of Singapore and a straight-A alumnus of Hwa Chong Institution, Mr Lee is a youthful and dynamic tutor with a pleasant personality, who has been coaching students in Advanced and O-Level Chemistry for more than 6 years. A Teaching Award recipient, Mr Lee also holds a Master of Research degree (distinction) from the Imperial College London.

—————————————————————————————————————————

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, SMS <STUDENT NAME>, <CODE> TO 97860411.

For enquiries, kindly call or sms to 9786 0411.

Posted in A-Level

RETAKING A-LEVELS

If you are retaking your A-levels, you will probably need academic support. We can assist you in two ways:

(1) If you still remember your A-level concepts quite well and you need help in answering questions and solving problems, you may join our regular weekly tuition classes. You can view these classes by clicking on any in the list below:

A-LEVEL | JC | MATH TUITION

A-LEVEL | JC | GENERAL PAPER TUITION

A-LEVEL | JC | ECONOMICS TUITION

A-LEVEL | JC | PHYSICS TUITION

A-LEVEL | JC | CHEMISTRY TUITION

(2) If instead you need to learn your A-Level stuff all over again, you may join our A-Level Exam Prep programme:

THE SINGAPORE LEARNER ACADEMY

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

JC2 H2 Chemistry Tuition Scheme of Work 2015

EVERY SUNDAY 11.30 AM – 1.15 PM

11/1 – Organic Chemistry: Introductory Topics + Alkanes

18/1 – Alkenes + Arenes

25/1 – Halogen Derivatives

1/2 – Hydroxy Compounds

8/2 – Carbonyl Compounds

15/2 – Carboxylic Acids and Derivatives

1/3 – Nitrogen Compounds

8/3 – Equilibria

15/3 – Revision for Common Test 1 – Energetics

22/3 – Revision for Common Test 1 – Reaction Kinetics

29/3 – Group II

5/4 – Group VII

12/4 – An Introduction to the Chemistry of Transition Elements

19/4 – Revision for Common Test 2 – Atoms, Molecules and Stoichiometry

26/4 – Revision for Common Test 2 – Atomic Structure + Chemical Bonding

3/5 – Revision for Common Test 2 – The Gas State + The Periodic Table: Chemical Periodicity

10/5 – Revision for Common Test 2 – Electrochemistry

17/5 – Revision for Common Test 2 – Organic Chemistry

24/5 –  Revision for Common Test 2 – Organic Chemistry

31/5 –  Revision for Common Test 2 – Organic Chemistry

7/6 – Singapore Learner H2 Chemistry Mock Exam I (Paper 1) + Discussion on Singapore Learner Chemistry Mock Exam I (Paper 1)

14/6 – Singapore Learner H2 Chemistry Mock Exam I (Paper 2)

21/6 – Singapore Learner H2 Chemistry Mock Exam I (Paper 3)

28/6 – Discussion on Singapore Learner H2 Chemistry Mock Exam I (Paper 2 and Paper 3)

5/7 – Revision for Prelim – Atoms, Molecules and Stoichiometry + Atomic Structure + Chemical Bonding

12/7 – Revision for Prelim – Energetics and Reaction Kinetics

19/7 – Revision for Prelim – The Gas State + The Periodic Table: Chemical Periodicity

26/7 – Revision for Prelim – Electrochemistry + Equilibria

2/8 – Revision for Prelim – Group II + Group VII + An Introduction to the Chemistry of Transition Elements

16/8 – Revision for Prelim – Organic Chemistry

23/8 – Singapore Learner H2 Chemistry Mock Exam II (Paper 1) + Discussion on Singapore Learner H2 Chemistry Mock Exam II (Paper 1)

30/8 – Singapore Learner H2 Chemistry Mock Exam II (Paper 2)

6/9 – Singapore Learner H2 Chemistry Mock Exam II (Paper 3)

13/9 – Discussion on Singapore Learner H2 Chemistry Mock Exam II (Paper 2 and Paper 3)

20/9 – Singapore Learner H2 Chemistry Mock Exam III (Paper 1) + Discussion on Singapore Learner H2 Chemistry Mock Exam II (Paper 1)

27/9 – Singapore Learner H2 Chemistry Mock Exam III (Paper 2)

4/10 – Singapore Learner H2 Chemistry Mock Exam III (Paper 3)

11/10 – Discussion on Singapore Learner H2 Chemistry Mock Exam II (Paper 2 and Paper 3)

18/10 – Final Consultation on H2 Chemistry

25/10 – Final Consultation on H2 Chemistry

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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, SMS <STUDENT NAME>, <J2C1> TO 97860411.

For enquiries, kindly call 65694897 or sms to 9786 0411.

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

Free Talk on JC SUBJECT COMBINATIONS Sat 31 Jan 6pm

Dear Post-O-Level Students.

If you currently have the following Questions:

(1) Which subject combination to take in JC?

(2) What is H2 or H1? Take 4 H2s or 3 H2s? What is H3?

(3) What is Indicative Grade Profile?

(4) How do the local universities compute your A-Level Score?

(5) How to excel in H2 Math, Physics, Chemistry, Economics or General Paper?

then you are highly encouraged to attend our specially prepared TALK on JC Subject Combinations on Sat 31 Jan at 6 pm. ADMISSION IS FREE.

Details as follows.

Date: SAT, 31 JAN 2015

Time:  6.00 pm – 7.30 pm

Venue:  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)

Our experienced JC Tutors as well as two current JC lecturers will be there to answer your queries.

You can REGISTER for the talk by sending your <NAME><”TALK31JAN”><No. of people coming> via SMS to 97860411.

For any queries, don’t hesitate to call 65694897 or 97860411. THANK YOU!

Related link: Our JC1 GP, MATH, PHYSICS & CHEMISTRY Classes will start in first week of FEB