Ok. Here are some of the answers:
1(a) (3x-4y)(3x+4y)
1b(I) 5y^2/9x (ii) (4x+15)/(x+2)(2x-3)
(c) 5 or -1/2
(d)(I) (x-9/2)^2 – 13/4 (ii) 6.30 , 2.70
to be continued ….
Related links:
O-LEVEL 2015 PHYSICS MCQ INTENSIVE DRILL SESSION (500+ MCQs)
Our JC & Secondary Headstart Programmes 2015-2016 [NOTE: Our JC1 (2016) HEADTSTART & BRIDGING classes for General Paper, Economics, Math, Physics & Chemistry start from 15 Nov 2015 onwards. REGISTER NOW to avoid disappointment]
Suggested answers to GCE O Level 2015 Math (4016) Paper 1 (via crowdanswering)
NEW!
MOCK EXAMS FOR SCIENCE PRACTICAL
O-LEVEL PRACTICAL TRAINING
PRACTICAL CRASH COURSES
Ok. Some people have sent me some answers. Here they are. Good luck.
1. -30
2. $966
3. 4,4,5,10,12
4. 119
5. (61x – 18) / 12
6. (a) {4, 8} (b) shade outside the two ovals
7. (4x-3y)(a-2b)
8.(a) B(2,-2) (b) 6.71 units
9. Mean = 162 g; SD = 5.48 g
10. $32680
11. 45 deg, 27 deg, 108 deg
12 (ai) 1.5 L (ii) 4.5 L (b) 6:15:20
13. 5 hrs 52 min
14. (a) 2 x 3^2 x 5^2 (b) 90, 75
15. (a) 3 < x <= 8.5 (b) 4, 5, 6, 7 , 8
16. 216 deg
17 (a) 28.6 cm (b) 1.37
18. 141.9 deg
19. 716 cm squared
20 (a) (shown) [whatever that means] (b) (16, -5) (c) 160 sqr units
21 (a) q = (A-2(pi)p^2) / (pi)p (b) 3r
22(a) P=(1st row 4 2 3; 2nd row 3 0 4) (b) R = (1st row 15 -0.3; 2nd row 10.1 0.2)
22(c) $0.20 (d) $13.23
23 (a) I don’t have to show you (b) 3(pi)r2
24(a) (10-n)/10 (b) (90-19n+n^2)/90
24(c)(I) show it yourself (ii) 3
Related links:
O-LEVEL 2015 PHYSICS MCQ INTENSIVE DRILL SESSION (500+ MCQs)
Our JC & Secondary Headstart Programmes 2015-2016 [NOTE: Our JC1 (2016) HEADTSTART & BRIDGING classes for General Paper, Economics, Math, Physics & Chemistry start from 15 Nov 2015 onwards. REGISTER NOW to avoid disappointment]
_____________________________________________________
TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897
Heard O-Level (2015) Math paper 1 was “hard” or “unusual”.
A tutee from Crescent Girls’ said it was “harder than in past years”. And already there is someone who found my website today using the search phrase “am i eligible for jc when fail o level maths”.
My daughter said it was “tedious” and had “ugly” numbers. But she admitted it was easier than her prelims. Anyway, please remember that Paper 2 isn’t over yet. Even if you had lost today’s battle, you have not lost the war against Math.
Anyway, all the best to you if you are doing O-levels this year!
Rgds,
Ilyasa
Our JC & Secondary Headstart Programmes 2015-2016
O-LEVEL 2015 PHYSICS MCQ INTENSIVE DRILL SESSION (500+ MCQs)
Date: 4 Nov (Wed)
Time: 9.30 am – 1.30 pm
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
(Our location is just a 3-min walk from either the Bukit Batok MRT station or theBukit 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)
Fee: $120 only.
Tutor: Mr Ilyasa (M.Ed, PGDE, B.Sc. Ex-Subject Head of Physics)
Note: Science (Physics) students may also attend and just do the Science (Physics) topics.
FOR REGISTRATION, SMS <STUDENT NAME> <PHYSICS MCQ> TO 97860411.
IMPORTANT TOPICS FOR O-LEVEL 2015 PHYSICS (5059) PAPER 2
LATEST ANNOUNCEMENT:
-
O-LEVEL E. MATH TOPICAL CRASH COURSE
-
O-LEVEL A. MATH TOPICAL CRASH COURSE
-
O-LEVEL PHYSICS TOPICAL CRASH COURSE
I’ve just finished identifying the Physics concepts that will most likely be tested in Paper 2 this year. It is based on my detailed analysis of the concepts tested in the last five years. Strangely FIVE topics were almost ignored in last year’s paper, so I believe they will be tested heavily in Paper 2 this year.
The 5 topics are:
(1) KINEMATICS
(2) PRESSURE (esp. barometer and manometer)
(3) LIGHT (esp. lenses)
(4) STATIC ELECTRICITY
(5) MAGNETISM
The important sub-topics are listed in the table below in the last column.
If you wish to MASTER the above FIVE IMPORTANT TOPCIS as well as the key sub-topics, please attend my upcoming course: O-LEVEL PURE PHYSICS OCTOBER CRASH COURSE. Click on the link for details. Thank you!
Additional workshop: O-LEVEL 2015 PHYSICS MCQ INTENSIVE DRILL SESSION (500+ MCQs)
Rgds,
Ilyasa
| TOPIC | MAJOR CONCEPTS | IMPORTANT SUBTOPICS FOR 2015 |
| 1. Measurement | (a) Resultant by graphical method(b) ticker tape, vernier,(c) micrometer
(d) pendulum
|
(a), (c), (d) |
| 2. Kinematics | (a) s-t graph(b) v-t graph(c) terminal velocity
(d) horizontal (e) vertical
|
(b), (c), (d), (e) |
| 3. Dynamics | (a) action of 3 forces on static point mass(b) F=ma(c) friction
(d) horizontal (e) vertical
|
(a), (e) |
| 4. Mass, Weight & Density | (a) mass & weight(b) gravitational field & strength(c) density
|
(b) |
| 5. Turning Effect of Forces | (a) POM(b) CG & Stability | (b) |
| 6. Pressure | (a) P=F/A(b) P=hpg(c) Hydraulic press
(d) barometer (e) manometer
|
(a), (d), (e) |
| 7. Energy, Work & Power | (a) POTCOE, KE, GPE(b) Work done & Power(c) horizontal
(d) vertical (e) slope
|
(b), (c), (e) |
| 8. Kinetic Model of Matter | (a) Brownian motion experiment(b) pressure of a gas, trapped air(c) P=kT, V=kT, PV=k, explanation using kinetic model
|
(c) |
| 9. Transfer of Heat | (a) conduction(b) convection(c) radiation
|
(a), (c) |
| 10. Temperature | (a) scales & fixed points(b) thermocouple | (a), (b) |
| 11. Thermal Properties of Matter | (a) SHC(b) latent heat(c) cooling curve
|
(b), (c) |
| 12. General Wave Properties | (a) Transverse(b) Longitudinal(c) Ripple Tank | (a), (c) |
| 13. Light | (a) Reflection(b) Refraction(c) Optical fibre
(d) Converging lens (real image) (e) Converging (magnifying glass) (f) Diverging lens
|
(a), (c), (d), (e), (f) |
| 14. EM Spectrum | (a) 7 components and uses(b) effects of absorption (eg. ionisation) | (b) |
| 15. Sound | (a) wave properties(b) direct method to determine speed of sound in air(c) loudness & pitch
(d) echo problems (g) ultrasound
|
(b), (d), (g) |
| 16. Static Electricity | (a) charging by rubbing, contact(b) electric fields(c) charging by induction
(d) potential hazards (e) application
|
(a), (b), (c),(d), (e) |
| 17. Current of Electricity | (a) Q=It, R=V/I, e.m.f, W=QV(b) experiment to determine R(c) R=pL/A
(d) Ohm’s Law & I/V graphs (e) diode as a rectifier
|
(d), (e) |
| 18. DC circuits | (a) series(b) parallel circuits(c) potential divider, potentiometer
(d) thermistor, LDR (e) c.r.o & waveforms
|
(a), (e) |
| 19. Practical Electricity | (a) P=IV & E=IVt(b) kWh(c) hazards
(d) fuse, circuit breaker, switch, earthing, L,N,E (e) wiring in a mains plug
|
(a), (c), (d) |
| 20. Magnetism | (a) magnetisation(b) demagnetisation(c) magnetic fields
(d) temporary & permanent magnets
|
(a), (b), (c), (d) |
| 21. Electromagnetism | (a) magnetic field patterns(b) circuit breaker(c) FLHR
(d) DC motor
|
(a), (d) |
| 22. Electromagnetic Induction | (a) Faraday’s and Lenz’s Laws(b) AC generator(c) Transformer
(d) Power loss |
(d) |
Note:
The above is based on my analysis of the Physics Paper 2 from 2008 to 2014. In general, Paper 2 topics of the previous year is not repeated in the following year (except 2013-2014), and topics that have not been tested for several years are more likely to be tested this time round.
Please not that the above are just guidelines and not 100% accurate. The topics that I have de-emphasized for Paper 2 can still be tested in Paper 1.
Rgds,
Ilyasa
A-LEVEL H2 MATHS INTENSIVE REVISION
1st SESSION
Date: Thursday 10th Sep 2015
Time : 9.00 am 11.00 am
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $120
Topics: Distributions (Discrete & Continuous R.V.s, Approximations)
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
——————————————————————————————
2nd SESSION
Date: Thursday 10th Sep 2015
Time : 11.00 am – 1.00 pm
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $120
Topics: Sampling (Central Limit Theorem, Sampling Theory, Hypothesis Testing)
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
——————————————————————————————
Post Prelim/ Pre A-levels
SESSION 3
Date: Thursday 22th Oct 2015
Time : 9.00 am – 4.00 pm (1-hour lunch break at 12pm)
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $400
Topics: Statistics
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
——————————————————————————————
SESSION 4
Date: Thursday 22th Oct 2015
Time : 4.30 pm 6.30 pm
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $120
Topics: Trigonometry
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
——————————————————————————————
SESSION 5
Date: Thursday 29th Oct 2015
Time : 9.00 am – 4.00 pm (1-hour lunch break at 12pm)
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $400
Topics: Pure Mathematics
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
——————————————————————————————
What to bring: Graphing Calculator and writing materials.
The third session (session 5) of the course focuses on strengthening students with their trigonometry abilities to tackle questions in MI, Complex, Vectors, Calculus & Integration. The questions and tips will be discussed.
TO REGISTER, SMS <STUDENT NAME> , <H2MATH>, <SESSION> TO 97860411.
As places are limited, pre-payment is encouraged to confirm your attendance. You can make payment by visiting the centre at the address above.
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
(Our location is just a 3-min walk from either the Bukit Batok MRT station or theBukit 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)
H2 Mathematics Intensive Revision for June
The H2 Mathematics Intensive Revision is focused on helping students REVISE their main CONCEPTS for their upcoming exams. The classes are designed such that the first hour will involve a thorough revision, and ESSENTIAL MIND-MAPS. The next two hours will be looking at the MUST-KNOW questions from a revision set that the tutor has collated and prepared. Students are required to bring their own writing materials. Notes will be provided.
1. Statistics – Friday 12 June or 19 June | 1 pm – 4 pm | Code: JCM0612 or JCM0619
2. Sequences & Series – Mon 15 June or 22 June | 10 am – 1 pm | Code: JCM0615 or JCM0622
3. Vectors – Tue 16 June or 23 June | 10 am – 1 pm | Code: JCM0616 or JCM0623
4. Calculus – Wed 17 June or 24 June | 10 am – 1 pm | Code: JCM0617 or JCM0624
5. Functions and Graphs– Thur 18 June or 25 June | 10 am – 1 pm | Code: JCM0618 or JCM0625
6. Complex Numbers – Fri 19 June or 26 June | 10 am – 1 pm | Code: JCM0619 or JCM0626
| No. of Modules | Fees |
| 1,2 | $150/ Module |
| 3, 4, 5 | S120/ Module |
| 6 | $110/ Module |
TO REGISTER, SMS <STUDENT NAME> , <CODE> TO 97860411.
As places are limited, pre-payment is encouraged to confirm your attendance. You can make payment by visiting the centre at the address above.
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
Our location is just a 3-min walk from either the Bukit Batok MRT station or theBukit 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.
Max. no. of students: 12.
PSLE SCIENCE JUNE HOLIDAY INTENSIVE REVISION
JUNE 2016
The PSLE Science June Holiday Intensive Revision is a 4-day intensive revision programme conducted during the upcoming June school holidays to prepare P6 pupils for the 2016 PSLE Science Examination.
Level/Subject: P6 SCIENCE
Dates: Mon 20/6, Tue 21/6, Wed 22/6, and Thur 23/6 (four 2 hr sessions)
Time: Afternoons 1.00 pm – 3.00 pm
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.
Target Group & Purpose: P6 students who wish to MASTER MCQ-ANSWERING TECHNIQUES, SCIENCE PROCESS SKILLS and SCIENCE APPLICATION SKILLS.
The objectives of the programme are as follows:
- Reinforcement of Science IMPORTANT Facts and Concepts.
- Recap of Science Process Skills (according to MOE syllabus): eg. Comparing, Classifying, Inferring, Analysing etc
- Review of Science Application Skills (according to MOE syllabus): Communicating, Predicting, Generating Possibilities, Evaluating, Formulating Hypothesis etc
Focus: CONCEPTUAL UNDERSTANDING & EXAM-ANSWERING SKILLS
Format: Teaching + Worksheets + Discussions
Fee: $240 (if registration confirmed in June), $190 (if registration confirmed before 1st June)
TO REGISTER, SMS <STUDENT NAME> , <P6SCIENCEJUN> TO 97860411.
As places are limited, pre-payment is encouraged to confirm your attendance. You can make payment by visiting the centre at the address above.
_______________________________________
TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
PSLE MATH EOY HOLIDAY INTENSIVE REVISION
MATH WORD PROBLEM-SOLVING
EOY holiday workshop for students in Primary 5 & 6
The objectives of the programme are as follows:
- Learn to solve word problems without model-drawing and heuristic tools
- Build confidence and speed when tackling complex word problems on whole numbers/fractions/decimals/ratio/percentage
Word Problems types include (but not limited to):
Before-After/Part-Whole/Repeated Identity/Number-Value-Total/Branch Method
Level: P5 & P6
Dates: Monday to Thursday, 12th to 15th Nov or 13th to 16th Dec 2023
Time : 9.30 am – 12.30 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.
Fees: $280 (Discount applies for current students of Singapore Learner & Concept Learning)
TO REGISTER, SMS <STUDENT NAME> , <PRIMATHJUNE> TO 98530744.
For enquiries, you may call us at the phone numbers below:
Tel: +(65) 6569 4897; +(65) 98530744, +(65) 97860411
As places are limited, pre-payment is encouraged to confirm your attendance. You can make payment by visiting the centre at the address above.
_______________________________________
TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
S4 A. Math Tuition Scheme of Work 2015
EVERY SUNDAY 11.30 AM – 1.15 PM
1/2 – Nature of Stationary Points
8/2 – Maxima & Minima Problems
15/2 – Maxima & Minima Problems | Connected Rates of Change
1/3 – Connected Rates of Change
8/3 – Integration
15/3 – Integration of Trigonometric Functions
22/3 – Integration of Exponential Functions and 1/(ax+b)
29/3 – Definite Integrals & Area Under A Curve
5/4 – Integration in Kinematics
12/4- Revision for MYE – Indices, Surds & Logarithms
19/4 – Revision for MYE – Polynomials & Roots of Equations
26/4 – Revision for MYE – Trigonometric Identities & Equations
3/5 – Open Revision
10/5 – Revision for Prelim I – Modulus & Power Functions & Binomial Theorem
17/5 – Revision for Prelim I – Coordinate Geometry & Linear Law
24/5 – Revision for Prelim I – Circles & Plane Geometry
31/5 – Revision for Prelim I – Further Trigonometric Identities & Equations
7/6 – Revision for Prelim I – Applications of Differentiation
14/6 – Revision for Prelim I – Applications of Integration
21/6 – Singapore Learner A. Math Mock Exam I
28/6 – Discussion on Singapore Learner A. Math Mock Exam I
5/7 – Revision for Prelim II – Surds, Indices & Logarithms
12/7 – Revision for Prelim II – Roots of Equations, Inequalities & Polynomials
19/7 – Revision for Prelim II – Binomial Theorem, Coordinate Geometry & Linear Law
26/7 – Revision for Prelim II – Circles & Plane Geometry
2/8 – Revision for Prelim II – Trigonometric Identities & Equations
16/8- Revision for Prelim II – Differentiation
23/8- Revision for Prelim II – Integration
30/8- Challenging A. Math
6/9- Singapore Learner A. Math Mock Exam II Paper 1
13/9- Discussion on Singapore Learner A. Math Mock Exam
20/9- Singapore Learner A. Math Mock Exam II Paper 2
27/9- Discussion on Singapore Learner A. Math Mock Exam
———————————————————————————————————-
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.
TO REGISTER, SMS <STUDENT NAME>, <S4AM1> TO 97860411.
For enquiries, kindly call 65694897 or sms to 9786 0411.