Posted in H2 Physics Answers

Suggested Answers to 2014 A Level H2 Physics 9646 PAPER 3

H2 PHYSICS PRACTICAL (20% weightage)

 


1 ai) The horizontal component of the velocity is unchanged.

ii) Along the vertical direction, the object’s velocity increases linearly from zero. This is because a resultant downward force acts on the object to cause it to accelerate. Thus velocity increases with t by the relationship of v(y) = gt.

bi) Horizontal component of the velocity decreases with time due to air resistance acting opposite to the object’s direction of motion.

ii) Vertical component of the object’s velocity increases from 0 with time at a slower rate due to air resistance. Thus the downward acceleration is less than g.

c) Path with air resistance will fall closer to the building.

2 ai) The angle which is subtended at the centre of a circle by an arc length equal to the radius of the circle.

ii) The product of 2π radian and the frequency.

bi) Ek = 0 ,  Ep = mgh = 4.7 x 10^-3 J

ii) 0.557 Hz

3 a) Increase in internal energy of a system is the sum of work done on the system and the heat supplied to the system.

bi) 4.98 x 10^-2  mol

ii) 1. -226 J

2. 0 J

iii) work done on gas: -226 , heat supplied to gas: -884

increase in internal energy: 344, 540, -884

4 a) Resultant displacement at a point due to two or more waves is the vector sum of the displacements due to those waves acting individually.

bi) 57.3º

ii) 0.49 : 1

5 a) Emax = h (c/f) – hf

bi) 4.35 x 10^-7

ii) Gradient of graph = hc

h = 6.667 x 10^34 J

c) Draw a line parallel to the original line but cutting the x-axis at a larger value.

6 a) A region of space set up by a mass, a charged particle or magnet, and surrounding the body, a field which can exert a force on another body that is not physical.

ii) The statement did not specify the type of field and state of particle. Hence the field may be gravitational field, and the force is due to the mass of the particle. The field may also be magnetic field. The magnetic force on the particle is only zero when it is in motion and not moving parallel to the magnetic field.

bi) Any point within a charged sphere will have no electric field.

ii) 1. A = 4.0cm   B = 2.0cm

2. The spheres have opposite signs. Since E is always >0, indicating that the electric fields from A and B are in the same direction.

iii) 1. 3.00 x 10^-15  J

2. a= 1.24 x 10^13 m/s²

3. From 4 to 18.5 cm, the electric field is predomniantly contributed by sphere A and decreasing with distance from A. Acceleration is +3eE/m

The acceleration of the nucleus decreases from a max value at 4cm to a minimum value at 18.5cm

From 18.5 to 28 cm, the minimum E starts to increase again, indicating that the E-field from 18.5cm onwards is predominantly from B. The E field’s direction is the same, and E >0, the lithium nucleus acceleration increases again.

7 ai) The ratio of the potential difference across the wire to the current flowing through the wire.

ii) The resistivity of a wire is a property of the material. It is related to the resistance by the equation R = pl/A

bi) 4.9Ω

ii) 118 turns

c) B = 0.72μ (NI/r)

di) 8.54 x 10^-24

ii) 4.58 x 10^-2

e) Vertical component of the electron’s velocity is perpendicular to the B field and hence it is subjected to a centripetal force. Horizontal component is parallel to the B field and remains constant as there is no magnetic force accelerating the horizontal velocity. Hence the resultant path is helical.

8 ai) A spontaneous and random process in which an unstable nucleus changes into a different nuclide, emitting radiation.

ii) It is unpredictable in both when and which particular nuclide will decay.

iii) Not triggered by external factors.

bi) 2.54 x 10^-10

ii) 4.25kg

ci) 156 W

di) The half life of plutonium is much longer than polonium. For a space flight lasting several years, the original quantity of polonium will have decayed to less than half in a year. Since plutonium has a long half life, over seven years, more than half would still be remaining.

ii) Plutonium has a higher power density as strontium has a much smaller mass and energy release.

 

 

A-LEVEL H2 MATH JUNE HOLIDAYS INTENSIVE REVISION

A-LEVEL H2 PHYSICS JUNE HOLIDAYS INTENSIVE REVISION

 

JUNIOR COLLEGE / A-LEVEL TUITION:

 

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Posted in H2 Physics Answers

Suggested Answers to 2014 A Level H2 Physics 9646 PAPER 1 and 2

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1) C  2) A  3) A  4) D  5) D

6) C  7) C  8) D  9) C  10) D

11) B  12) B  13) B  14) C  15) A

16) B  17) A  18) C  19) A  20) D

21) D  22) C  23) B  24) D  25) A

26) D  27) D  28) B  29) A  30) D

31) D  32) C  33) D  34) B  35) D

36) C  37) A  38) D  39) A  40) C

 

ai) Y = 60.0 N

ii) θ = 13°

b) For S to be in equilibrium, Rx = Ry = 0. If weight of S and angle of rope A is maintained, then Rx = X cos 30° > 0

2 a) P-type doping introduces more holes to the semiconductor, increasing the number of charge carriers. This increases the semiconductor’s ability to conduct electric current.

b) When forward biased, the holes in the p-type will be attracted to the negative terminal of the battery while electrons of the n-type will be attracted towards the positive terminal. A large current flows through and depletion region is decreased.

When battery is reversed, the holes in p-type are attracted to negative terminaal and elecrtons of the n-type are attracted to the positive terminal. Width of depletion region increases, junction voltage increases. No current flow.

3 a) As R increases from 0, V of qx decreases, V of xq increases. Since the terminal pd is V(wq) = V(wx) + V(xq) = 5.0 + V(xq) , V(wq) increases with R.

bi) 4.84V

ii) 96.8%

ci) 1.2V

ii) 0.531m

iii) When J is moved towards Q, L will be more than 0.531m. Hence the V in pj will be greater than in pk. Therefore the pd across K and J is greater than 0, which means there is a current through the ammeter now.

4 ai) After time, the coil would have turned an angle about the axis PQ. The magnetic flux linkage is 120BA cos (2π/T)t.

According to Faraday’s law, the induced emf is directly proportional to the rate of change of magnetic flux linkage through the coil, hence E is a sinusoidal function. The negative sign comes from Lenz’s law which states that induced emf opposes the change producing it.

ii) 1. 0.170V

  1. 25.0 Hz

b) 6.94 x 10^-3  T

5 a) The work done per unit  mass by an external agent in bringing a mass from infinity to that point.

bi) 1.19 x 10^27 kg

ii) -1.36 c 10^31 J

c) 1.41 x 10^7 m/s

d) Both Gravitational and electric field strength is related to their respective potentials by the negative of their potential gradient.
Gravitational potential is always < 0 whereas electric potential can be either positive or negative.

6 a) Rate of change of A decreases with increasing time. At the start, the system M and the disc moves very quickly. There is alot of resistive force from the fluid for the disc to overcome and thus A decreases at a high rate. As M and the disc moves slower, there is lesser resistive force and thus a slower energy loss, causing A to decrease at a lower rate.

bi) 5.00, 1.8, -4.0

ii) Plot the point ( 5.00 , -4.0 ), Draw the best fit line.

iii) -0.310 kg

iv) Equation 1 represents a straight line graph of ln A against 1/m with a negative gradient and a non-zero y-intercept.

v) 1. 0.124 kg/s

  1. 8.62 x 10^-2

c) 5.59 s

d) since t is directly proportional to m, as m increases, t also increases.

  1. The lamp, detector and material are all placed in a black box.

After the lid is put in place, the intensity meter should read zero. The holes which the wires are should be kept as small as possible.

The lamp itself is isolated in a compartment and light can only enter via a converging lens. Distance between light source and material d is 1m. Leave a small gap of 1mm between the detector and material.

  1. Set up the experiment.

  2. Switch on the lamp and measure the intensity.

  3. Switch off the lamp, put the slab in and measure I through the slab.

  4. Use a pair of vernier calipers to measure t.

  5. Repeat steps by using 2 slabs taped together, then 3 slabs, and so on, till a total of 6 results is obtained.

  6. Record readings in a table.

  7. Plot a graph of ln I vs t.

Reliability

Ensure minimum spread of light waves by adding a converging lens or using a laser source.

Safety

If laser source is used, keep flat reflecting materials away and avoid looking directly at laser source.

 

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

_______________________________________________________________________

TUITION FEES

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Posted in Personal, Schools

Sec 1 Posting Exercise 2014-2015

My daughter will get her posting tomorrow. I hope she gets her first choice school as it is the nearest good school to our home. If she does, all three daughters will be in different schools for the first time in our family. Thus in 2015, I may end up driving to 4 different schools in the morning, as my wife is teaching in a school which our children are not old enough to attend.

I would like to wish all the best to all who will be receiving their Sec 1 posting tomorrow. If you get the school you want, good for you. If you don’t, stop being sad and get on with life. Sec 1 is just the beginning of yet another long journey. It is more important that you are prepared for Sec 1 than getting the school that you or your parents want. Remember, the end is more important than the beginning. Which ever school you start with, you will still end up taking the same A-levels, IB exams or the SAT. You can do well in whichever school you go to if you work smart and stay focused.

Rgds,

Ilyasa

Related links:

Sec 1 (2015) Arithmetic & Algebra Math Holiday Enrichment for Post-PSLE students (starting 29 Dec)

Sec 1 (2015) Extended Algebra & Indices Math Holiday Enrichment for Post-PSLE students (starting 29 Dec)

Posted in Headstart Classes, Sec Math

Sec 1 (2015) Arithmetic & Algebra Math Holiday Enrichment for Post-PSLE students

This is the third re-run this year of our very successful annual S1 Math Headstart programme for post-psle students (see tutor’s comments at end of page). It reflects the recognition of parents and students of the importance of Algebra in preparing for Secondary Math.

TO REGISTER, SMS <STUDENT NAME> , <S1AA> TO 97860411.

Level/Subject:  Sec 1 Arithmetic & Algebra (S1AA)

Dates:  Mon 29/12, Tue 30/12, and Wed 31/12 (three 3 hr sessions)

Time: 2.00 pm – 5.00 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: Suitable for post-PSLE students who wish to learn more about Negative Numbers & Algebra, as well as basic Indices.

Purpose: To give post-PSLE students a HEADSTART in the THREE MOST IMPORTANT TOPICS of secondary Math – Arithmetic, Algebra and Indices, as students who do badly in Math in secondary school are usually those who have a poor FOUNDATION in these three topics.

Topics: (1) Addition, subtraction, multiplication and division of Negative Numbers; (2) Addition, subtraction, multiplication and division of Algebraic expressions; (3) Simplifying Algebraic fractions; (4) Basic Indices.

Focus: CONCEPTUAL UNDERSTANDING

Format: Teaching + Worksheets + Discussions

Fee: Only $270 for all 3 sessions (inclusive of materials & refreshments)

Tutor: Mr Ilyasa (M.Ed., PGDE, B.Sc, Ex-MOE Teacher, Full-Time Tutor of PSLE, ‘O’ and ‘A’ Level Math and Physics since 2004).

Mr Ilyasa has been coaching students in ‘A’ Level & IB Physics and Mathematics for more than 7 years, as well as ‘O’ Level & IP Physics, Additional Math, E. Math and PSLE Math for more than 10 years. An alumnus of RI and RJC, Mr Ilyasa holds both a Master of Education degree and a Postgraduate Diploma in Education with Credit from the National Institute of Education, as well as a Bachelor of Science degree from the National University of Singapore.

TO REGISTER, SMS <STUDENT NAME> , <S1AA> TO 97860411.

———————————————————————————————————–

Tutor’s comments:

The students took quite some time to understand the concept of negative numbers as it is not covered at all in the primary math syllabus. They were intrigued by the techniques of adding, subtracting, multiplying and adding negative numbers, and using BODMAS (Order of Operations) to evaluate an expression that is a mixture of these. Things became more difficult when fractions came in, but simplifying algebraic expressions become much easier when students have mastered arithmetic involving negative numbers and brackets as well as powers or indices.

Rgds,

Ilyasa

 

Posted in Schools

What is the highest PSLE aggregate score for 2014?

I don’t know. I’m waiting for more gossip to come my way, especially tomorrow when I meet my Sec 1 Algebra headstart students, some of whom are very competitive as two of them are the usual top 3 in their primary school. Parents are also a good source of gossip.

I’ve found a good way to determine which sec school my daughter should go to though, by texting my ex-S4 students who just completed their O-levels or those going on to Year 5 of their IP. The secondary students who actually went through 4 years in a school know better about that school than anyone else, especially about the teachers in that school.

Anyway, if you suspect a PSLE score is the highest, you can put it up here and see if anyone else can beat that score. It’s like an auction you know. Please also state the school. It’s not good to state the name of the student as the MOE, the student, or the parents may not like it. But in the first place, I disagree with the view that by not publishing the top students’ names and scores, educational stress in Singapore would be reduced! There are far more effective ways to reduce academic stress and pressures in Singapore.

Btw, the highest score for 2014 I’ve heard so far, from a credible source, is 280.

Ilyasa

Related link:

Sec 1 (2015) Arithmetic & Algebra Math Holiday Enrichment for Post-PSLE students (starting 29 Dec)

Sec 1 (2015) Extended Algebra & Indices Math Holiday Enrichment for Post-PSLE students (starting 29 Dec)

Posted in Schools

List of ‘Top’ Secondary Schools (2014) in Singapore by Cut-Off PSLE aggregate score (2013)

FREE SEC 1 MATH TUITION AT SINGAPORE LEARNER!


It seems that for the previous batch, the COPs have shrunk from the top as well as the bottom; schools at the top have their COPs lowered while schools at the bottom of this list have their COPs increased, such that to select roughly only the top 30 schools, I have to cut the schools off at a COP of 237 (yes, I have a COP for COPs). Here is the much awaited list (note that the COP here does not include the COP for the IP stream for schools with two tracks):

Please note there is more to choosing secondary schools than just their cut-off points. If you wish to here from me more about choosing secondary schools, please attend my free Talk this coming Sunday 25 Nov 2018 from 5 pm to 6.30 pm (Talk on Choosing a Secondary School by our Principal Educator)

Name of School COP 2014 Highest Score
NANYANG GIRLS’ HIGH SCHOOL 261 275
RAFFLES INSTITUTION 259 271
RAFFLES GIRLS’ SCHOOL (SECONDARY) 259 271
HWA CHONG INSTITUTION 256 271
DUNMAN HIGH SCHOOL 256 271
NATIONAL JUNIOR COLLEGE 255 269
CHIJ ST. NICHOLAS GIRLS’ SCHOOL 253 268
METHODIST GIRLS’ SCHOOL (SECONDARY) 252 257
TEMASEK JUNIOR COLLEGE 252 265
RIVER VALLEY HIGH SCHOOL 251 271
SINGAPORE CHINESE GIRLS’ SCHOOL 250 256
CEDAR GIRLS’ SECONDARY SCHOOL 249 265
ANGLO-CHINESE SCHOOL (INDEPENDENT) 249 256
CATHOLIC HIGH SCHOOL 249 266
VICTORIA SCHOOL 247 265
ANDERSON SECONDARY SCHOOL 246 258
BUKIT PANJANG GOVT. HIGH SCHOOL 245 262
NAN HUA HIGH SCHOOL 245 259
ST. JOSEPH’S INSTITUTION 245 257
CRESCENT GIRLS’ SCHOOL 245 257
CHIJ SECONDARY (TOA PAYOH) 244 255
ANGLICAN HIGH SCHOOL 243 260
ST. MARGARET’S SECONDARY SCHOOL 242 252
NAN CHIAU HIGH SCHOOL 242 262
CHUNG CHENG HIGH SCHOOL (MAIN) 241 259
FAIRFIELD METHODIST SCHOOL (SECONDARY) 241 252
SWISS COTTAGE SECONDARY SCHOOL 239 258
COMMONWEALTH SECONDARY SCHOOL 238 249
TANJONG KATONG GIRLS’ SCHOOL 237 259
NGEE ANN SECONDARY 237 262

The schools which almost made it to my list are listed below:

TANJONG KATONG SECONDARY 236 254
PAYA LEBAR METHODIST GIRLS’ SCHOOL 236 250
CHUNG CHENG HIGH SCHOOL (YISHUN) 236 255
MARIS STELLA HIGH SCHOOL 236 249
ANGLO-CHINESE SCHOOL (BARKER ROAD) 236 248
XINMIN SECONDARY SCHOOL 235 256

Related Links:

(1) Choosing a sec school: Is it more important to be in a ‘Top’ school or the Top class?

(2) Choosing a secondary school …

(3) Beware the critical years in math education in Singapore …

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CALL 65694897 OR SMS 98530744 OR 97860411.

Posted in Personal, Schools

Choosing a secondary school …

The following are some of the factors (not in order of importance) you may want to consider in wisely selecting a secondary school:

(1) Location / Distance of school from home: Secondary school students have a lot of work to do (academic and CCA), so please factor this in and not just think of how prestigious the school is. When I studied in RI from 1985 to 1988, I was staying at Chai Chee Road, and had to travel about 1hr 15 mins to Grange Rd almost every day. RJC was then, at Mt Sinai Rd, even further and the travelling time became 1.5 hrs. Thus I was sleepy most of the time and did badly in school tests and I did well only at the major national exams as we were allowed home study time. Today, we are staying at Bukit Batok and my daughter’s school is just a 5 min drive away, and she’s doing very well in school.

(2) Type of school (Integrated Programme; O-Level, IB etc): I had posted another article on the pros and cons of going to a school where students skip the O-level exams. This is something you have to consider carefully – the significance of not having an O-Level certificate. Remember that not all IP school students make it to Year 6, and of those who do, some are ill-prepared to take a high-stakes national exam and end up with poor A-Level grades. I’ve also posted another article on IB vs A-Levels.

(3) CCA available: I know of a student who goes to a particular school because that school provides Lion Dance as a CCA. Not all schools provide Rugby, Soccer or Fencing etc. So if your child has a strong interest in a particular CCA, it is important that you check out whether that CCA is available in the desired school.

(4) Subject Combination for O-levels: Some schools do not provide Economics and some schools don’t even have Tamil Language. In some schools, it is compulsory for all its Sec 3 students to take up A. Math and Chemistry. And some schools do not provide O-Level Literature or Art. And how many triple pure science classes does the school normally provide?

(5) Niche area: Some schools are better equipped for Sports, some for Science and others for the Arts.

(6) Co-Ed or Single-Gender: It is still a debate whether single-gender schools are better for teenagers than dual-gender ones. Some prefer daughters to be in an all-girls school. Bear in mind that all JCs and polytechnics are dual-gender institutions.

(7) The Principal: Sad to say, some school principals don’t know how to motivate their staff or their students. Some care about their overall school results more than the willingness of their individual students to explore and learn. But principals come and go, and the school culture may change when there is a change of headmaster.

(8) Affiliation: You may want to choose a secondary school that is affiliated to a junior college.

(9) School Culture: Some schools have a very pressurizing and competitive environment, and these schools are not necessarily the top ten schools. I think the environment in schools which are TRYING to create an image of being a top school is more pressurizing than that in a really top-performing school. Thus you might find that the exam papers in some top schools are actually easier than those found in less prestigious schools.

(10) It’s Cut-off PSLE Aggregate: This number will give you an estimate of your chances of entering a particular school. But I don’t think it’s a good idea to be the amongst the last few to obtain a place in a certain school, even if it is a prestigious school. Would you rather be a small fish in a big pond or a big fish in a small pond? Some parents say that being in a top school would motivate their child, but they forget that being in such a school can also destroy their child’s confidence in his or her abilities (this actually originally happened to some of my tutees from hci, nygs, crescent, nan hua, rvhs and njc).

(11) It’s Median PSLE Aggregate: Parents often forget to look at this one. If your child’s PSLE score is such that he or she is in the bottom half of the school’s cohort, chances are, he or she will not be in the top classes and will not get the full support or resources from the school. Some schools even assign their best teachers to the top classes only, and the lower-end classes may often get relief teachers.

Anyway, I wish all post-PSLE students and their parents all the best in their choosing of secondary schools. Please bear in mind that your performance at the PSLE is a poor predictor of your performance in secondary school, because the assessment style and aims have changed.

Lastly, is every secondary school a good secondary school? You decide.  : )

Rgds,

Ilyasa

About myself:

I was a secondary school teacher for 3 years before becoming a tutor in 2004. I also taught in a private school and in an international school. I’ve taught Math, Science, Physics and Chemistry to all kinds of students from Pri to JC and from all streams: Express, NA, NT, IP and IB. From my students and their parents I’ve learnt a lot about the various schools in Singapore, their problems, their strengths and so on. I also come from a family of teachers, and many of my friends are also teachers, HODs, VPs and Ps. I tutor my own children and they all have become proficient in Math and the Sciences. My youngest daughter just got her PSLE (2016) results and this will be the 3rd time I’m going through this school selection process. If you have any questions regarding schools, education or about tuition, feel free to contact me at 97860411. I will help answer your questions as best as I can. All the best!

Related pages:

FREE SEC 1 MATH TUITION AT SINGAPORE LEARNER!

Beware the critical years in math education in Singapore …

Choosing a sec school: Is it more important to be in a ‘Top’ school or the Top class?

_______________________________________

TUITION CLASSES:

jcbutton          secbutton

ipbutton                    pributton

_______________________________________________________________

EDUCATIONAL SERVICES:

hwsupervbutton                   intensivebutton

 

______________________________________________________________

By EX-MOE TEACHERS & EXPERIENCED TUTORS

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

CALL 65694897 OR SMS 98530744 OR 97860411.

 

 

 

 

 

 

 

Posted in Exam Answers, Pure Chemistry

Suggested answers to GCE O Level 2014 Chemistry (5073) Paper 1

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O-LEVEL PURE BIOLOGY HANDS-ON PRACTICAL CRASH COURSE (Thur 5/9, 10am-1pm)

O-LEVEL PURE PHYSICS HANDS-ON PRACTICAL CRASH COURSE (Sat 20/7, 2pm-5pm or Mon 2/9, 12pm-3pm)


SCIENCE (CHEMISTRY) HANDS-ON PRACTICAL CRASH COURSE (Tue 3/9, 2pm-5pm)

SCIENCE (BIOLOGY) HANDS-ON PRACTICAL CRASH COURSE (Thur 5/9, 10am-1pm)

SCIENCE (PHYSICS) HANDS-ON PRACTICAL CRASH COURSE (Sat 20/7, 2pm-5pm or Mon 2/9, 12pm-3pm)


Here are the suggested answers for O Level Chemistry Paper 1, worked out by our O-Level Chemistry Tutor Mr Eric Lee (Mr Lee is also our H2 Chemistry tutor). Detailed explanations will be posted soon. Answers for paper 2 will be posted soon too.

  1. B
  2. A
    3. A (corrected)
  3. B
  4. A
  5. A
  6. C
  7. D
  8. D
  9. B
  10. C
  11. D
  12. B
  13. A
  14. D
  15. A
    17. B
  16. C
  17. C
  18. C
  19. C
  20. D
  21. C
  22. D
  23. C
  24. A
  25. B
  26. C
  27. A
  28. C
  29. B
  30. B
  31. B
  32. B
  33. D
  34. B
  35. C
  36. B
  37. D
  38. D

scan

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scan scan0014 scan0015 scan0016scan0017 scan0018

 

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

Suggested Answers to 2014 A Level H1 Math 8864

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CALL 65694897 OR SMS 98530744 OR 97860411.

 

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Hi, we tried to rush it out. This might not be the most appropriate suggested solutions. Feel free to comment and discuss. Let me know if I make mistakes. Thanks!

Also, we might not respond too fast as we will be trying to do the paper 2 for h2 math later too.

ERRATA:

4(ii) I made a silly mistake substituting the equations back in. You should get (4, 18) and (8,6) as the answers.

Many thanks to those who point out my mistakes.

 

p pg scan0002

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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