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)
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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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 ?
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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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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.
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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.
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3(i) Length of rectangle = 9/2 + Sqrt(3)/6
3(ii) c = -1
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4(I) 2.25 4
(ii) 8x^2 + 5x + 64 = 0
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5(a) x^2 – 8x + 32 = 0. No real solution because discriminant is less than 0.
5(b) y = 1/x^2
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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).
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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
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To be continued
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 ….
Suggested answers to GCE O Level 2014 Math (4016) Paper 2
Related links:
-
O-LEVEL E. MATH TOPICAL CRASH COURSE
-
O-LEVEL A. MATH TOPICAL CRASH COURSE
-
O-LEVEL PHYSICS TOPICAL CRASH COURSE
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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
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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)
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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)
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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
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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)
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To be continued …….
Ad hoc O Level Math or Physics Tuition from 20 Oct to 26 Oct 2014
Firstly I would like to wish all O Level students all the best in your English exams on Monday. I’m aware that you have no exams from 21st to 26th Oct, and 27th to 31st Oct is Hell Week for most O level students.
So if you are a last-minute worker and you are desperate for some training in Math or Physics, please do consider coming to my place for 2-hr consultations during that precious week of 21 to 26 Oct. I’ve made myself relatively free in that week for this purpose.
Do contact me at 97860411 if you need additional training in Math, A. Math or Physics.
Rgds,
Mr Ilyasa
Suggested answers to GCE O Level 2014 Math (4016) Paper 1 (via crowdanswering)
NEW!
MOCK EXAMS FOR SCIENCE PRACTICAL
O-LEVEL PRACTICAL TRAINING
PRACTICAL CRASH COURSES
1) sqrt (0.48), 0.702, 27/38, 0.61
2) 3.90 swiss francs
3a) 629.25
3b) 630
4) 47.9 deg or 132.1 deg (or 0.836 rad or 2.31 rad)
5) zero hours not offered; the choices given for the intervals for the number of hours spent are not continuous; time limit, such as per day or per week, not set.
6) – 1/3 (corrected)
7) 112
8) 79.4%
9a) 1000
9b) 200%
10a) 32 sec
10b) 7.5 sec
11) $78.50
12) x = 3 cm, y = 5 cm, z = 15 cm
13) $7500
14a) 1/3 (b – a)
14b) vector DC cannot be expressed as k(vector OA), so vectors DC and OA are not parallel.
15a) Two circles overlapping
15b) {4,6,7,8,9,10,11}
16a) 3b^5/2a
16b) (8x-5)/(x-3)^2
17a) a = 5, b = 19, c = 26
17b) 7n – 2
c) There is no integer value of n such that 7n-2 = 109
18a) 8 11/18 m/s
18b) 9 min 43 sec
19a) graph curves upwards, passes thru origin
19b) s = 2.25 t^2
19c) 2.98 sec
20a) 1/4
20b) 1/16
20c) 55/64
21ai) (2.6 4.3 6.8) as in 3×1 matrix
21aii) E = (151.4 135.4) as in 2×1 matrix
21aiii) It represents the masses of the coins saved by Lin and Hadi respectively
21b) (10 20 100) as in 3×1 matrix
22) $644.17
23a) 314 cm^2
23b) 5 cm by 7 cm by 11 cm
23c) 42
24a) 9(x-1)
24b) 57 cm
24c) 196 cm^2
Ad hoc O Level Math or Physics Tuition from 20 Oct to 26 Oct 2014
Suggested answers to GCE O Level 2014 Math (4016) Paper 2
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Important topics and concepts for 2014 O Level Physics (5059)
I’ve just finished identifying the Physics concepts that will most likely be tested this year, based on my detailed analysis of the concepts tested in the last five years. My last year’s effort was quite accurate and I was even commended by a Physics school teacher, who asked me how I achieved my accuracy in prediction.
If you are not yet well prepared for this upcoming O-Level Physics exam, since time is short, you should attend my O-Level Physics Crash Course / Intensive Revision 7 Oct 2014 to shorten and enhance your revision process. Students who attended last year benefitted greatly but I’m just not into the habit of posting testimonials from students or teachers, that’s all. Anyway, all the best in your upcoming exams.
Rgds,
Ilyasa
A-LEVEL H2 PHYSICS (MODERN PHYSICS) Intensive Revision 30 and 31 Oct 2014
Dates: 30/10 (Tue) and 31/10 (Wed)
Time: Each day 2pm-5pm, 6pm – 9pm.
Location: Blk 627, Bukit Batok Central. (It is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok bus interchange. Buses that stop along the road in front of Blk 627 are numbers 157, 178, 66, 506, 173, 174, 176, 187, 941, 947, 985)
Fee: $600
Max. no. of students: 8.
Tutor: Mr Ilyasa (ex-sch teacher, M.Ed, PGDE, B.Sc).
A former MOE school teacher, Mr Ilyasa has been coaching students in ‘A’ Level & IB Physics and Mathematics for more than 6 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><MODERN3031OCT> to 97860411.
For any queries, you may also talk directly to Mr Ilyasa at 97860411.