Paper1_Math_D_Jun2005

Some comment on the following Qs which you have problems

Q4(b) You understood the meaning of Bearing. From the Q you did not
see there is an alternate angle to the given angle. Thus you were
unable to derive the bearing requested in the Q.

18 Pls check your computation for the last part of the Q. Ans is 219
and not 45. Careless.

19b(i)Plane perpendicular and bisecting AF. You must be able to write
in clear simple English. If not what you have written on the
exam paper is not what you have intended.

24 Your attempt on this Q is OK. You have used a sharp pencil to
draw. Good. But still your answers have a slight deviation. I
think it is OK. The examiner will allow slight deviation.

25(a) The reason as in Q19b(i). You wrote "Angles on a st line add
up to 180 deg and therefore angle PSR=60 deg" You should have
written as "Interior angles of 2 parallel lines are supplementary"
This mean the interior angles add up to 180 deg.

Paper 2_Math_D_Jun2004

Janice, my comment.
You have done well in paper 2. Pls read my comment. I hope when you
sat for this paper you did not refer to the answers. Try to do it as
if it is an actual exam. More practice, focus, remember the methods
you have learnt in this Jun2004 paper and most important do not mix
your emotion with exam. Keep emotion out and you can focus and
perform. World class player like Tiger Wood always keep his emotion
out when he is competing in major golf tournaments.

Q1 Well done 7/9 marks
a(i) OK
a(ii) As expected you could not start on this part.You have failed to
appreciate and use the fact that when they met they had been
travelling at the same time.
Thus let the time taken when Ben and Ann met be t sec
The time taken for the whole distance t=6000m / 10=600s
Total distance by Ben=3m/s x t s=3t m and Ann=7m/s x t s=7t m
Distance PM=3 x 600=1800m
a(iii) OK b(i) OK b(ii) OK

Q2 Well done 9/10 marks
(a) OK (b) OK
(c) Careless again. 2 dec places but you gave only 1 dec (minus 1 mark)
(d) OK

Q3 Only part b(ii) and b(iii) are tricky. Should get at least 7 or 8
marks/12
a(i) OK
a(ii) Observe the trapezium. You see that it has some right angles.
Can the trapezium be partitioned into triangles or other shapes.
Generally triangles come first. When you join DB, you have 2
triangles. Calculate the area of triangle BCD and subtract from
the area of the trapezium and you get the area of triangle ABD.
Finally you can get the height h.
a(ii) Use sin rule. b(i) OK
b(ii) Janice, pls check from your text whether any formula to
calculate the angle PQR in triangle PQR.
b(iii)
(a) No,as angle PQR not=90 deg or equiv(meaning other 90 deg angles)
(b) Mid-pt of PR (most logical)

Q4(a) There many acceptable answers. 540/5=108 deg or 180-72=108
deg answers are not sufficent. You must explain how you get
540 or 72 deg? A regular pentagon is make up of 3 triangles.
As each triangle is 180 deg, thus the interior angles of a
regular pentagon is 540 deg. Each interior angle of the
regular pentagon is 540/5=108 deg
b(i) OK b(ii) OK b(iii) OK b(iv) OK
c(i) OK c(ii) OK c(iii) OK

5(a) Pls check your set notation?
(b) OK c(i) OK c(ii) OK

6(a) OK (b) OK (c) OK (d) OK
7(a) OK (b) OK c(i) OK c(ii) OK c(iii) OK
8(a) OK b(i) OK b(ii) OK (c) OK (d) OK e(i) OK e(ii) OK

9 OK
10(a) OK (b) OK (c) OK (d) OK (e) OK
(f) Pls check your working on the probability it is 17/65 and not 16/65

Paper 1_Math_D_Jun2004

Janice, my comment.
A pretty good attempt. Just need to be more careful and less careless.
Need to be fast track with all the formula, theorem, principles and
the English use in the Q. More practice, calm and with less emotion
and you will perform. Remember all the tips in this exercise.

Q1. OK. A must score question.
Make sure you understand ‘as a percentage’ and other maths term
eg ‘as 3 decimals’ or ‘3 significant figs’ etc Check your text for
all other terms.

Q2. An easy Q and yet you got it wrong for Q2(a).
Carelessness is the main killer. Do not do it wholly mentally. Use
both mental and division on a paper. Use 2 or 4 for even fraction
and then maybe 8 or 9 to counter check. This will reduce error.

Q3. OK. A must score question.
Change any decimal number to whole number first
63 / 0.9 -> 630 / 9 = 70

Q4. OK. A must score question.

Q5. OK. A must score question.
More than one way of solving. But the easiest way is to read and
understand the Q5 first. The 3 key words straight,parallel & bisect.

Q6. OK. A must score question

Q7. You got stuck. Why?
Key word pie=22/7 & arc. As you know an arc is part of a circle.
Thus all the formula relating to a circle must come to your mind.
6 degrees in proportion is 6/360. You see a 2 mark Q cannot be
too difficult. Read your comment.

Q8. OK. A must score question

Q9. OK. A must score question

Q10. OK. A must score question
For Q10(b) change all values to 10 to power 4. There are other ways.

Q11. OK. A must score question

Q12. OK. A must score question

Q13. You got the scale of the graph confused.
Make sure you get the scale of the graph correctly first.

Q14. OK. A must score question
You understand what inequalities meant. Good.

Q15. Your bearing from C is out by 2 degrees. Your pencil very blunt.
You need a very sharp pencil to draw and careful marking to get
an accurate reading of the bearing.

Q16. OK. A must score question
Just testing your English, ‘lower bound’

Q17. OK. A must score question

Q18. You got stuck. Why?
No need sin, cos, tan rules as no angles are given. Key words are
square, right angles, sides and height. The first thing that
should come to your mind is Pythagoras Theorem. Remember PT.
Read your comment.

Q19. OK. A must score question
Diagrammatic Q are easy. It is testing more on your observation plus
some simple computation.

Q20. You get 3/4 marks. Not bad attempt.
Refer to the printout. I am not sure what are the 3 parallel lines 2 cm
from the coastline are. If I draw, there is only 1 parallel line.

Q21 OK

Q22 OK

Q23 OK

Q24 You got the visualisation correct and you arrived at 50tan30.
But the height of tree is 28.85 + 1.8 = 30.65. After rounding to
a reasonable degree of accuracy the height of the tree is 31m.
So pls take note of the above expression in Q24.

Q25 OK

Q26 Teacher have not taught yet. OK

Fishing the Stream

Give a man a fish and you feed him for a day.
Teach him how to fish and you feed him for a lifetime.

It's an old axiom. The goal is always to teach executives how to "fish the stream" for themselves. Streams represent the environments, the ever-changing realities of the marketplace that you and your organization are working in. You may be fishing many streams - the corporate network, the parent industry, the market, the government and the community. There are many currents and many streams that affect the success of your organization. To the degree that the strategy, systems and shared values are in harmony with the streams, your organization is more likely to achieve success.

What are Your Goals in Life?

Too many of us treat goal setting the same way. We dream about where we want to go, but we don't have a map to get there. What is a map? In essence, the written word. What is the difference between a dream and a goal? Once again, the written word. Goal setting however is more than simply scribbling down some ideas on a piece of paper. Our goals need to be complete and focused, much like a road map.

We should develop goals in these 6 areas of life namely Family and Home, Financial and Career, Spiritual and Ethical, Physical and Health, Social and Cultural, Mental and Educational

My 1st goal was to pass all my examinations and go to a good university. I achieved that in 1979. My 2nd goal was to find a good job in Singapore. I found that in 1980 and still working today. My 3rd goal was to buy an apartment of my own. I bought it in 1990. My 4th goal was to raise a family with 3 kids. I achieved that in 1991 when san jie ‘appeared’. My 5th goal was to join a good spiritual organisation. I joined SOKA Singapore in 1986. It is such a wonderful organisation. My 6th goal was way back in the 80s to at least participate in one NDP. I achieved that by taking part in the 1988 and 1990 NDP thru SOKA association. My 7th goal was to buy my first car. I bought it in 1993. My 8th goal is to maintain my weight at 70kg. Currently I have yet to achieve my ideal weight. No pain no gain.

I still have many many current and future goals which I have not listed. Just like making more money to help the less fortunate - charity or volunteer work. Cannot finish, just like World Cup goals, kick and kick, score and miss.

So you see, one can have many goals in life and unless we stay focus and put the effort, our goals will just remain a dream. What are your goals in life?