5NA 2010 Additional Mathematics homework

Dear 4N1 2009, you all have done well for your N level exams.
We managed a MSG of 2.43 for Additional Math.

To prepare you for a rigourous 2010, you are to complete the following HW:

Please come to school on 4th Jan with the following done!

1. Complete the following on writing paper, with workings properly done.

Express the following as a single fraction.



2. Revise the following topics for your A Math Block Test (week 2/3)
Chapter 2.1 to 2.3; Chapter 4.2 to 4.6
Complete the following questions on writing paper:
P. 21-22 Q1f, 2f, 3h
P. 25-26 Q4a, 4c, 6d
P. 28-29 Q1g, 1h, 5b, 5c
P. 82 Q1, 3, 5, 6
P. 88 Q1b, 2
P. 90 Q5
P. 93 Q3f, 5a

A Math Paper 2....

I suspect these topics will appear in your paper 2.

1. Solving Trigo equations.
2. Solving quadratic inequalities.
3. Equations of circles.
4. Differentiation : Product rule, quotient rule, stationery points
5. Integration: equation of normal, definite integral
6. Cubic equation
7. Remainder, factor theorem

All the best!!!!!!!!!!!!

We are active again!!!!!!!!

Dear 4N1s, we are active again....


Here are the answers are the E Math paper 1 you were given today... from my alma mater..

Mark on your own. If you need a particular step-by-step worked solution for a particular question, please drop me a message in the 'comment'.


Answers:





Click to see clearer version!

When school repoens....

For A Math, please bring Textbook, TYS and notebook.

For E Math, please bring 4B Textbook, TYS and notebook.

Of course, you will need foolscap paper for both subjects.

On the first day of school, we are not having Math.

Reminder: Bring a working thermometer. Bring your travel declaration form!!

Be socially responsible. If you have travelled to the 15 H1N1 affected countries (which includes HK, Thailand, Indonesia, Australia and Japan) and had returned later than 21 June, please refrain from coming to school. You will have been sent the LOA (leave of absence form).

MORE IMPORTANT

students who havent sent their particulars to miss liu plz do that asap as the deadline is near and if u cant send the particulars, u may post it on the blog... and also plzz take note that the email does not end with hotmail it ends with moe.edu.sg

IMPORTANT!

Click here

http://www.bartleysec.moe.edu.sg/latestNews/H1N1.htm

Results so far...

A Math Paper 1: highest 67/70

7 failures!

E math Paper 1: highest 63/80

56% passes.

---- many made careless mistakes, which could been avoidable.

We need more practice on column vector, position vector, disdtance time graph..

C'mon people!!! Last paper on Math!

I have faith in all of you!!!!!!!!!!!!!!!!!!!!

You can do it!

Paper 2 tips

After your E Math paper 1, I am sure some of you know very well which topics will come out for paper 2.

1. Quadratic problem sums.
2. Trigonometry (3-D/bearing)
3. Graph of function (graph drawing)
4. Vector
5. Probability
6. Percentage question
7. Change of subject

I have begun to mark Paper 1.
Many of your understood, but made careless mistakes.

All the way for your Paper 2!!!!
I have faith in all of you!!!!!!!!!!!!

4016 Trigo Revision 1

Q1

Final Revision test

You will need some of these information.

Click on above to see clearer image.

announcement for all students going for saturday english lesson

Please bring your thermometer!!!!!!!!!!!!

send this message around!!!!!!!!!!!!!!

thanks.

星期六的英文课，请带温度计！！

(posted on behalf of miss Mandy Liu)

pic for you

Test questions for 30th April

Q1

The Guru is setting a test for her students. She has found a great question.

Happily, she left the test paper on teh table and went to the toilet.

When she came back, she found that her baby daughter had doodled on the paper.

Please help her reconstruct the question.

Test questions for 30th April

Q2 My Dog ate my homework!

I fell asleep while doing my Math homework.

When I woke up, I saw my file open and my dog is eating my homework!

I fought with it and managed to take back some parts of my HW!

And this is all that remains.

Please help me to reconstruct my HW. I can't even see the question. Only the diagram and the final answer remains!

A Math Test results

Your recent A Math Test scores:



Trend--- There are some improvements.... some single-digits are improving.... (e.g. Charlene, Wu Pan)

A few who failed the previous tests are doing better too... e.g. Da Qiang, QiQi, Shu Wen.



Well done to Xue Chun and Bjorn!





Click image to see clearer results...

4016 Mock Exam

4016 mock exams will be conducted on Thu 23 April.

Paper 1 only.

all topics. Refer to TYS for sample paper 1.

Binomial Revision: Finding specific term

paban

Question 1
1a) $3000 + $2500 +2($2600) = $10700
1b)$40900 - $10700 = $30200
c)0.02x900=$180
0.05x21200=$1060
$1060+$180=$1240
d)1240/30200 x100 =4.105960625
=4.11%

Question 2
(2i) Total relief =3000+1000+2000+2000+2000+9600 = $19600
(2ii)48000-19600 = $28400
(2iii)12/100 ×28400 = $3408


Question 3
3)Total relief = 3000+2000+3000 = $8000
40000-8000 = $32000
10/100×10000 = $1000
15/100×22000 = $3300
1000+3300 = $4300

Heymath Income Tax Assignment

1a) his total reliefs= $3000+$2500+$(2600x2)
=$ 10700

b) chargeable income= $40900- $10700
= $30200

c) income tax first $9000 = $180next $21200 @ 5% = 5% x 21200
= $1060
total: $180 +$1060= $1240

d) 1060/30200 x 100% = 3.5 %
2. a)(i) total relief = $3000+$1000+$2000+$4000+$9600
= $19600
(ii) $4000x12 = $48000 per year
chargeable income = $48000 -$19600 = $28400

(iii) tax payable =12% x 28400 = $3408

3. total relief = 3000+2000+1500+1500= 8000

chargeable income = 40000-8000
= $ 32000
first 10000= $3200 next 28800 @15% = $4320

his income tax= $3200+ $4320=$7520

Income tax :)

1a. His total reliefs= 3000+2500+2(2600)= $10700
b. His chargable income = 40900-10700=$30200
c. First: 9000(2/100)=$180
Next: 21500(5/100)=$1075
His total income= 180+1075= $1255
d. The percentage is: 100%× (1225/30200)= 4.06%

2.a. His total reliefs for the year= 3000+1000+2000+2000×2+9600=$19600
b. His annual chargeable income= 4000×12-19600=$28400
c. The total charge is: (12/100) ×28400=$3408

3. His chargeable income= 40000-( 3000+3000+2000)=$32000
First: 10000×(10/100)=$1000
Next: 22000×(15/100)=$3300
His income tax is :1000+3300=$4300

heymath assignment solutions

1a) personal reliefs= $3000 + $2500 + 2($2600) = $10700
1b) chargable income = $40900 - $10700 = $30200
1c) first is 2 / 100 × $9000 =$180
subsequent is 5 / 100 × $21200 =$1060
total income is $1060 + $180 =$1240
1d) $1240 / $30200 × 100% =4.11%
2i) $3000 + $1000 + $2000 + $2000 + $2000 + $9600 =$19600
2ii) annual chargable income is 12($4000) - $19600 =$28400
2iii) 12 / 100 × $28400 =$3408
3) total reliefs = $3000 + $2000 + $1500 + $1500 =$8000
chargable income is $40000 - $8000=$32000
first $10000=10/100x$10000=$1000
subsequent $22000 = 15 / 100 x $22000 = $3300
total income tax is $3300 + $1000 =$4300

Heymath Income tax assignment

Question 1.(a) Total Relief=3000+2500+5200 =$10700(b) 40900-10700 =$30200(c) First $9000 at 2% = 9000×2/100 =$180 Next $21200 at 5%=21200×5/100 =$1060 Total Income tax = 1060+180 = $1240(d) (1240/30200x100) % =4.106%
Question 2.(2i) Total relief =3000+1000+2000+2000+2000+9600 = $19600(2ii) Chargeable income = 48000-19600 = $28400(2iii) tax payable = 12/100 ×28400 = $3408
Question 3.(3) Total relief = 3000+2000+3000 = $8000 Chargable income = 40000-8000 = $32000 First 10000 at 10% = 10/100×10000 = $1000 Next 22000 at 15%= 15/100×22000 = $3300 Income tax =1000+3300 = $4300

heymath income tax assignment

1] a]3000+2500+2600×2=$10700[his total reliefs]
b] 40900-10700=$30200[his chargeable income]
c]$9000×2%=$180
$21200×5%=$1060
$30200 → $1240 [income tax ]

d]1240/30200=4.11%

2] 1] $3 000+$2 000+$2 000 ×2=$9000[his total reliefs for the year.]
2]$9 600+4000=$13600
13600-9000=$4600
$4600×12% =$552[his tax payable]

3]$3000+$2000+$1500×2=$8000
$40000-$8000=$32000
$10000 ×10%=$1000
$22000×15%=$3300
$32000 → $4300[hisincome tax]

E maths {financial transaction}

1a)$3000+$2500+$2600+$2600=$10700

b)$40900+$10700=$30200

c)0.02x900=$180
0.05x21200=$1060
$1060+$180=$1240

d)1240/30200 x100 =4.105960625
=4.11%

2i)$3000+$1000+$2000+$2000+$9600=$17600

ii)$4000x12=$48000(annual income)
$48000-$17600=$30400

iii)0.12x$30400=$3648

3) relief.. $3000+$1500+$1500=$6000
$40000-$6000=$34000
0.10x10000=$1000
$34000 -$10000=$24000
0.15x$24000=$3600
$3600+$1000=$4600[income tax]

Heymath Income Tax assignment

1a) $3000 + $2500 +2($2600) = $10700
his total reliefs is $10700
1b)$40900 - $10700 = $30200
his chargable income is $30200
1c) first $9000 = 2/100 × 9000
= $180
next $21500 = 5/100 × 21500
=$1075
total income tax = $1255
he have to pay $1255 income tax
1d) 1255 / 30200 x 100 = 4.16%
the percentage is 4.16%

2i)Total relief = 3000 + 1000 + 2000 + 4000 +9600
= $19600
2ii)Chargable income = 12(4000) - 19600
= $28400
2iii)total charge = 12/100 × 28400
= $3408

3) Total relief = 3000 + 2000 + 2(1500)
= $8000
Chargeable income = 40000 - 8000
= $32000
first $10000 = 10/100 × 10000
= $1000
next $22000 = 15/100 × 22000
= $3300
total income tax = 3300 +1000
= $4300

Heymath Assignment

1.a)totalrelief=3000+2500+2600+2600 =$10700 b)chargeable income=40 900-10 700
=$30200 c)first $9000@ 2% 2/100×9000=$180 next 21 200 at 5% 5/ 100×21 200=$1060
Income tax=1060+180 =$1240
d)1240/30 200×100%=4.10596%
=4.11%
2.i)total relief=3000+1000+2000+4000+9600=$19 600
ii)chargeable income=48 000-19 600=$28 400
iii) 12/100× 28 400=$3 408
3. chargeable income=40000-3000-2000-3000=$32 000
First 10 000 at 10% 10/100×10 000=$1000
Next 22 000 at 15% 15/100×22000=$3300
Therefore, total income tax=3300+1000
=$4300

math assignment - online

1) a) total reliefs = $(3000+2500+2600+2600)
= $10700
b) chargeable income = $(40900-10700)
= $30200
c) 2/100 x $9000 = $180
5/100 x $21200 = $1060
Income Tax = $(1060+180)
= $ 1240
d) 1240/30200 x 100 = 4.10596…%
= 4.11%

2) i) total reliefs = $(3000+1000+2000+2000+9600)
= $17600
ii) chargeable income = $([4000 x 12] – [17600])
= $30400
iii) tax payable = 12/100 x $30400
= $3648

3) $(40000-3000-1500-1500) = $34000
10/100 x $10000 = $1000
15/100 x $24000 = $3600
income tax = $1000+3600
= $4600

Hey math assignment

1a)total reliefs=$3000+$2500+$2600+$2600
=$10700.
1b)chargable income =$40900-$10700
=$30200
1c)first $9000=2/100×9000=$180
subsequent $21200=5/100×21200
=$1060
total income tax payable=$1060+$180
=$1240
1d)1240/30200×100%=4.1059...%
=4.11%
2i)totalreliefs=$3000+$1000+$6000+$9600
=$19600
2ii)$4000×12=$48000
$48000-$19600=$28400
2iii)12/100×$28400=$3408
3)total reliefs=$3000+$2000+$1500+$1500
=$8000
Chargable income=$40000-$8000
=$32000
First $10000=10/100x$10000=$1000
Subsequent $22000=15/100×$22000=$3300
total income tax payable=$3300+$1000
=$4300

Income Tax

Click here to calculate income tax.

Handout have been despatched to absentees through Heymath!

Complete the handout and E learn activities.

Hand in your handout tomorrow morning.

E learning Assignment on Heymath! (Income Tax)

Absentees are to complete this Elearning assignment and hand it in tomorrow morning.
The handouts have been despatched to you via heymath!

a math

1)i will bring my a math textbook every lessons
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49)i will bring my a math textbook every lessons
50)i will bring my a math textbook every lessons

EMATH HOMEWORK

Sorry about today moii wrong>.<

Guys emath homework is from TYS not emath textbook...sorry about e mistakes i had made.
1.Do in Emath 1
2.From TYS pg 22 Q 5, 6 ,7
3.ONe question ONE page!
4.Due date is thursday.

Takkaire guys cya tmr in school.Very sorry agian>.<

e maths qns on financial transaction

Rudy is thinking of buying a European car that is being offered at

S$145 000, including COE. He has a few considerations before he

decides whether to buy.

Down payment is 20%.

A hire purchase plan that charges simple interest at 2.5% per

annum for a 7-year loan.

Road tax of S$1 250 per year.

Car insurance of S$1 500 per year.

What is his total monthly payment inclusive of road tax and car

insurance? Give your answer to the nearest dollar.


i.
S$ 531

ii
S$ 1852

iii.
S$ 470

iv.
S$ 3296

Financial Transaction Online test : Guru's solutions

Common errors:
Q12 (12 got this wrong)
A man borrowed $ P at 10% interest compounded annually. Determine P if the
compound interest for two years is $ 6615.
P + 6615 = P (1+ 10/100)^2 ---- this is a compound interest question!
P + 6615 = P (1.01)^2
P + 6615 = 1.21P
0.21P = 6615
P = $31500

Q3 (10 got this wrong)
clues: calculate balance after paying deposit.
i.e. 80% x 145000 = $116000

Use this balance to calculate total interest for 7 years.
Then add to balance. (This is the total repayment amount)
This repayment amount divided by 7 = repayment for each year.

Repayment for each year + road tax + insurance = Total cost per year

Total cost per year / 12 months = monthly repayment.

Q18In what time will $1500 amount to $1770 at 9% per annum simple interest?
$1770 - $1500 = $270 (interest)

using I=(PRT)/100 formula, you should be able to get

270 = (1500 x 9 x time)/100

Then work out the time.

emaths qns on finiancial transaction

A salesman gets 5% commision on the first 14 books and 7.5% comission on every additional book he sells on a day. the number of books that the salesman sold in a particular week are 7 , 9 , 15, 10 ,5 ,18 ,12 . if the cost of a book is $45 .what is the total commision that he got at the end of the week?
a)$171
b)$340.9
c)$253.1
d) none of the above

Benjamin

Question #2 Marks: 1
Your answer i is incorrect Your Score: 0
Mrs. Ong wants to purchase a refrigerator from a shop that offers a discount of 15% on the retail price of $3000. If the delivery charge is $25, how much will it cost Mrs Ong to buy the refrigerator and have it delivered?
discount=15/100x3000
=450
3000-450-25=$2525

Did you read the ST today?

New course at Poly: Designing Xbox games.

If you are an avid gamer, this is meant for you!

A simple percentage question

Your Guru has just booked a car.

The cost of the car is $52500.
She has placed a downpayment of $5000.

1.
How much will be monthly repayment be if she took a 5year loan at 2.85% p.a. simple interest?

2.
In the total price of the car, one component is the COE rebate of $5000.
It works in this way: If the COE for that month falls below $5000, the excess will be refunded to your Guru. (E.g. if COS costs $3000, she gets $2000 back) If the COE costs more, she does not have to top up any money.
Find the total cost of the car (inclusive of interest) if the COE price is
a. $7800
b. $2800

To know which car.... google for it. Suzuki SX4. You all will only get to see it next term, cos the car will only be available in late May.

Topics for A Math Block Test 3

These are the topics for A Math Block Test 3:

1. Differentiation (focus on Max and Min)
2. Integration (focus on area under curve)
3. Kinematics
4. Trigo proving

All the best for Block Test 3

E Math Block Test 3.....

all the best!

I will not be in class for E Math Block Test 3.

Topics which I feel you all should work hard on....

1. Circle Properties.
2. SD--- Remember the analysis part? Which school did better? You critique it by analysing the SD and mean.
3. Venn diagrams.

Topics which you all can definitely do well:
1. Coordinate Geometry

class photo

CLASS T SHIRT DESIGN UPDATED FINAL

this is the final design for the class t shirt ... no more changes ... no more complain ... each shirt will cost $12 and i have to collect it by monday ...

Suggestions for next term. What could be better?

Can you all give me some suggestions as to how to improve on teaching and learning in Math next term?

Please be specific and realistic.

I do not wish to see comments like "Teacher must slim down/Change the teacher/No more tests"

Your suggestions will be taken seriously.

Post your suggestions by commenting below.

reminder for school reopening...

HEY guys, For the people who failde your block test, study hard for your upcoming block test and you'll be on the write track!! this is a reminder from mdm Lo that when school reopens, you have to bring your E-math textbook book B. there should not be any excuse why you will not bring your text book. You should be responsible for your own learning!!! just another reminder, the english litespeed homework is out, so, you can go and do it!!! HaPpY HoLiDaYz...

Questions from Textbook

These are the questions stipulated by Miss Tay. You just need to complete these questions after you have completed the lessons from heymath!

Ex 5.1/ Q1,3,5,7,9,11 AND
Ex5.2/Q3 -->8 and 12

Do them on foolscap paper! Show all workings neatly and clearly! I will go through step by step. So if you have the step-by step workings, it will be very helpful and you will be able to see very very clearly what your mistakes are!

Sec 4NA Meet the Parent Session

Many thanks to the students who stayed back to help me with the organization of this event.

1. Ha, Martin and Han Bing for pasting the labels along the classrooms.
2. Usman, Han Bing and Meng Hwee for Pasting the labels in the hall.
3. Charlene and Nurul Liyana (4N2) for stapling the handouts.
4. Lucas and Kenneth for re-stapling some handouts on the actual day.
5. Usman and friends for carrying the cartons of drinks to the classrooms.
6. Kenneth, Bjorn, Charlene, Qiqi and Lucas for helping me in the classroom.
7. Durga for being a wonderful translator.

To those whose names i have forgotten to mention, a big !

Facta Non Verba!
Without you, the event would not have been possible.

YOUR MARCH VACATION.....

These are your assignment for Mathematics.

1. Complete the E learning lesson assigned by Miss Tay. More details are found on the handout. As pointed out by Qiqi, the lesson cannot be found.. so I searched for it and found it under


2. 8 questions for E math and 8 questions for A Math. Practise these questions and you will be all set for your Block test 2.

IMPORTANT!!!!!!!!!!!!!!!!!!!!!!!!!

the following people are supposed to bring your a and e maths exercise book on 13/3/09

1)shu wen (cow)
2)louis
3)wu pan
4)meng hwee
5)bjorn
6)rika
7)myself

homework and things to bring 11/3/09

Todays hw:
a math paper on area of curve

thursday's lessons:
A math , geography , chemistry , english , socials studies

REMEMBER!!!
bring along your A math tys and notebook just in case mdm lo ask for it...

remember if u never do homework u must remember the 10 + 2^n rule....

class t shirt ...
for most of the people who are saying that the class T - shirt is very expensive... I am trying to make the shirt nice but still cheap at the same time so that you dont have to draw it yourself... but i need everyones cooperation... i dont want people saying they dont want the shirt anymore...

Issues about Class T shirt

In my secondary school days, my school allow all students to make class T shirts. We had 1 T shirt every year. from sec 1 to sec 4.

But we only made the normal T shirt type...and they are not that expensive.

Rationale for having class T shirts:

1. Have a common identity during sports meet or any event that allows class T shirt.
2. To keep as momento. (since some may leave us at the end of this year...e.g. Paban going back to Nepal, and whoever is going overseas to further their studies)

Here are my suggestions:

1. use the $300 you all get for the best class award last year. [($18 x 40) - $300]/40 =$ 10.50
2. If the cost is still a concern for all of you, try to raise funds. I can donate some facial masks to you and you can sell to teachers at $1 each. If you managed to sell 40 masks, you earn $40, which can reduce price of T shirt by $1. So everyone polay $9.50... hey, this is almost 50% reduction from your $18.
3. If you really want a cheap T shirt...make a class t shirt in usual T shirt material.
--- lower cost
--- more comfortable
--- can even wear it in your school uniform
--- You can draw your own pic on it using marker (like what Martin did to his camp T shirt. It is gorgeous.
--- Your class will have the most unique T shirt around.. all the rest do ugly uncomfortable jersey type.

My suggested design: (just as a suggestion)


The front will just be a 1-colour abstract, modern design (to save cost)
Back will have school name and address... to make it cool. Like LV is 288 Orchard Rd etc
The box will be blank, just with border. you all will design your own number, register numbe ror fav football player number. Make it big and abstract. with your name.
All drawn using black t shirt marker or whatever colour you like.

so, 1 colour in front, i colour at the back.. so cheap!

by the way this is just your guru's idea.

homework and things to bring 5/3/09

Todays hw:
A math test (redo the whole paper)

monday's lessons:
English , E math , Geography , physics(act)

REMEMBER!!!
bring along your E math tys and notebook just in case mdm lo ask for it...

remember if u never do homework u must remember the 10 + 2^n rule....

NEWS!
Usman have found out the price of the class t shirt . it is $18 per shirt
those who are not interested can you pls post a comment or i assume u all want the shirt , if there are more than 7 ppl who do not want the shirt the whole class won't get the shirt at all...
For your info , other classes form teacher have make the making of class t - shirt compulsory and more expensive than us... so i dont know why u people are complaining about....
remember to read my comment..

Your Probability Test

I have completed my marking of your Probability test.

I am very pleased and estatic to announce that there is a student in your class who scored full marks!

Nonetheless, there are a handful of failures.

However, from your answers, I can see that most of you understood the topic well.

P(selecting a student who do not understand the topic)=0.05
P(selecting a student who is very fluent with the topic)= 0.35

Common errors....

last question: Probability that XX passes driving test each month is 0.7.
a)What is the probability that he will pass in either the first or second month?
b)What is the probability that he will pass in the first 3 months?

a) P(1st or 2nd month)= P(1st month pass) + P(1st month fail, 2nd month pass)

b) P(1st 3 months) = a + P(1st month fail, 2nd month fail, 3rd month pass)

...if you pass in your first month, will you take it again the 2nd or 3rd month?

Similarly, the probability that the Guru buys this LV speedy in a particular month is 0.8.

What is the probability she will buy it in Jan?
What is the probability that she will buy it in Jan or Feb?
What is the probability that she will buy in in the first 3 months?

If I buy it in Jan, do you think I will buy the same bag again in Feb or the 3rd month?
No! I will buy something else....e.g.

You all get what I mean?

homework and things to bring 26/2/09

Todays hw:
a math tb exercise 19.2 qn 3b,4b,5b,7b do in a math 1
heymath weekend assignment...print or copy

friday's lessons:
mother tongue , A math , english , socials studies

REMEMBER!!!
bring along your A math tys and notebook just in case mdm lo ask for it...
buy your geography workbook (sec 3 , 4) by next geography lesson
sign and bring the green edusave form thing tomrrow

Error to Weekend HW Q2

....for your info, the HW is from Heymath!

homework and things to bring 25/2/09

Todays hw:
a math tb exercise 19.2 qn 1a,b,e,f, 2a,b,e,f do in class notebook
heymath weekend assignment...print or copy

thursday's lessons:
A math , geography , chemistry , english , socials studies

REMEMBER!!!
bring along your A math tys and notebook just in case mdm lo ask for it...

PROBABILITY JOURNAL WRITING---WINNER!!

The winner is............BJORN!

Here is his journal.

Q: One day, you saw your uncle queueing under teh hot sun to buy 4D/Toto. Explain to him why he should not waste his money on these. Use the concept of probability to explain why the lottery company will always win.



There are some other entries that are good too. Here are the excerpts from some other entries:

Ha's entry


Xue Chun's entry

DEFINITE INTEGRAL

My personal feelings about today's session:

There is collaboration amongst students. (which is good)
People are really questioning why and not just copying blindly.


Learning really takes place!

Just some AFIs (Area for Improvements)
-When you discuss/spar ideas, be mindful that there are otehrs around you. Hence, keep your conversations short and not so loud.
-Bring rough paper of your own so taht you can take down notes etc.

These are solutions to 2 questions for today's HW. For your ref JIC you are nto osure how to present your answer.

Q1a


Q2f

homework & things to bring 24/02/09

Today's homework:
E math 2, Ex 4.2 Qn 12, 13, 14
Phy WS
EL comprehension (those who haven finished)

Wednesday's lesson:
Phy, A math, Chem, MTL, ACT( Social Studies )

Remember tt you DON'T NEED to bring A math TYS & TB...
lesson will be held at computer lab 4!!
Secondly, remember to bring the GIRO form.

homework and things to bring 23/2/09

hi guys sorry for the wait......

Todays hw:
E math tb revision exercise 2 all question on foolscap paper
E math tb exercise 4.2 qn 1-4 do in textbook

tuesday's lessons:
PE , e math , physics , mother tongue , ME , English

REMEMBER!!!
bring along your E math tys and notebook just in case mdm lo ask for it...
louis chua remember to bring your edusave form tomrrow or ms liu will ask you to go home and get it
those international students that have not paid the $65.55 , please bring it tomrrow or ms liu will send u home to take it as well
bring all your olympics notes tomrrow so that you can put it in the file

p.s
u guys can use the science blog for science questions that u guys don't understand
me and ben will try to help u guys out ^^
i have bought the pe files for the class , i will bring it tomrrow during pe lesson

homework & things to bring 20/02/09

Homework on friday (20/02/09):
A math 2, Ex.19.1 Qn 3c,d,4,5,6.

Monday's lesson:
Assembly, English, E math, Geog, ACT(phy)

Remember to bring E math TYS in case Mdm Lo needs it...

As requested by Lucas:the sock question

Here is part of the tree diagram.



Clue: This question is a no-replacement question.

e.g. Find the probability that he takes 2 black socks.

That will be he get a black sock, then another black sock.
Hence P(B and B) = 2/10 x 1/9 = 1/45 (after he takes out 1 black, there is only 1 blakc left and a total of 9 socks.)

Hope this is helpful.

Qn 7 worksheet on probability

3 pairs of white socks, 2 pair of black socks and 5 pair of grey socks are mixed and put in a drawer. on a particular day, john woke up late. He randomly snatched two socks from the drawer, put them on and rushed to work.
(a)represent the sample space using a tree diagram
(b)find the probabilty that john has taken
(i) a pair of socks of the same colour,
(ii) a pair of socks of different colours,
(iii) a black sock and a white sock.

4N1 Rhapsody

Students, please hold your pen,
Put your pen against the paper,
write down all the formulas,

Students, lesson had just begun,
But some of you are already dreaming away-
Students ooo,
No matter what, you must try-
I will not repeat this again, tomorrow-
Carry on, carry on, you know every lesson matters-

Too late, exams have come,
Send shivers down your spine-
Your head's aching all the time,
Goodbye to your books and notes
Gotta leave them all behind and face the truth-
Student ooo-
you don't want to fail,
Don't you wish you had studied a little more?

---sung to the tune of Bohemian Rhapsody (By Queen*)

*NOt ShuWen, But Queen as in Freddy Mercury Queen

homework and things to bring 19/2/09

hi guys sorry for the wait......

Todays hw:
A math tys pg 110 , qn 10 , 11 ... page 111, qn 13 , 15 ... page 112 , qn 16
More practice on probability paper

friday's lessons:
mother tongue , a math , english , socials studies

REMEMBER!!!
bring along your A math tys and notebook just in case mdm lo ask for it....
those who haven give the edusave forms remember to bring it tomrrow

p.s
u guys can use the science blog for science questions that u guys don't understand
me and ben will try to help u guys out ^^
for the PE file , do u guys want to buy it yourself or u wan me to buy for u guys
its not free u have to pay... but it is cheaper i think...
comment on this post , but by friday if less then 7 person commented , u guys will have to buy it yourself

E Math Probability HW

These are tips for Ex 2.4 Q12-14

Q14
I will use a simpler example to explain.

I have forgotten my password to my hurray! account. I know it is either pretty123, gorgeous123 or enchanting123. I have two tries to get it right. So i type in "pretty123" but it is wrong. I am prompted to key in the password again. Which password should I key in now? HOw many choices have I left?

So the probability of me being successful in my 2nd try is
P(successful in 2nd try) = P(fail 1st try, successful 2nd try) = (1/3)(1/2) = 1/6

Q13
This is similar to our Mr. Pitt getting married and having a child with blue eyes question.

Q12
Draw a tree diagram.

VECTORS E LEARN

THIS IS THE DIAGRAM FOR STEP 6.

Tips to A Math TYS questions

p. 112 Q16a

Find the x coordinate of the point on the line y= 5 - 2x where xy is a maximum.

How to think in this question?
Firstly, we usually do dy/dx and we need to have a y function in terms of x e.g. y=ax+bx^4.
In this question, there is no direct function of x. However, you are given y= 5 - 2x and xy. Can you put them together?

i.e. substitute y= 5 - 2x into xy?
Then you differentiate the function w.r.t x.
To find max or min, the 1st derivative =0.

p. 110 Q11
Some of you asked me what is a flower bed?
In this IT age, you can utilize the wonderful internet and just GOOGLE it!

Jay Chou sang about a chrysanthemum flower bed -- 菊花台
You can also see the link here for FLOWER BED

The important thing here is to sketch a simple diagram based on the requirements of the question.

And the diagram is VERY simple! Only a circle and a square!
However, there may be different ways to draw them.

No matter how you lay these two flower beds, your fence will be the perimeters of these two shapes. Hence, x(x) + circumference of circle = 40 (total lengthof fence as given by the question). You can then express x in terms of r and pi.

homework and things to bring 17/2/09

hi guys sorry for the wait......

Todays hw:
A math tys pg 110 , qn 10 , 11 ... page 111, qn 13 , 15 ... page 112 , qn 16

tuesday's lessons:
physics , E math , chemistry , mother tongue

REMEMBER!!!
bring along your E math tys and notebook just in case mdm lo ask for it....
those who haven give the edusave forms remember to bring it tomrrow
the A math hw is due on friday and not tomrrow so take your time to do it...
the E math homework is due tommrrow remember to do it ^^

p.s
u guys can use the science blog for science questions that u guys don't understand
me and ben will try to help u guys out ^^

home work and things to bring 16/2/09

hi guys sorry for the wait......

Todays hw:
E math tb exercise 2.4 qn 5 , 7 - 14

tuesday's lessons:
PE , a math , physics , mother tongue , ME , english(act)

REMEMBER!!!
bring along your A math tys and notebook just in case mdm lo ask for it....
those who haven give the edusave forms remember to bring it tomrrow
the E math hw is due on wednesday and not tomrrow so take your time to do it...

p.s
u guys can use the science blog for science questions that u guys don't understand
me and ben will try to help u guys out ^^

Our weekly plan.

Tue A Math
1. going through Block test corrections
2. reflections
3. Math weekend HW

Wed E Math
1. E learning (Introduction to Vectors)
2. Online test on Probability

Thu A Math
1. Introduction to Integration ch 19

Thu ACT
1. E Math--Statistics and Probability

Fri A Math
1. More on Integration ch19

Preview of Next week:
Class test on Probability
Class test on Differentiation (More focus on Connected rate of change and Maxima and MInima)

homework and things to bring 13/2/09

hi guys sorry for the wait......

Todays hw:
practice exercise part 3 qn 1 , 3 , 4 , 8-11

monday's lessons:
english , E math , geography , chemistry(act)

REMEMBER!!!
bring along your E math tys and notebook just in case mdm lo ask for it....
those who haven give the edusave forms remember to bring it tomrrow
tomrrows act should be chemistry because last week monday is the physics test

p.s
u guys can use the science blog for science questions that u guys don't understand
me and ben will try to help u guys out ^^
i will ask ben to put a chat box asap in the science blog ^^

Tips to A Math weekend assignment

Dear 4N1, here are tips to this weekend's A math assignment on Maxima and Minima.

Q1 Very simple. I am sure you can do it!

Q3 Also very easy.

Q4 Just find turning point and use the 2nd derivative to determine whether it is max or min.

Q8 Don't you think this resembles the question we discuss in class on Fri, when I cut out a piece of blue paper to illustrate the question? Well, you can draw out this diagram too, to help you understand. Remember, you need to find the volume too.

Q9. wait for my upload

Tips to today's HW

Q6
Volume of a cuboid = L x B x H
In the question, can you see that x+y=3 (as 2x+2y=6)

For the base of the box, one side is y, the other side is 2-2x.

Hence, for the cuboid,
you have
L : y or (3-x) because x+y=3
B : 2-2x
H : x

Hence use L x B x H to find vol of box.

For this topic, instead of dealing with y=function of x all the time, we solve problems relating volume of prisms, areas etc.

Method is similar to finding turning (stationary points) of curves.
Tomorrow I will still spend some time on this topic.

homework and things to bring 12/2/09

Todays hw:
exercise 16.3 do in a math notebook qn : 1a , 1c , 2a , 2c , 6

wednesday's lessons:
mother tongue , a math , english , socials studies

REMEMBER!!!
bring along your a math tys and notebook just in case mdm lo ask for it....
those who haven give the edusave forms remember to bring it tomrrow

On discussion of class t shirts.

Erh... like what I told some of you, this blog is meant for the discussion of Mathematics.

However, since the level of enthusiasm is so high, I will temporarily allow the discussion of Class T shirts here.

Nonetheless, I would like to impose some conditions.

1. For any poll/voting, you must do a statistical report. (measures of central tendency, pie chart etc)

2. For collection of money for the t shirts, a spreadsheet (for accounting purpose) must be posted here.

3. Do not comment using a new post! Keep the blog neat and tidy. If you need to comment, click on post a comment.

4. Every post must have a title and a label. Label should be Class T shirt. Examples of titles can be "Class T shirt Design 1", "Payment for Class T shirt" etc.

class tee

4n1 plz visit my blog to vote for the colours of class tee shrt

homework and things to bring 11/2/09

Todays hw:
exercise 16.2 do in a math 1 qn : 1a , 1d , 2a , 2d , 3-9

wednesday's lessons:
a math , geography , chemistry , english , socials studies

REMEMBER!!!
bring along your a math tys and notebook just in case mdm lo ask for it....
and good luck for the a math test tomrrow^^
remember to sign your edusave form for the local students and bring the money for the international students

class T-shirt

most of u guys wan to make a class T-shirt for our class
so i need ppl to come up with designs and post it on the blog
and wad colour u all like, our friend wu pan will check out the prices for us

things to bring and homework 10/2/09

Todays hw:
exercise 2.3 qn 1~6 , do in math 2

wednesday's lessons:
physics , a math , chemistry and mother tongue

REMEMBER!!!
bring along your a math tys and notebook just in case mdm lo ask for it....
and good luck for the geography test tomrrow^^
remember to bring physics stuff for physics lesson
set square
protractor
workbook
textbook
file

Online test for Probability

Those who did not have MT Block test attempted this online test on Probability.
Heymath online test on Probability


Despite informing them and reminding them about responsibility in learning and integrity, some were discussing the solutions and helping one another.

This is a self test for you to find out whether you really understand the topic of Probability. This is a matter of self awareness. When you do the test and find that there are certain questions which you do not understand, you can read up on it or post your queries here. There is absolutely no point getting full marks from sharing solutions with your friend.

Hence, I will expect all of you to complete the online test on your own! THIS IS A SELF TEST! Deadline: 11pm on Sunday (15 Feb)

Some resources

A website you can access to know more about Probability, especially those who think you need more explanations.



http://www.mathgoodies.com/lessons/vol6/intro_probability.html

JOURNAL WRITING 09/02/09

I had a glimpse of some of the Journal Writing you all did during my absence.

A few were quite good written.

Nonetheless, some did not read the question correctly.

You are supposed to write a letter.....

Anyway, I will be giving out prizes to the top 5 articles.

hw and things to bring 9/2/09

Todays hw:
exercise 2.2 qn 5-13

tuesday's lessons:
PE , E math , physics , mother tongue and ME

REMEMBER!!!
bring along your e math tys and notebook just in case mdm lo ask for it....
and good luck for the mother tongue test tomrrow^^
remember to wear pe shirts and shorts tomrrow... u don't wan to do extra push ups...

Some help regarding connected rate of change

En ze commented that he has difficulty in sieving out the important information in connected rate of change questions. I am sure many otehrs face the same problems too.
So, I am going to post this 2 examples to illustrate how you can sieve out information.






The types of questions are endless. These are but 2 out of the tonnes that I have.
Nonetheless, with the right attitude and adequate practice, all of you shouldbe able to do these questions in future.

HEY ben!! wow nice blog... but thanks for the solution. it really help me... the kopitiam prank is funny!!!!!1 see u at school!!!!!!!!!!!!

Clues to your HW Ex 16.1

Q1-3 are very standard questions. You are should not have problems.

Q4. A similar question was done in class. Check your class ntoebook.

Q5a. Find dy/dx. (you should know what rule to use)
Q5b. At stauionary points, dy/dx = ? (hence you can solve to find x)

Q6.
Just do your dy/dx first.
Then, ask yourself: What is the dy/dx at the stationary point?
Since the stationary point is at (3, 5), the value of x is 3.
Substitute into dy/dx and you get 1 linear eqn.
At this point, x=3 and y=5. Substitute into original equation and you should get another linear eqn.
Solve simultaneously.

Q7 to 10 are quite similar.
All of you should be able to do dy/dx and find the x-coordinates of the stationary points.
What does nature of the stationary points mean?
Whether they are minimum, maximum or point of inflexion. (check textbook examples)

HOMEWORK AND THINGS TO BRING 6/2/09

hey guys sorry for the late post if ppl even see my post....

Todays hw:
A math textbook ex 16.1 all the questions, do on foolscap paper
geography paper on rivers ( do it if u don't want to stay back with mr john lim...)

monday's lessons:
english , E math , geography

REMEMBER!!!
bring along your e math tys and notebook just in case mdm lo ask for it....
and good luck for the physics test on monday ^^ hope many ppl can win me this time because i don't want to send my files for checking haha

p.s
remember to check out the post below mine ^^

homework tips out in sc1enceguru.blogspot.com by your science guru ben pang lol...

A Math HW, E Math common test

It is so difficult to try to contain my laughter in class.
My face was stern but my heart was smiling.
Very nice to see the class so co-operative, quiet and attentive.
Should we keep up with this? Tell me by commenting below.


Anyway, this weekend's A math assignment should be done on foolscap paper. You can do several questions on 1 page. However, you must be neat and clear.

Try all questions first. I will post some clues here on Sunday.


E Math common test--
Generally, I am happy with the class' performance.
I will give out the paper on Monday and we will do corrections then.

A maths home work clues for 5(ii)

use the formula dv/dt=dv/dx. dx/dt
dv/dt = 40
dv/dx=pie height square/9
find dx/dt

the depth x means height so all height are convert to x

Q5 clues

typo error in question.............

replace r by x.

Solutions for Amath homework, specially by CHARLENE TAY!!! :) :) :)

Q1. y=(3x-2)^10 over 6

dy/dx = 10(3x-2)^9 (3) over 6

= 30 (3x-2)^9 over 6

When x=1/3,

30 (1-2)^9 over 6 = -5

dy/dx = dy/dx . dx/dt

dy/dx = -10 units/s

Q2.

(i) Clue-Write down all the information given first then start thinking.

dv/dt = dy/dx . dx/dt

60 = (0.03x^2 + 4.4x + 200) . dx/dt

When x = 10, 60 = (3+44+200) . dx/dt

60 = 247 . dx/dt

dx/dt = 60 over 247 cm/s

(ii) dx/dt = 0.2

60 = (0.03x^2 + 4.4x +200) . 0.2

0.03x^2 + 4.4x - 100 = 0

Use formula to solve for x.

Ans: x = 20cm

Q3. y = 3/4 ( x/12 - 1)^6

dy/dx = 3/4 [(6) (x/12 -1)^5 (1/12)]

= 3/8 (x/12 - 1)^5

dy/dt = 12 dx/dt

3/8 (x/12 -1)^5 = 12

(x/12 - 1)^5 = 32

x/12 - 1 = 2

x/12 = 3

x = 36

y = 3/4 ( 36/12 - 1 )^6

y = 48

As for Q5, we'll ask Math Guru tomorrow in class.

(cause I also don't know how to do , hahahas :p) but do try, if not she will scold! >:{

4N1, jia you! Study hard! Don't make our teachers DISAPPOINTED!

05Feb TYS homework.

05 feb TYS HW

Topic: Differentiation--Rate of change

TYS unit 11b p. 104-106
Q1 is a basic question which everyone should be able to complete!
Q2 has been discussed i nyour weekend assignment. Hope you still remember!
Q3 Similar to your HW from ME15.
Q4 Not in your syllabus. NO need to complete.
Q5 Similar to example 3 in your TYS (p.104)
Q6 NOt in your syllabus. NO need to complete.

I will collect your HW during flag raising. Please be ready with your HW in your hand.

THERE WILL BE CONSEQUENCES FOR BEING NOT SERIOUS IN YOUR WORK AND NOT RESPONSIBLE FOR YOUR OWN LEARNING!
YOU REAP WHAT YOU SOW!

homework and things to bring 5/2/09

Todays hw:
A math tys differentiation - rate of change all questions except those that mdm lo pointed out at the next post

geography paper on rivers

Tomrrows lessons:
mother tongue , a math , english , socials studies

REMEMBER!!!
the A math tys hw will be collected during flag raising so complete it at home don't wait until the next day to do it in school..

p.s
to mdm lo... the disappoint thing is a typo error.. i forgot the don't behind...

Your weekend homework.

I know some of you have problems with your weekend HW.

So, I will offer some help here:

E Math

TYS Q10b. You must find out what is the number of litres of oil left after leak.
ans: (500/x)-3.
The cost of the paraffin is now $x+1.
Hence, to calculate the money he received from selling the paraffin, you must multiply (500/x)-3 by x+1. (hint: Make it a single fraction)

A Math worksheet

Q2 Ht of cylinder is thrice its radius.


Q4


Hope you find the above clues helpful.

Comparing coefficient method

Here is the comparing coefficient method.
If you have any queries, please post in the comments.

Tips for the coming common test

1. Complete the TYS questions which I assigned.

These are typical questions which are very popular. I bet the common test question on quadratic problem sum will be similar.

I will post the solutions here on Sunday night. You may check your steps here.
Bear in mind that I will be collecting the HW for checking and there will be consequences for not being responsible in your own learning. I can only show you teh way. You have to slay your own dragon.

2. Look at the corrections for Block test one, pay special attention to the new steps(which I said were Miss Tay's steps) in rewriting a quadratic expression as A(x-B)^2+C. This method is also called comparing coefficient. I am sure you can find some questions in the TYS which will allow you to practise this method.

3. Practise inputing data into your calculator. Learn how to analyse and compare mean and SD and the implications. e.g. if mean is same, SD1>SD2, what does it imply?
Look at examples from your textbook and class notebooks.

And.....bring workbook on Monday!!!!!!!!!!!!! please spread this message if you happen to see it!

.....how did i find the test...?

The test was okay for me but i'm not sure how did the rest of the class find the test...but on the overall of the test in my view, i think it was okok..can do..but i still need a lot of practice on my differentiation..

answer =)

a. 1/4
b. 1/2
c.1/4

Greetings....

Heymath Elearning 28 Jan

2 coin tossing event??




Calculate the probability for

a. getting 2 heads

b. getting 1 head and 1 tail

c. getting 2 tails

Akan Datang Coming Soon 即将来临

Elementary Mathematics Common Test

5th Feb (Thu) during ACT
Topics to be tested:
1. Completing the sqaure
2. Standard deviation
3. Quadratic Problem sums

Additional Mathematics Block Test

12th Feb (Thu) during ACT
Topics to be tested
1. Solving simple Trigonometric equations
2. Differentiation (Ch. 14)
3. Rate of Change (Ch. 15)

Happy Lunar New Year!

Being MIA for such a long time is indeed one of my deepest regrets.

Your Guru hereby wishes all of you a Happy Year of the Ox!
May all of you be as tenacious and strong as an ox.
Strong in the mind as well as body!

We will all work hard together and ace our N and O levels!!!!!!!!!!!!!