Your Guru on Sunday Times!

Your Guru appeared on Sunday Times today! (28th Dec)
Go check it out!

Block test reminder

Hi dear 4N1 (2009),

you will have block tests from 5th Jan onwards.
Please be prepared!

E Math topics:
1. Matrix
2. Completing the square

A Math topic:
--taken from your holiday assignment.

Miss you all and looking forward to seeing you all on 2nd Jan (Friday).
Please ensure your attire and hair style is correct.
Spread around the news: school begins on 2nd Jan, NOT 5th! 7:15am!

See you all!

As requested by Enze (Set C ME12Q8)

I will help you a little bit...


Then solve...

Emergency Qn for A Math Set 3

Dear Madam Lo,
I have problem on A math hw set3 Q8
Just forget how to do

ENZE 敬上

empty class radio....

the class radio is so empty. it seems like no one visited...
i will not be turning on the radio unless more then 7 people comment this post or using the chat box.... the radio is currently closed down...

Your Guru is back!

Dear people,

I have been on a learning journey in Jiangnan （江南）, China.
Now I have been back, it is time to get down to serious work.

1. Preparing lessons for 2009.
2. Preparing your Test papers for Block test 1 for both E Math and A Math.

Your duties:
1. Complete your Holiday assignments.
2. Prepare for your block tests.

Answer this detective question.... anyone?

A woman, while at the funeral of her own mother, met this guy whom she did not know. She thought this guy was amazing, so much her dream guy she believed him to be, that she fell in love with him right there but never asked for his number and could not find him. A few days later she killed her sister.

Question: What is her motive in killing her sister?

Solution to Bjorn's question.

The question.

Since no one is willing to post their solutions, I will reveal the answers.

Read carefully, your Guru speaks!

Firstly, the calculation is erroneous. I am using a counter-example,

You should not do 3 x $9 + $2 = $29.
What if the owner gave back $10 and the bellboy pocketed $1, leaving $9 to be shared among the three? Each will get $3 back, hence each paid only $7.
3 x $7 + $1 = $22. What happened to the $8?

In fact, we should look at only the cost of the room.
In the original question, the room cost $25. $25 = 3 x $9 - $2 (each paid $9 and $25 goes to the room, $2 to the bellboy)

In my counter example, the room cost $20. $20 = 3 x $7 - $1

See?

class radio??

i m trying to make a class radio station to play some songs or something...
the link will b post as soon as possible
and those who wan to help with the radio station can post a comment

EDIT:this is the link to the radio www.4n1radio.blogspot.com
u need to download an add on,plug-in to listen

btw this radio will onli be playing music for the time being because i dont have a mic..
this radio station is also recruiting ppl to take over... if u wan to help u can post a comment

NOTE: the radio will onli b playing song when i m online , but dun worry i will be online most of the time

try this question i found^^

this blog no ppl post things de... so i start posting first

* 3 guys rented a hotel room that cost RM30 per night. So the 3 guys paid RM30 to the cashier.
* Which means, each of them coughed up RM10 to pay for it.
* However, the hotel was having some sort of promotion that night, and the room only cost RM25 per night.
* So the cashier handed over RM5 to a bellboy asking him to refund the 3 guys.
* Out of greed, the bellboy secretly pocket RM2 out of the RM5, and then returned RM3 to the 3 guys.
* Having returned RM3, each guy then took back RM1.
* So, in total, each guy paid RM9.


Here's the equation:

Each guy paid RM9.
RM9 x 3 = RM27

The bellboy pocket RM2.
RM27 + RM2 = RM29

So where did the remaining RM1 go?

As Requested by Arif

Dear Arif and all 4N1s (2009), to ask questions regarding a particular topic, you need to create a new post and preferably if you can , type the question here or embed the question as a picture file. Then I will give tips as comments.

anyway, here are the clues to Set A Q4-5







Can you see the patterns? For more info., refer to ch. 6 of your textbook.

E Math Holiday Homework

Complete all the following questions from your 4A Math textbook. Show all your workings neatly and clearly on fullscap paper and hand them in on the first day of school.

Ex. 3.1 (p.64-66)

Q2, Q4, Q7, Q8, Q9, Q10, Q11

Ex. 3.2 (p.71-72)

Q1-6

Ex. 3.3 (p. 74-77)

Q1, Q3, Q5, Q7, Q10, Q11

Ex. 3.4 (p. 83-86)

Q1, Q2, Q3, Q5, Q7-10

Additional Math Homework

There are 3 sets of holiday assignment.
Do them neatly on fullscap paper. They will be collected on 1st day of school 2009.


Set A:
Complete all the following questions.
You may either copy and print out the questions, or copy the questions.

Q1 Solve the simultaneous equations:



Q2

Q3

Q4 Solve 4x^3 + 3x^2 - 16x - 12=0

Q5 Write down and simplify the first 5 terms of the binomial expansion (5x-3)^8.


Set B
All the questions are from your textbook.
ME 7 p. 161-163
Q1, Q2, Q8
ME 10 p. 217-219
Q1, Q2, Q6

Set C
All the questions are from your textbook.
ME 12 p. 268-271
Q3, Q8, Q11

RE5 p. 134-135
Q1, Q3, Q5

If you have difficulties solving the questions, please post your queries here.
I will try my best to answer your questions.
Please ask your questions by 20Dec so that I have time to answer.

Group 4 (louis)

During a race there are 5 drivers named, Takumi , zero , Kaname , Yuuki and Kira who drove their car , mazda rx-7 ,mazda rx-8 ,nissan skyline ,mitsubishi evolution9 and Lamborghini gallardo respectively .Through asia starting from Singapore to Indonesia. The table below show the amount of petrol used per kilometer and the time taken for the race.
A) The cars needs to use the amount of petrol above. Form 2 matrices so that the matrix product can find the total distance in kilometer. Hence, find the average speed.

B) Calculate the total cost of the petrol in dollars used if 1 litre of the petrol cost $2.20.

Matrix Competition: group 8

A group of singer album their songs into three different album such as the DBSK, TVXQ and Tohoshinki. Their album was ordered by four factory from different country at the table shown below.
a) Write down 2 matrices such that the product gives the total amount of price
for each shop.
b) Find the total amount of money needed to pay the album in
a month.
i) The price of the album are in Sing $.Hence find the price in Rupiah when 1Sing$ =
7.800 rupiah.

Matrix competition group 10

3 teachers, mdm lo, mr sng and miss tan were in the moe website for the best teachers award they were judged as follows:
mdm lo has 300 votes for students 15 votes from staffs 300 votes from moe users and 30 votes from others respectively.
mr sng has 200 from students,25 from staffs,200 from moe and 20 from others respectively while
miss tan has 100 from students,10 from staffs,50 from moe users and 5 from others. The cost of votes is $0.30 per student,$0.20 per staff, $0.10 per moe user and $1.00 for others.
a)write down two matrices such as the to find the total cost of votes
b) the company made a mistake and increase the cost of votes increase by 10% the last minute,calculate the new matrix using a scalar.

matrix competition group 5 (usman!!)

The world consists ofthree major terrorists group, the group are called JM members, talibang and AL-qaeda.They use different types of bombs to bomb a country which are shown below in the table.

The cost of one siao bomb is $64, one cost of lame bomb is $120, one cost of babi bomb is $95 and the cost of one cow bomb is double of the cost of siao bomb.

i)Write down two matrices such that the matrix multiplication give the price of bomb per terrorising a country.

ii)The JM memeber then got to know that half of their babi bomb was fake.Find the total price of all the three terrorist group atfer they have bomb a total of 7 countries.

Matrix competition group 11:check lam

During a kill,person A,B and C seperate their organs.the average number orders for heart(H),
intestines(I), lung(L) and bone(B) for each kill were as follows:

Person A:20(H), 30(I), 60(L), 10(B)
Person B:30(H), 50(I), 80(L), 20(B)
Person C:60(H), 80(I), 90(L), 50(B)

The cost of each heart, intestines, lung and bone was $500, $300, $400 and $800 respectively in s'pore. $600(H), $400(I), $300(L) and $500(B) in Japan. $400(H), $600(I), $200(L), $500(B) in USA. Find

a)the cost of organs they seperate in s'pore.

b)the total cost of organs they seperate for each person in all the countries.

Matrix Competition MENG HWEE's Group 7

7) During the check ups, there are three hospitals, Metal hospital, 2K hospital and Fairy hospital. The table shown below is the sale of the blood.





(a) Write down two matrices such that matrix multiplication, will give the total price of the blood per hospital.
(b) By using matrix multiplication thrice, find the differences between the money earned between November and December per hospital.
(c) If there is an increased of 20% of the number of test tubes sold in December, what is the total amount of the test tubes sold in December?

Matrix competition group 2 (Lediana)

A fashion factory produces clothes in 4 types and delivers them to three shops. the types of the clothes are dresses (d), T-shirt (T) pants (p) and skirt (S)

Giordano receives 15 of (d), 30 of (T), 10 of (p), 8 of (s)
Hang ten receives 20 of (d), 35 of (T), 12 of (p), 10 of (s)
Baleno receives of 18 (d), 40 of (T), 15 of (p), 6 of (s)

The cost of one dress, T-shirt, pant and skirt are $14.00, $8.00, $16.00 and $13.00 respectively. They made deliveries to each store in one week. Giordano has 5 deliveries, Hang ten has 8 deliveries, and Baleno has 11 deliveries.

(i). Write down two matrices, such that the elements of their product, under matrix multiplication will give the cost of the clothes delivered to each store per delivery. Find the product of these matrices.

(ii). Write down two matrices such that the elements of their product under matrix multiplication, will give the total number of clothes of each type leaving the factory in one week. obtain the product and write down the total number of clothes supply by the factory in one week time.

matrix competition group 13 (zhishen and hafiz)

3 fishermen participated in a fishing competition. The table above show how many fishes they caught.
(A)Write down two matrices such that the elements of their product under matrix multiplication will give the cost of the total money they receive from the competition. Find the product of these two matrix.
(B)Extra time were given and fisherman A manage to receive 2percent more than the original money. Find the total money earn by fisherman A altogether.
(C)New fisherman D join in the competition.
B+C-D= -A
Find the matrix for fisherman D

Matrix Competition Group 3

A new pasar malam was set up along the street. There were three shops, A, B and C, selling handbags. Shop A sells 35 Addidas handbags 20 Converse handbangs and 30 Nike handbags. Shop B sells 20 Addidas handbags, 25 Converse handbags and 40 Nike handbags. Shop C sells 40 Addidas handbags, 30 Converse handbags and 15 Nike handbags. Each Addidas handbag cost $20, each Converse handbag cost $10 and each Nike handbag cost $25. For every handbag sold, the shop gives a discount.

Write down three matrices such that the elements of their product, under matrix multiplication will give the total cost of the handbags sold by the three shops.

MATRIX COMPETITION GROUP 12 . (BJORN)

THREE BOYS JAY, JEFFREY AND BEN PLAYED A GAME CALLED MAPLESTORY. THEY ARE ALL AIMING FOR THE HIGHEST LEVEL WHICH IS LEVEL 200.
JAY’S CHARACTER GAINS 100HP AND 200 MP PER LEVEL. HE LEVEL UP 1 TIME A DAY.
JEFFREY’S CHARACTER GAINS 150 HP AND 250 MP PER LEVEL , HE LEVEL UP 2 TIMES A DAY
BEN’S CHARACTER GAINS 350 HP AND 150 MP PER LEVEL , HE LEVEL UP 3 TIMES A DAY
JAY PLAYED FOR 1 MONTH AND GAVE UP
JEFFREY PLAYED FOR 3 MONTH AND GAVE UP
BEN PLAYED FOR 2 MONTH AND GAVE UP
(i) WRITE DOWN TWO MATRICES SUCH THAT MATRIX MULTIPLICATION GIVE THE NUMBER OF HP AND HP GAINED PER DAY ALTOGETHER
(ii) USE MATRIX MULTIPLICATION TWICE AND FIND OUT HOW MUCH HP AND MP THEY HAVE IN TOTAL AFTER 1 MONTH , 3 MONTHS AND 2MONTHS FOR EACH OF THEM RESPECTIVELY

Matrix competition group one(cow group)

During Singapore musical fastival. Four super stars held their own concent were as follow:





1a.Write two matries such that matrix muliplication gives the earning of ticket per singer?

1b.Find the total income per singer.

2.JJ and JAY donate 20% of there total income to Singapore RED-CROSS,SHE donate 15% and Rain donate 35%,Now,whob left more money?

MATRIX COMPETITION GROUP 9 !!( LUCAS)=D

ONCE UPON A TIME FOUR ASSASINS TRIED TO PROVE THEIR CAPABILITY BY KILLING POPSTARS IN THE WORLD .THEY WILL EARN US$300 FOR AN ASIAN US$490 FOR AN EUROPEAN US$634 FOR AN AMERICIAN AND US$988 FOR A MIDDLE-EASTERN.THE BELOW TABLE SHOWS HOW MANY POPSTARS ARE KILLED BY EACH OF THEM.

	asian	european	americian	Middle-east
SIN A	12	2	8	3
SIN B	13	4	9	14
SIN C	13	2	16	18
SIN D	11	8	12	13

AFTER KILLING THE POPSTARS,THEY MUST GET THE HEAD OF THE POPSTARS AND PLACED IT IN THEIR ILLEGAL MUSUEM AND TRADE THEM FOR MONEY.

(i)WRITE DOWN TWO MATRICES SUCH THAT THE PRODUCT, UNDER MATRIX MULTIPLICATION WILL GIVE THE TOTAL NUMBER OF EARNINGS EACH ASSASIN GETS.

(ii)IF EACH HEAD CONTAINS 500ML OF BLOOD, THEY WILL GET 1 HEAD PER PERSON KILLED.FIND OUT THE EARNINGS EARN IF 500 ML OF BLOOD IN THE HEAD ARE TRADED FOR US$800.USING MATRIX MULTIPLICATION

Matrix Competition....

Rules:

1. You can submit individual work or group work (maximum of 4 in a group)可以以个人名义或小组名义呈交。
2. Your work must be an original work. 作品须是原创。
3. Your subject must not be offensive/racist. 作品不得包含得罪他人的言论或宗族言论。
4. Your work must not contain materials/words of undesirable nature. That means, they must be under 'G' rating or at the most 'PG' rating. 作品不得包含色情，暴力或其他不雅的内容。
5. Your work will be assessed by The Guru and your peers.

Assessment:

The Guru will grade your work based on
Creativity （创意）, Accuracy（准确性）, Content（内容）, Language （语言）, Mathematical Concept （数学概念）。

The Guru's assessment will make up 50% of your scores. Voting by your peers will make up the other 50%.

Grouping:
Group1: Enze 2:Lediana 3:Tingxin 4:Louis 5:Usman
Group6: Zhilin 7:MengHwee 8:Ivan 9:Lucas 10:Benjamin
Group11:ChekLam 12:Bjorn 13:ZhiShen

Dear 4N1s (2009)

3 things I need you people to do.....

1. Post some comments. Your guru is so lonely posting on her own.
2. For those blog savvy people, please approach me if you think you can help to edit the blog so that it is more appealing. If you think you can help to change the blogskin, please come forward and recommend a nice skin/help me change the skin.
3. DO THE WORK I ASSIGN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Matrix Practice Questions

Dear 4N1s (2009), please try these questions when you are free. You may post your solutions and I will check through them.

You may raise any questions to clarify your doubts too.

Q1
Find the values of all variables required to make the following equalities true.


Q2

Wolfgirl's Howling puzzle 1

Across
3. b square minus 4 a c
6. _______ is the distance of maximum and minimum points from teh axis of the curve.
7. A string of variables where their powers are positive integers
8. When the _______ =0, this matrix has no inverse.
Down
1. We learnt about the Pascal's Triangle in _______ theorem.
2. (x-a)^2 + (y-b)^2 = r^2is the general equation of a _______.
4. The topic where you see many roots...
5. The ______ theorem states that when f(x) s divided by (x-a), the remainder is f(a)

----copy and paste, then print the puzzleboard out. Prizes will be given to first 3 submissions. (email me or post reply or snail mail--send to school address and addressed to me...Mdm Lo W L)

Results of Math Premier League 2008

The 2008 MPL (Math Premier League) has finally come to an end.

The overall winner is Val (3E3). Although I was only the coach for the second half of the season, I am still very proud of him.

Nonetheless, other players who joined this league did well too.

A few names I would like to mention is jorn (3N1). He has innate strengths whch could be tapped. I believe he should be a threat to others in future.
Chek..My pentium-4-with-a-faulty-dot-matrix-output. I would like to work more with him. Working with him is like buidling a sandcastle. Sometimes the sand will crumble. Sometimes insects will crawl out of the sand and bite you. But, with care and patience, the results will be magnificent castle.

My personal achievement as a coach:
3NA Additional Mathematics-- MSG 4.32 67.6% passes
3NA O level Mathematics----- MSG 4.49 75.7% passes
3E O level Mathematics----- MSG 5.75 55.0% passes

Welcome to the realm of the Math Guru....

Welcome......