QUIZZZ :D

1. You have a drawer in your bedroom that contains an assortment of black, blue and brown socks. You start randomly taking individual socks out of the drawer, but it's too dark to see what colour socks you have taken. How many socks do you need to take out in order to guarantee that you have got a matching pair?

a. 2
b. 3
c. 4
d. all but 2 of the socks in the drawer!


2. You are standing in front of the bathroom mirror and can see down to your navel. You walk back from the mirror. Can you now see:

a. More of yourself
b. The same amount
c. Less of yourself

3. You are at a wedding with 50 guests. What is the chance that among those guests there are at least two who share a birthday?

a. Almost certain
b. About 50-50
c. About 1 in 7
d. Extremely unlikely

4. Imagine a piece of string has been tied tightly around the earth's equator (assume the earth is a perfect sphere!), with thousands of children stationed around the earth next to the string. You now cut the string at one place, and add in one more metre of string to give it a little 'slack'. By how much can the children around the equator now lift up the string?

a. Not quite enough to squeeze a razor blade under
b. Enough for all simultaneously squeeze their hands under
c. Enough for them to put their fists under
d. Enough for them all to crawl under

5. You are listening to a random news story on the Today programme, which quotes some statistic, such as the number of refugees from a country, a company's profits, or the number of seconds it took a competitor to win a race. What is the chance that the first digit of the statistic is either a 1 or a 2 ?

a. Almost certain
b. About 50-50
c. About 2/9
d. Impossible to answer, depends on the story

6. A man leaves his tent. He walks 1 mile south. Then he walks 1 mile east. Then he walks one mile north. To his surprise, he now discovers that he is back at his tent, and at this moment he spots a bear. What colour is it?

a. Black
b. Brown
c. White
d. Pudsey


If you have any questions, feel free to leave your comment here okay :D

Hey guys, today i came across this interesting problem and i think i should share it with all of you. Actually it's a rather FAMOUS puzzle which, i think, many of you heard about. It's called

THE MONTY HALL PROBLEM!

For the benefit of those who haven't heard about it and those who have heard about it but forgot what it was about, the problem goes like this:

In the 1960s, there was a popular weekly US television quiz show called Let's Make a Deal. Each week, at a certain point in the program, the host, Monty Hall, would present the contestant with three doors. Behind one door was a substantial prize; behind the others there was nothing. Monty asked the contestant to pick a door. Clearly, the chance of the contestant choosing the door with the prize was 1 in 3.

So far so good?

Now comes the twist. Instead of simply opening the chosen door to reveal what lay behind, Monty would open one of the two doors the contestant had not chosen, revealing that it did not hide the prize. (Since Monty knew where the prize was, he could always do this.) He then offered the contestant the opportunity of either sticking with their original choice of door, or else switching it for the other unopened door.

The question now is, does it make any difference to the contestant's chances of winning to switch, or might they just as well stick with the door they have already chosen?

Well, most people think that it makes no difference if they switch. Here is their reason:

"There are two unopened doors. The prize is behind one of them. The probability that it is behind the one I picked is 1/2, the probability that it is behind the one I didn't is also 1/2, so it makes no difference if I switch."

HOWEVER THAT EXPLAINATION IS WRONG!!
Why is it so??

Try to think about it before you look at the full and correct explaination here

The hint is "Switching actually DOUBLES the contestant's chance of winning"
Interesting??



Definitely!! Enjoy :D

some of the birthdays we have missed on this blog..

xuling

tiffany

dat

wen cong

... HAPPY BELATED BIRTHDAY! ;D

HI EVERYONE :D

So finally promos, assessment week, pw...everything is over

Let's all take a good rest this holiday and enjoy yourself to the max :D However don't forget to complete your holiday homework okay

I promise you we will have an exciting year awaits us with a lot of exciting activities, competitions and events. Do look out for the notices which will be updated regularly on the blog.

See you all =)

AUSTRALIAN MATHEMATICS COMEPTITION RESULT

Year 9I

High distinction:

LIU KANGXIN
LE MINH NHAT (Prudence Award)
NGUYEN ANH TUONG
NGUYEN NHI ANH TRI
ZHANG RUIZHI

Distinction:

DO ANH TU
REN YI

Year 10I

Distinction:

NGUYEN PHU LAM
MAC HOAI LINH

Year 11S

High distinction:

NGUYEN QUI HIEU
LU YAOZHI

Distinction:

DANG HOAI PHI
CAO LUU QUANG
TANG NINGRUI
NGUYEN ANH KHOA
WANG XULING
BUI HAI MINH
TAN JUN SHING, EDMUND
- LIM WEN CONG

Year 12S
Distinction:

LI CHUN
XIAO XUE

Congratulations to all the winners :D:D
AMC next year will be held on 5th of August so there's plenty of time left for you to practice
Let's try harder next year and aim higher okay =)

Maths Soc - Burning with passion

For all the Maths-lover, i've uploaded some challenging questions for you to practice.You can download them here
Answers for those questions can be downloaded there ----------------> =)

Enjoy :D

Hi everybody
Are you all enjoying your holiday :)
I know there's a HUGE amount of homework to finish but at the same time, try not to forget the meaning of the word "HOLIDAY" okay =D
I've also uploaded the slides for last session here, if you have some free time you can just play around with your Mobius Band haha :D:D
Alright, remember to spend your holiday wisely okay, we'll see each other sooooon :D

*******************
Beauty of Maths

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

Brilliant, isn't it?

And finally, take a look at this symmetry:

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

Yes MATHS is really like that - Full of wonders.

You should also know the POWER OF 9.

Anything multiplied by 9 , it's sum total is 9.

For example, 62 * 9 = 558; 5 + 5 + 8 =18; 1+ 8 =9!
Just give it a try =)

Ever heard of this equation : e^iπ + 1 = 0 ?

It relates the five most fundamental constants in mathematics,

e and π are both transcendental and i is imaginary and yet they combine with 1 to make 0!

How wonderful <3

Hi everybody
We will have our last official session this friday (4th Sept) 5.30-7.30pm
The venue is LT1
Please bring along somg paper, pencil, scissors and glue/tape!! We're gonna do some cutting and pasting for this session =)
Please be there on time :)


There will be no more sessions in Term 4 as CCA activity has been totally disallowed =( However, online materials will be prepared occasionally to be disseminated to members.
So please take this opportunity to revise for your coming Assessment Weeks, Promos okay
See ya all sooon :D

**********
For those who are very bored with all the regular Maths lessons we learn in school, here are something you may find interesting


Russell's paradox:
The set M is the set of all sets that do not contain themselves as members. Does M contain itself?


If it does, it is not a member of M according to the definition.
If it does not, then it has to be a member of M, again according to the definition of M.
Therefore, the statements "M is a member of M " and "M is not a member of M " both lead to contradictions.


So what's the answer to this question?


Find more about this interesting Paradox here

Guess whose birthday it is!?

our very own president...

BUI HAI MINH!

HAPPY 18TH BIRTHDAY

WOW

now you're of legal age..

which means

you're growing older hehehe

stay beautiful and

have a nice year ahead!

HI EVERYBODY
HERE'S OUR PLAN FOR AUGUST!!

Our coming session will be this Friday 14th of August, 5.30 to 7pm in LT1
We'll be doing Game Theory which is a veryy interesting topic. I think it doesn't sound very familiar to many of you right (:
Anyway please come punctually at 5.30 sharp.
SEE YOU THERE :D

***********

Congratulations to YiXuan for successfully getting to the Final Round of the Sudoku Master
We hope you all the best for this competition.
Remember if you have any trouble just think of us and you will see the solution much faster haha
GOOD LUCK YIXUAN
YOU ROCK =)

Hi everybody,
our session this week starts at 5pm in Lt1
We're gonna play a lot of interesting activities on that session so dont be late (:
For those who ordered the badge, please bring along $5
Attendance is compulsory
See you all there =)

HAPPY BIRTHDAY ZHANG RUIZHI!

hope you have a fun year ahead

and dont worry too much about ur results, ok? :)

HAPPY BIRTHDAY TO NGUYEN ANH TUONG

congratulations for turning SIXTEEN!!

hope you have a happy year ahead

with loads of new experiences

and good luck!!!!!

XD

!

[in case u didnt notice, i was trying to make an inverted triangle. epic failure] XD

Math soc outing: DA VINCI - THE GENIUS!!! COOOL!!! (:

Math soc outing was really FUN to me!!! hope it was FUN for all of you toooo! (:
We had gone to science center and watched many coool stuff about DA VINCI -the genius. haha. Hope you guys learned something about the famous and mysterious genius as well as the exhibition itself, haha!!! I wish next time we all can go for a similar outing together. That would be damn COOL!!! (: Rest well! See ya on Friday!!! CHEERSSS!!!

Above are the pictures if you want to download :D

HAPPY BIRTHDAY CHEN WEIJIE!!

oh wow u turned 15, nice number XD

(but of course, for a true blue math enthusiast, every number is nice) =))

ok let's not talk crap while posting someone's birthday, shall we? XD

also, congrats for being one of the top scorers for MI!! xD

Hii everybody, there are a few IMPORTANT things to take note


1. CCA activities will carry on as usual from next week onwards. So, our first session will be on Friday 17th of July and we will be doing Sudoku that session =)

Also, we will have the trip to Science Center on the 15th of July. The Jh1/Jh3 may tag along with us so i think we will have some good time playing with the kids haha.



2. There's this MATHS ENRICHMENT CAMP organized by NUS on Saturday, 15th of August from 9am to 6pm. More information can be found here. Subsidy will be given from the school.Further detail will be confirmed later.

Interested students please email Minh at haiminh_91@hotmail.com. This enrichment camp can give you a good exposure to Maths and you can meet friends with the same passion for maths here. Do let Minh know if you are interested okay =)



3. The NOTICE BOARD has revived thx to our heroes Linh, Yixuan, Alison and Yaozhi who didn't mind the rain to come to school and help out. it looks fantastic now haha. Thank you so muchh you guys rock =)

From now on let's try to maintain this notice board okay.

OUR LOVELY NOTICE BOARD <3

YUP ENJOY YOUR NEW TERM EVERYBODY ^_^

Hi everybody, here's our schedule for July, please be clear abt what's going to happen =)

Also, please take note that, due to H1N1 outbreak, some CCA activities will be cancelled and thus, there will be NO SESSION this friday 10 July =(

We will inform you if there's any other change in plan. Meanwhile, enjoy your new term everbody haha






********************

Did you know that...

1. =3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 ...
   
   
2. In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
   
   
3. Everything you can do with a ruler and a compass you can do with the compass alone
   
   
4. Among all shapes with the same perimeter a circle has the largest area.
   
   
5. You are wrong if you think Mathematics is not fun
   
   
6. Some numbers are square, yet others are triangular
   
   
7. The next sentence is true but you must not believe it
   
   
8. The previous sentence was false
   
   
9. 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
   
   
10. One can cut a pie into 8 pieces with three movements
    
    
    
11. A clock never showing right time might be preferable to the one showing right time twice a day
    
    
12. Among all shapes with the same area circle has the shortest perimeter
    
    
13. There are only 10 types of people in the world - those who understand the binary system, and those who dont!

HAPPY BIRTHDAY TO OUR JH PUBLICITY OFFICER
LIU YIXUAN!! xD
(whose email is fantastic.crab LOL)
and since ur the publicity officer, yixuan,
let's PUBLICISE ur birthday LOL
just kidding heheheh
enjoy ur birthday!!
(and the rest of the holidays hahah)

3RD MATHSOC EXCO MEETING AND YIXUAN'S BIRTHDAY PARTY!!! FUN LOL!!!

You look so cute Yixuan, haha sweet 17th ^^

So many greedy people here!!! What a shame!!! hoho =)) =)) =))

TO OUR VERY OWN SH WELFARE OFFICER
LU ZHAO AN!!
xD
ur turning 17 sia!! so old already LOL
enjoy ur ripe old years XD =))

HAPPY BIRTHDAY LIU KANGXIN!!
how's enjoying ur birthday at home?? LOL
hope u had a nice birthday kay,
and ENJOY the rest of the year!! XD

HAPPY BIRTHDAY CAROLYN!! xD

hey ur turning fifteen hahahah

enjoy ur IP1 year (or as they would have it, JH3..)

may God bless you~ XD

CONGRATULATION TO THOSE FROM MATHSOC WHO ARE INVITED TO PARTICIPATE IN SMO SPECIAL ROUND :D

1. Le Minh Nhat
2. Liu Kangxin
3. Nguyen Anh Tuong
4. Nguyen Phu Lam
5. Li Chun

YOU HAVE DONE US PROUD :D:D

OKAY GO PRACTICE AND ALL THE BEST FOR YOUR COMPETITION
YAY =)

p/s: and all the best for the other participants also, let's go beat RJC haha :D

HAPPY BIRTHDAY TO OUR DEAREST NGUYEN PHU LAM!!

you are turning sweet sixteen woohooooooooooo.. XD

(yah, yah, we all know sweet sixteen sounds a bit wrong for guys, but anyway... XD)

we hope you will enjoy this day and cherish your sweet sixteen yay!!

[and dont look so tense like in the picture yah! XD]

Paradox of wizard and mermaid

An infinitely rich wizard has a mermaid in the pond of his garden. He likes to play with her and gold coins. Every minute he throws two coins in the pond and she throws him back one coin after a half minute.

When this game is allowed to run forever, how will the money be distributed? We are allowed put a label on all the coins, numbering them 1,2,3,4, etc.

Solution 1

The wizard gives the mermaid coin number 1 and 2, she returns number 1. He gives her number 3 and 4, she returns number 2. He gives her number 5 and 6, she returns number 3. And so forth.
Conclusion: eventually each coin returns to the wizard, so he will have everything back again and she has nothing.

Solution 2

The wizard gives the mermaid coin number 1 and 2, she returns number 2, keeping number 1. He gives her number 2 again together with 3, she returns number 3, keeping number 2. He throws number 3 and 4 in the pond, she gives him number 4 back, keeping number 3. And so forth.
Conclusion: at the end she will keep all the coins, and the wizard has nothing.

Solution 3

The wizard gives the mermaid coin number 1 and 2, she returns number 2, keeping number 1. Next time, however, the wizard throws coin number 3 and 4 in the pond, the mermaid keeping number 3, returning number 4. And so forth.
Conclusion: at the end she will have all the odd numbered coins and the wizard all the even numbered, so both are equally rich.

by Tetyana Butler

So which one is correct??? =)

*****************************************************************************************


TO ALL MATHS SOC MEMBERS, PLEASE CHECK YOUR EMAIL AND REPLY ASAP OKAY!!!

TO EVERYBODY WHO HAS BEEN EAGERLY WAITING FOR THE ANSWER TO THE PREVIOUS QUIZ, HERE I PRESENT TO YOU

A LEVEL ANSWER =)))
and i hope it's not to lame to be comprehended haha :)

ENJOY YOUR HOLIDAYY :)

HI EVERYBODY :) HOPE YOU'RE ALL ENJOYING YOUR HOLIDAY :)))))
HOWEVER DONT FORGET TO STUDY HARD FOR YOUR EXAMS OKAYYY



If you're really bored and you want to do something interesting, you may try this quiz below, i find it veryyyy interesting and LAME hahahaa. Enjoy :D

Da Vinci - The Genius @ Singapore Science Center

A new addition to the Da Vinci – The Genius exhibition is the Secrets of Mona Lisa display. French scientific engineer and photographer of fine art, Pascal Cotte was granted unprecedented access by the French Government and The Louvre Museum to conduct an extensive scientific evaluation of this masterpiece. He did so under strict security and supervision, taking her out of her frame and away from the protective glass enclosure. His photographic examination and findings have startled the art world – making 25 revelations including identifying her original pigment colours, proving she indeed did have eyebrows and eyelashes and producing the world’s only 360 ° walk around replica.

More information can be found here

--------------------------------------------------------------

This exhibition is a very good exposure for all of us as it gives us great insights into Maths and Science. And it can be a fun bonding activity also. If possible, we may all go for it after Common Test. Details to be confirmed.

The original ticket price for this exhibition is $9 but if we can get 30 students to do, it will cost only $8 and we also have another $4 subsidies from the school. 2-way transport will be provided
as well so we dont have to worry about getting lost haha :)

For those who are interested, please let Jiang Yuan or Minh know asap, best before this weekend. You all are STRONGLY RECOMMENDED to go though :D

HAPPY BIRTHDAY TO NING RUI :D

Thank you so much for being such an enthusiastic member in our family haha. You've always been so helpful and friendly to all of us.

On your special day, we wish you a marvelous year ahead with all your dreams come true :) be awesome man

******************************************
Due to SISC, there will be no Maths Soc session this friday, please check the blog regularly for further information.


Also, SMO training is postponed to next Monday(1st June) 3pm. Please be there on time :)

OUR NEW EXCO FOR 2009!

from left to right
Zhao An, Yao Zhi, Linh, Xu Ling, Jiang Yuan, Minh, Yi Xuan, Wen Cong