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#1 2014-06-15 02:27:44

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Need Help with Math Question

I recently received 100 "out of the world maths question" from somebody, I complete them but stuck with a few, so help will be great, also explanation on how you did it please.

Q1) A student wrote down the following sequence of numbers : the first number is 1, the second number is 2, and after that, each number is obtained by adding together all previous numbers. Determine the 12th number in the sequence.
A1) My answer is 1536, I did it bu writing it all on a piece of paper by adding them all up, there is a better way to do it right?

Q2) Adam has £2010 in his bank account. He donates £10 to charity every day. His first donation is on Monday. On what day will he donate his last £10?
A2) My answer is Monday, I did it by drawing it all up. I'm sure there is a better way to do it? Please show me how.

Q3) A circle and a square overlap such that the overlapping area is 50% of the area of the circle, and is 25% of the area of the square. Find the ratio of the area of the square outside the circle to the area of the whole figure.
A3) I have no idea about his one, please show me how you did it.

Q4) Find the number of different pairs of positive integers (a,b) for which

and

A4) I do not understand please show me how you did it.

Q5) There positive integers a,b and c are given such that


Find the value of a,b and c.
A5) I do not understand at all.

Q6) Find the number of positive integers less than 500, which is not divisible by 5 or 7.
A6) I know how to do this all on a big piece of paper, but there is a easier way? Please show me how.

Q7) Find the smallest positive integers n such that every digit of n is either 0 or 7, and n is divisible by 15.
A7) Again, I could do that on a big piece of paper, but please show me a easier way to do it.

Q8) Let n and k be two positive integers such that k is less than n. It is known that (1+2+3+4+...+n) + k = 101. Find k.
A8) I do not know how to do this.

Q9)Find the last digit of :


A9) This one got to do with mod?

That's all, thanks everyone. p.s I need help with modifying it... Like the way I do it with a few more answers, I might post it later.
EDIT*** Can someone show me the worked method?

Last edited by David (2014-06-15 23:34:43)


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#2 2014-06-15 02:30:57

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

Re: Need Help with Math Question

Hi chooipian

For Q1, you can just write out all the numbers.


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#3 2014-06-15 02:31:51

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

Oh.. Okay, but for the rest?


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#4 2014-06-15 02:35:36

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

Re: Need Help with Math Question

Hm, it seems that's how you did it. Didn't see that there were your answers beneath the questions. I'll look at Q2.


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#5 2014-06-15 02:40:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Need Help with Math Question

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6 2014-06-15 02:45:17

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

Hi,


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#7 2014-06-15 02:49:41

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

Re: Need Help with Math Question

Hi chooipian

Last edited by anonimnystefy (2014-06-15 02:52:14)


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#8 2014-06-15 02:51:55

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Need Help with Math Question

These questions seem familiar...

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#9 2014-06-15 02:53:58

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

You saw it before?
btw, How to find the area of a circle when an equilateral triangle with sides 2 units is inscribed in the circle? It's not Heron's Formula?


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#10 2014-06-15 02:56:43

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Need Help with Math Question

Have you copied the all questions correctly?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#11 2014-06-15 02:57:03

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

Yes.


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#12 2014-06-15 02:58:38

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Need Help with Math Question

These are from the Malaysian National Olympiad! I remember doing these!

http://www.artofproblemsolving.com/Foru … &year=2010

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#13 2014-06-15 02:59:42

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

I told you it's out of this world...


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#14 2014-06-15 03:01:00

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

ShivamS wrote:

These are from the Malaysian National Olympiad! I remember doing these!

http://www.artofproblemsolving.com/Foru … &year=2010

I have no idea, I got it from a Senior... That's where it's from -_- When did you did that? Mind teaching me?

Last edited by David (2014-06-15 03:02:23)


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#15 2014-06-15 03:02:33

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Need Help with Math Question

aops.com has a lot of past contest and Olympiad papers available online so I searched it there.

I don't really remember when I did this, probably a few years back (I recognized a problem from it).

Last edited by ShivamS (2014-06-15 03:03:06)

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#16 2014-06-15 03:07:07

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

Looked at them, but I have a lot that are not in it!...


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#17 2014-06-15 03:13:33

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

Opps sorry bobbym, I edited question 4.


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#18 2014-06-15 03:16:14

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

For now, I think I'll go to rest first. I have school tomorrow morning, I will get back to this when school is over tomorrow.


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#19 2014-06-15 03:16:43

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Need Help with Math Question

Hi;

I knew you had a mistake there if you wanted an answer less than infinity.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#20 2014-06-15 03:16:54

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Need Help with Math Question

Good night.

I'll work on them now.

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#21 2014-06-15 03:18:25

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Need Help with Math Question

Have a good night.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#22 2014-06-15 03:21:37

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

Good night, good evening or good morning to you all too.


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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#23 2014-06-15 03:26:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Need Help with Math Question

You are supposed to say "Good night Mrs. Calabash wherever you are."


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#24 2014-06-15 04:13:56

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,593

Re: Need Help with Math Question

Hi chooipian,

Thanks for those puzzles...I've enjoyed doing them. smile

These are the ones I could do...with explanations (though not always fully or step-by-step). Q4 and Q5 have got me beat for now.







Last edited by phrontister (2014-06-16 10:26:14)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#25 2014-06-15 23:59:26

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,135

Re: Need Help with Math Question

bobbym wrote:

You are supposed to say "Good night Mrs. Calabash wherever you are."

Who is Mrs. Calabash? Good Morning Mrs. Calabash wherever you are. And Good Morning to everyone else too!

Last edited by David (2014-06-16 00:06:11)


Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

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