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akulion
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Exclamation Mathematics Challenge!!!! - 03-10-2006

:salamalaikum:

Here it is - the ultimate test of your mathematics skills!!!

How it works

- I will post a maths question daily

- Members will try and solve it giving their working and answers

- I will post the answer the next day OR someone gets the correct answer & working OR after 4 people have tried to work the question (whichever comes first), if I am offline, then the new question will be posted the next day.

- There are no 'rewards' or 'prizes' but its just for fun and learning some maths along the way too

Rules:

1 - Use of calculators is strictly prohibited! (you can cheat and use one, but remember if you cant be fair even alone then how can you expect to be fair to others?)

2 - ALL working MUST be shown, this is not just about getting the right answer, but its also to see if the person knows how to work the problem and most importantly others can learn how to solve problems using the examples of solved questions.

================================================== ===========

So here is the first Question: (a simple one to start hehe )

Q1)
A train passes an average of 3 stations every 10 minutes.
At this rate, how many stations will it pass in one hour?
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Protected_Diamond
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Default Re: Mathematics Challenge!!!! - 03-10-2006

warhmatulahi wabarakathu

I got no maths skills....

Is the answer 18

Im awful at maths.

warhmatulahi wabarakathu
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akulion
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Default Re: Mathematics Challenge!!!! - 03-10-2006

You have to show your working sis....this way we can all learn to solve maths problems along the way....

Guesses cant be allowed since no one really gets to see how the person got to their answer...

An example of working:

Q: What is twice of 4 ?

Working:

Twice of 4 is: 4 x 2 = 8
Answer: 8
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Default Re: Mathematics Challenge!!!! - 03-10-2006

warhmatulahi wabarakathu

Sorry Akhee, i skipped rule no. 2 out. Okay here goes;

A train passes an average of 3 stations every 10 minutes.
At this rate, how many stations will it pass in one hour?

1 hour = 60 mins.

10 mins. X 3 = 3 stations

60 mins. X 3 = 18 stations

warhmatulahi wabarakathu
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akulion
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Default Re: Mathematics Challenge!!!! - 03-10-2006

Yaaa good work sis

Complete working of the Question is:

1 hour has 60 minutes

And if the train passes 3 stations every 10 minutes

Therefore : 3 x (60/10) = 18

============================================

Next Question:

Q2
During a certan week, a post office sold $280 worth of 14-cent stamps.
How many of these stamps did they sell?

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Default Re: Mathematics Challenge!!!! - 03-10-2006

warhmatulahi wabarakathu

Phew!! I thought i was going to embarass myself by getting it wrong.

I'll leave Q2 to someone who's good at maths insha Allah.

warhmatulahi wabarakathu
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Default Re: Mathematics Challenge!!!! - 03-10-2006

Next Question still stands:

Q2
During a certan week, a post office sold $280 worth of 14-cent stamps.
How many of these stamps did they sell?
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Default Re: Mathematics Challenge!!!! - 03-10-2006

$280 = 28,000 cents.

# of stamps sold = 28,000 / 14 = 2,000
   
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akulion
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Default Re: Mathematics Challenge!!!! - 03-10-2006

Beautifully done bro!!
Masha'Allah

Solution:

$1 contains 100 cents
Thus $280 contain: 280 x 100 = 28000
Number of stamps sold: 28000 / 14 = 2000
Answer: 2000

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

Q3
[ 90 - 8( 20/4 ) ] / 1/2
<----(thats 1 over 2)
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Default Re: Mathematics Challenge!!!! - 03-10-2006

[90-8(20/4)]/1/2

[90-(8*20/4]/1/2
[90-(160/4]/1/2
[90-40]/1/2
50/1/2
50*2/1
=200

is it correct
   
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Default Re: Mathematics Challenge!!!! - 03-10-2006

[ 90 - 8( 20/4 ) ] / 1/2

= [ 90 - 8( 20/4 ) ] x 2 // dividing by half is the same as multiplying by 2

= [ 90 - 8( 5 ) ] x 2 // 20 divide by 4 = 5

= [ 90 - 40 ] x 2 // 8( 5 ) = 8 x 5 = 40

= [ 50 ] x 2 // 90 - 40 = 50

= 100 // 50 x 2 = 100
   
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akulion
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Default Re: Mathematics Challenge!!!! - 03-10-2006

Bro aakhira got it corect masha'Allah

Solution:
[ 90 - 8( 20/4 ) ] / 1/2

= [ 90 - 8(5) ] / 1/2

= [ 90 - (40) ] / 1/2

= [ 50 ] / 1/2

When a number is divided by a fraction, we multiply that number with the reciprocal of that fraction (e.g. reciprocal of 1/2 is 2/1)

= [ 50 ] x 2

Answer = 100

Other examples of reciprocals are:
Reciprocal of 2/3 is 3/2
Reciprocal of 5 is 1/5

Please note that the above question could only have been solved following the law of BODMAS = Brackets, Off, Division, Multiplication, Addition, Substraction)
If we try and solve it another way the answer would be wrong.

Now one final Question for the day...then I have to run to my classes lol

Q4
In a certain pet store there are 24 hampsters and 9 cats.
What is the ratio of cats to hampsters at this store?

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Default Re: Mathematics Challenge!!!! - 03-10-2006

Quote:
Originally Posted by aakhirah View Post
[ 90 - 8( 20/4 ) ] / 1/2

= [ 90 - 8( 20/4 ) ] x 2 // dividing by half is the same as multiplying by 2
you sure

2/1 is equal to 2

but ½ is not
   
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Default Re: Mathematics Challenge!!!! - 03-10-2006

Quote:
Originally Posted by akulion View Post
b]Q4
In a certain pet store there are 24 hampsters and 9 cats.
What is the ratio of cats to hampsters at this store?
[/b]
Greatest common factor = 3.

24/3 = 8
9/3 = 3

Therefore, ratio of cats to hamsters is 3:8.

Last edited by aakhirah; 03-10-2006 at 02:45 PM.
   
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Default Re: Mathematics Challenge!!!! - 03-10-2006


Quote:
Originally Posted by akulion View Post
Q4
In a certain pet store there are 24 hampsters and 9 cats.
What is the ratio of cats to hampsters at this store?

Here cometh the pain..eth

cats to hampsters: 9:24
Can be reduced to 3:8 (divide both 9 and 24 by 3)
therefore, the ratio is 3 cats to 8 hampsters - for every 3 cats there are 8 hampsters.
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