Mathematics Challenge!!!!

[akulion]

:salamalaikum:

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

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?

 

[Protected_Diamond]

warhmatulahi wabarakathu

:uhwhat I got no maths skills....

Is the answer 18 :?

Im awful at maths.

warhmatulahi wabarakathu

 

[akulion]

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

 

[Protected_Diamond]

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

 

[akulion]

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?

 

[Protected_Diamond]

warhmatulahi wabarakathu

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

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

warhmatulahi wabarakathu

 

[akulion]

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?

 

[akulion]

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

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Q3
[ 90 - 8( 20/4 ) ] / 1/2 <----(thats 1 over 2)

 

[life]

[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 :?

 

[aakhirah]

[ 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

 

[akulion]

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?

 

[life]

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

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

you sure :rollseyes

2/1 is equal to 2

but ½ is not

 

[aakhirah]

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.

 

[aamirsaab]

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.

 

[akulion]

Yup masha'allah all those who got the answer 3/8 or 3 : 8 got it correct

Solution:

Question asks for: Ratio of Cats : Hampsters

Cats: 9
Hampsters 24

A ratio can be represented in Two ways:

Cats : Hampsters

OR

Cats / Hampsters

Thus the ratio is 9 : 24 OR 9/24

Which can be reduced to

3 : 8 OR 3/8

-------------------------------------------
Ok i know I said I was leaving but masha'Allah everyone is so quick with replies here I was caught as I was leaving but this is the last question for the day and then I go

Q5
In a class the ratio of boys to girls is 5 to 3
If there is a total of 32 students in the class then how many are boy and how many are girls?

 

[aakhirah]

Q5
In a class the ratio of boys to girls is 5 to 3
If there is a total of 32 students in the class then how many are boy and how many are girls?

5 + 3 = 8

32 / 8 = 4

Therefore, number of boys = 5 x 4 = 20.
and number of girls = 3 x 4 = 12.

 

[akulion]

wow masha'allah bro ur a true maths wizard

Ok a new question....(a lil tougher one)

Q6
A class of 40 students is to be divided into smaller groups.
If each group is to contain 3, 4 or 5 people, what is the largest number of groups possible leaving no one out?

 

[aamirsaab]

Q6
A class of 40 students is to be divided into smaller groups.
If each group is to contain 3, 4 or 5 people, what is the largest number of groups possible leaving no one out?

3 goes into 40 twelve times, well actually thirteen but...
..plus one group of 4 will give you 10 groups: 12 groups of 3 = 36 plus one group of 4 = 40.

If we did 3 times by thirteen we would have 39 students and one guy left out - since groups can only be made out of 3, 4 or 5 students, we cannot use this method.

By using a group of 5, this would reduce the total amount of groups - the question asks for the largest, hence the method I explained is justified.

 

[Mainul_Islam]

hey! stop hogging all the fun!

nice thinking bro aamirsaab, i didnt think of 12 groups of 3 + 1 group of 4 = 40

i would have put 40/4=10 if u hadnt answered.

 

[akulion]

masha'Allah bro aamirsaab excellent!
That was a trick question and you got it

Ok now another Question....simple one

Q7
An office has 27 employees. If there are 7 more women then there are men in the office, How many employees are women?