View Full Version : Please try these questions and test yourself
Pensive
05-10-2006, 12:34 PM
Question 1: Steven left Town A and walked towards Town B at a speed of 100 m/min. At the same time Jason and Melvin started from Town B and walk towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B?
Question 2: Find the area, in square centimetres of a rectangular strip of board 3.8 m long and 75 mm wide.
Question 3: As many 8-cm diameter discs as possible are cut from a sheet of rectangular cardboard measuring 170 cm by 90 cm. Find the area of the sheet that if left?
~ I will love to hear what answers you got! Even if you are unable to solve these questions, please give a response. It will mean that other people were not able to do these questions like me. :D And if you are able to do it, it means that I have a very poor brain.
Virgil, Papaya and others who have specially read Mathematics and are reading it, I will love to hear especially from you. Tell us your answers and you can show us the solution as well if possible. :D
Thanks, I just found it interesting to share these questions with all of you.
SleepyWitch
05-10-2006, 12:44 PM
SleepyWitch hates maths.. she's even too impatient to read the questions properly... but here's another good one:
one and a half chickens lay one and a half eggs in one and a half days. how many eggs do you get from 4 (whole) chickens in 9 days? er right... i've managed to figure it out, but I'll have to look up the solution again, so take your time
smilingtearz
05-10-2006, 12:47 PM
100 -75 no wait.. um... 3.8*75 ... *trying to calculate*
urgh! i quit!!
Virgil
05-10-2006, 12:49 PM
Question 1: Steven left Town A and walked towards Town B at a speed of 100 m/min. At the same time Jason and Melvin started from Town B and walk towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B?
Question 2: Find the area, in square centimetres of a rectangular strip of board 3.8 m long and 75 mm wide.
Question 3: As many 8-cm diameter discs as possible are cut from a sheet of rectangular cardboard measuring 170 cm by 90 cm. Find the area of the sheet that if left?
~ I will love to hear what answers you got! Even if you are unable to solve these questions, please give a response. It will mean that other people were not able to do these questions like me. :D And if you are able to do it, it means that I have a very poor brain.
Virgil, Papaya and others who have specially read Mathematics and are reading it, I will love to hear especially from you. Tell us your answers and you can show us the solution as well if possible. :D
Thanks, I just found it interesting to share these questions with all of you.
I don't have time right now at work, Pensy. I'll do it tonight when I get home.
Helga
05-10-2006, 12:55 PM
I tried it but couldn't figure it out.... I took an IQ test two years ago and the professional who went over it told me that I'm 'blind' on math, it's similar to confuse letters, but I confuse numbers... this would be the reason why I have been failing in math every year since I was 13....
At least I tried... that has to 'count' for something....
Boris239
05-10-2006, 01:00 PM
Q1
it is 37800 m
let's assume that time be4 Steven met jason is t
so 100t+80t=x where x is the distance
180t=x
at the same time Melvin passed 75t
So the second equation is 100(t+6)+75(t+6)=x
175t+1050=x=180t
5t=1050
t=210 so x=180*210=37800
Boris239
05-10-2006, 01:04 PM
Q2: 3.8 m=380 cm
75 mm=7.5 cm
Area=380 *7.5=2850 cm^2
ShoutGrace
05-10-2006, 01:05 PM
At least I tried... that has to 'count' for something....
:lol: :lol: :lol:
Pensive
05-10-2006, 01:09 PM
Thanks everyone!
Witch, I can't even answer this one. It is night here and I am getting sleepy. (Where is Night by the way?)
Thanks Helga for trying. Virgil, I will look forward to it. I hope that you are doing well!
Boris239
05-10-2006, 01:10 PM
For Q3 I'm not sure but I think that we can cut 21*11=231 discs. There area is 231*pi*16=3696*pi
So the area left is 170*90-3696*pi=15300-3696*pi
Pensive
05-10-2006, 01:14 PM
Q1
it is 37800 m
let's assume that time be4 Steven met jason is t
so 100t+80t=x where x is the distance
180t=x
at the same time Melvin passed 75t
So the second equation is 100(t+6)+75(t+6)=x
175t+1050=x=180t
5t=1050
t=210 so x=180*210=37800
Oh yeah, that's very right. :thumbs_up
*am not sure about the other one*
Pensive
05-10-2006, 01:15 PM
Boris, Is Math one of your major subjects?
Boris239
05-10-2006, 01:18 PM
Here is a good one:
two old friends are meeting:
1: I have 3 children
2: How old are they?
1: The product of their ages is 36
2: It's not enough info
1: The sum of their ages is the number of windows in the nearby house:
2: Still not enough info:
1: My eldest is redhead
2: Oh, now I know
How old are the children?
Boris239
05-10-2006, 01:20 PM
Boris, Is Math one of your major subjects?
Yes, I'm doing my Masters in it now
My 100th post :banana:
Pensive
05-10-2006, 02:11 PM
Congratulations on your 100th post, Boris!
ClaesGefvenberg
05-10-2006, 02:19 PM
Hey, this is fun :D
For Q3 I'm not sure but I think that we can cut 21*11=231 discs. How about 20*6 + 21*6=246 discs? If you move every second row vertically and let the discs slide sideways you will gain an extra row while losing one disc from the moved rows. This would give you 246*pi*16=12365 cm2 of disc area. So: 15300-12365= 2934 cm2.
Do I get a cigar?
/Claes
Pensive
05-10-2006, 02:29 PM
I don't know the answers of other questions by myself yet.
papayahed
05-10-2006, 02:47 PM
Darn it Pen!!!!!!! Now I have to try these out - my boss isn't going to like that!!
Mililalil XXIV
05-10-2006, 03:08 PM
If there are only half as many good Marriages as there are people in them, and some people are celibate, how many people are not in good Marriages?
If I'm a Mister, and you're a Mister, and all good people are Misters, how many people are good?
Does Pensive have the mathematical formulae for these good questions?
papayahed
05-10-2006, 04:25 PM
Hey Boris, I got something different for the first one: The time it Jason and Melvin to be 600m apart is 120 minutes. In 120 minutes Steve has walked 12000m and Jason has walked 9600 m which will equal 21600m when they meet.
Question 2: 2850 cm^2
Question 3: Still thinking, so far I have 3750cm^2 but I just read CJ's.
Boris239
05-10-2006, 04:48 PM
papayhead, why there should be 600m between Jason and Melvin, when Jasom and Melvin meet?
I checked my answer it fits
t=210 Steve is 210*100=21000 from A
Jason is 210*80=16800 from B
Melvin is 210*75=15750 from B
So there are 1050 m between melvin and Steve. Their speed of approaching is 100=75=175
So it will take them 1050/175=6 m to meet
Boris239
05-10-2006, 04:52 PM
If there are only half as many good Marriages as there are people in them, and some people are celibate, how many people are not in good Marriages?
If I'm a Mister, and you're a Mister, and all good people are Misters, how many people are good?
Does Pensive have the mathematical formulae for these good questions?
The answer to the first question is thera are no people not in good marriages
The second problem doesn't have a solution- it is impossible to say how many people are good
papayahed
05-10-2006, 05:27 PM
Jason and Melvin don't meet.
Boris239
05-10-2006, 05:30 PM
Jason and Melvin don't meet.
I know. So?
papayahed
05-10-2006, 05:34 PM
oh duh. If it takes Steve six minutes to meet Melvin after he passed Jason wouldn't that be 600m that Steve has walked since his pace is 100m/min.
Boris239
05-10-2006, 06:11 PM
But Melvin was alo walking at that time and passed 6*75=450 m, so the distance is not 600 but 600+450=1050
papayahed
05-11-2006, 09:29 AM
Yeah, somehow that little part feel out of my equation. I did say I was getting dumber.
Boris239
05-11-2006, 10:40 AM
I do really stupid mistakes regularly, but because recently I started tutoring kids for SAT math the number of these mistakes diminished greatly( at least in elementary algebra)
AimusSage
05-11-2006, 11:49 AM
That's the good thing about teaching, you learn so much from it. Not that I am a teacher, but that's why I know so little. :)
ClaesGefvenberg
05-11-2006, 03:58 PM
To illustrate what I tried to describe in words: If you stack the discs like the bottles in this picure you can cram 246 of them in...
/Claes
Boris239
05-11-2006, 04:06 PM
Yes, it seems that you are right. what about this one:
two old friends are meeting:
1: I have 3 children
2: How old are they?
1: The product of their ages is 36
2: It's not enough info
1: The sum of their ages is the number of windows in the nearby house:
2: Still not enough info:
1: My eldest is redhead
2: Oh, now I know
How old are the children?
formality hater
06-05-2006, 04:56 PM
[QUOTE=Pensive]Question 1: Steven left Town A and walked towards Town B at a speed of 100 m/min. At the same time Jason and Melvin started from Town B and walk towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B?
Question 2: Find the area, in square centimetres of a rectangular strip of board 3.8 m long and 75 mm wide.
Question 3: As many 8-cm diameter discs as possible are cut from a sheet of rectangular cardboard measuring 170 cm by 90 cm. Find the area of the sheet that if left?
For Q1 graphical solution is more helpful but I can give you the answers of Q2 and 3.Here you go,
Q2:Area=L*w
=3.8*75/1000(converting 75mm to SI unit-m)
=3.8*0.075
=0.285m2
Q3:Area of the discs=pi*radius(square)
=3.14*(8/2)square
=3.14*16
=50.24cm2
Are of rectangular sheet=170*90
=15300cm
Area of the sheet left=15300-50.24
=15249.76cm2
I think they are correct. :banana:
Pensive
06-05-2006, 04:59 PM
Thanks FH (short of formality-hater)
Oh yeah, these should be correct by the procedure.
bazarov
06-06-2006, 03:18 AM
I agree with Boris, it's definitly 37 800m distance.
S=100 m/min
J=80 m/min
M=75m/min
(1) S and J ... 100*y(from A)+80*y(from B)=z
(2) S and M... 100*y(from A)+100m/min*6min + 75*y(from B)75m/min*6min=z
so, (1)=(2) and then it equals
5*y=1050, y=210
100*210+80*210=37 800
Children ages, is it a joke or what?? Can two of them be same ages, and why is so important that one is redhead?
vrianto3
06-06-2006, 03:34 AM
Question 1: Steven left Town A and walked towards Town B at a speed of 100 m/min. At the same time Jason and Melvin started from Town B and walk towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B?
Question 2: Find the area, in square centimetres of a rectangular strip of board 3.8 m long and 75 mm wide.
Question 3: As many 8-cm diameter discs as possible are cut from a sheet of rectangular cardboard measuring 170 cm by 90 cm. Find the area of the sheet that if left?
~ I will love to hear what answers you got! Even if you are unable to solve these questions, please give a response. It will mean that other people were not able to do these questions like me. :D And if you are able to do it, it means that I have a very poor brain.
Virgil, Papaya and others who have specially read Mathematics and are reading it, I will love to hear especially from you. Tell us your answers and you can show us the solution as well if possible. :D
Thanks, I just found it interesting to share these questions with all of you.
When I was still in high school, I had solved math problems similar to these three within minutes - only using pencil and paper. Now that I have passed 'higher education' and actually work in the real world equipped with sophisticated computers, you'd think I should solve those within seconds.
[long sigh]
There must be something wrong with my computer ;)
"He who replies to words of Doubt, Doth put the Light of Knowledge out"
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