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primary 6 | Maths
| Data Analysis
3 Answers Below
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How to solve, need to list all of the combinations is it, ????? Don’t understand???
Date Posted: 10 months ago
Views: 190
Very difficult if you think 1 girl by 1 girl.
We work from total hours for girls can use the studio.
2 hour with 5 girls each time, so the total hours spend by 5 girls is 5×2=10hour.
Then average it with 8 girls since all of them spend equal amount of time there.
We work from total hours for girls can use the studio.
2 hour with 5 girls each time, so the total hours spend by 5 girls is 5×2=10hour.
Then average it with 8 girls since all of them spend equal amount of time there.
Suggestion
Step①
U can do the listing for all combinations as the number is not that big
Step②
change the number of girls played in each round from 5
to 6 3 4 2 (8 remain , no change)
Still can list N figure out the answer
Step③
change the total. number of girls from 8
to 7 6 (5 remain , no change)
Still can list N figure out the answer
Step④
Find the pattern from step①~③
Step⑤
Figure out the physical meaning described by AC Lim
Understand it is pretty tedious , but wish you can get the idea from this practice to fully understand this type of questions.
Similar Q in
2017 PSLE
Step①
U can do the listing for all combinations as the number is not that big
Step②
change the number of girls played in each round from 5
to 6 3 4 2 (8 remain , no change)
Still can list N figure out the answer
Step③
change the total. number of girls from 8
to 7 6 (5 remain , no change)
Still can list N figure out the answer
Step④
Find the pattern from step①~③
Step⑤
Figure out the physical meaning described by AC Lim
Understand it is pretty tedious , but wish you can get the idea from this practice to fully understand this type of questions.
Similar Q in
2017 PSLE
You can just think of it as like as though they are playing on computers.
5 computers are available so there are 5 slots.
The computers are always occupied/being used in the 2 hours. We consider time taken for the girls take turns (standing up, letting the next girl take their place) as negligible or zero.
In the same 2 hours, each computer is being played.
Now if we considered the total number of hours played, it is 2 × 5 = 10 hours.
This is as though we count the hours for each computer separately then add them together.
Then divide the total hours equally among 8 girls since each girl has equal playing time.
You don't really need to worry about the order which they take turns or the sequence they play.
The concept here is known as man-hours
5 computers are available so there are 5 slots.
The computers are always occupied/being used in the 2 hours. We consider time taken for the girls take turns (standing up, letting the next girl take their place) as negligible or zero.
In the same 2 hours, each computer is being played.
Now if we considered the total number of hours played, it is 2 × 5 = 10 hours.
This is as though we count the hours for each computer separately then add them together.
Then divide the total hours equally among 8 girls since each girl has equal playing time.
You don't really need to worry about the order which they take turns or the sequence they play.
The concept here is known as man-hours
See 3 Answers
done
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Hope this helps ♦
Date Posted:
10 months ago
I don’t understand, why take 5 girl multiple 2hour, ??? It is mean the first 5girl group dance 1hour15min, then the 2group which is 3girls will dance 45minute, then they are not dancing equally timing??? Right?? If we take 8girl x2hour, then we have 16hour??
Ahh.... Only 5 girls can dance each time, no matter who in rest, 5 girls only dance, so, for 2 hour, only 5×2=10 hours total have girls dance.
done
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Combination explanation for your reference. Hope this helps ♦
Date Posted:
10 months ago
Combination listing.
Every 15 mins change combination. Hope to clear your doubts.
Every 15 mins change combination. Hope to clear your doubts.
done
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Combination with every 5 min change. Hope this helps.♦
Date Posted:
10 months ago
Thank you so much, much clearer now, but the problem is during PSLE exam, which is only last one hour plus only, I don’t think i have enough time to do this method, it time consuming, it will eat up the time to finish other questions to do… thank you so much
Yes. If use combination will kill time.
Likewise, you need to think this way. Only 2 hour at dance studio, each time 5 girls, total spend in studio 5×2=10 hours.
8 girls spend 10 hours.
1 girls spend 10/8= 1.25 hours = 1hr15mins
Likewise, you need to think this way. Only 2 hour at dance studio, each time 5 girls, total spend in studio 5×2=10 hours.
8 girls spend 10 hours.
1 girls spend 10/8= 1.25 hours = 1hr15mins
Yes like AC said, you should think of it like a question on average.
The only part is you need to consider the TOTAL number of hours spent dancing by the girls
The only part is you need to consider the TOTAL number of hours spent dancing by the girls
The intervals that they change isn't really fixed also.
You can also make it like every 1 minute they change and eventually the sequence/order will repeat every 8 minutes.
Everyone will still get 75 minutes of dancing in the end.
You can also make it like every 1 minute they change and eventually the sequence/order will repeat every 8 minutes.
Everyone will still get 75 minutes of dancing in the end.
To understand the concept, may be can start from easy questions.
Example: 4 students book badminton court for 1 hour. Each time 2 students play.
By intuitive, 1st 2 students played ½ hour then next 2 students played another ½ hours.
Each of them played ½ hour
By average...
2 students only play in 1 hour, total hours = 2×1 hour = 2 hours
4 students → 2 hr
1 student → 2/4 = ½ hour.
Example: 4 students book badminton court for 1 hour. Each time 2 students play.
By intuitive, 1st 2 students played ½ hour then next 2 students played another ½ hours.
Each of them played ½ hour
By average...
2 students only play in 1 hour, total hours = 2×1 hour = 2 hours
4 students → 2 hr
1 student → 2/4 = ½ hour.
There is an alternative way to think about this question as well, which is fractions.
I'll give you a simpler example first.
① If there are 2 hours available to to play on 1 computer and there is only 1 girl, this girl can play for the full 2 hours.
②However, if there are 2 girls now and they have to share the time equally, then each girl can only play for ½ the total time.
2 hours × ½ = 1 hour
③ If there are 3 girls now then each girl can only play for ⅓ of the 2 hours.
2 hours × ⅓ = ⅔ hours = 40 minutes.
④If there are 2 computers now but still 3 girls, then ⅔ of the time.
2 hours × ⅔ = 1⅓ hours = 1h 20 min
⑤ If there are 4 computers now but 7 girls, then 4/7 of the time.
So, if there are 5 computers but 8 girls, each girl only gets to play ⅝ of the time.
2 hours × ⅝ = 5/4 hours = 1¼ hours
= 1 hour 15 min
I'll give you a simpler example first.
① If there are 2 hours available to to play on 1 computer and there is only 1 girl, this girl can play for the full 2 hours.
②However, if there are 2 girls now and they have to share the time equally, then each girl can only play for ½ the total time.
2 hours × ½ = 1 hour
③ If there are 3 girls now then each girl can only play for ⅓ of the 2 hours.
2 hours × ⅓ = ⅔ hours = 40 minutes.
④If there are 2 computers now but still 3 girls, then ⅔ of the time.
2 hours × ⅔ = 1⅓ hours = 1h 20 min
⑤ If there are 4 computers now but 7 girls, then 4/7 of the time.
So, if there are 5 computers but 8 girls, each girl only gets to play ⅝ of the time.
2 hours × ⅝ = 5/4 hours = 1¼ hours
= 1 hour 15 min
@J Thanks for your super good examples and explanation. :)
Your explanation and diagram is great as well AC
Thank you so much, all the explaining is good, much clearer, thank you all ( J) and (AC). Thank you so much, thank all of you, clear my doubts
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