Tutor MathsGuru: Ask me for your burning Maths questions!

[Cheerfuldad]

mathsguru:

Cheerfuldad:

Dear all,


Please help!

Two P5 challenging questions:

Q1 There are an equal number of boys in classes 6A and 6B. 3/4 of the pupils in Class 6A are boys and 1/7 of the pupils in Class 6B are girls. Given that the two classes have a total of 12 girls, how many pupils are there in each class?

Q2 In a theatre, when a boy sits down, the number of boys standing up becomes 4/5 of the number of girls standing up. On the other hand, when a girl sits down, the number of girls standing up become 8/7 of the number of boys standing up. How many boys and girls are there in the theatre?

Look forward to your reply.

TIA

Hi Cheerfuldad,

Here are my solutions. Hope they are clear enough for you and your child to understand!


MathsGuru

http://www.postimage.org/image.php?v=Ts91DYi

http://www.postimage.org/image.php?v=Ts91Gsr

Hi MathsGuru,

Thank you very much! I can use your solutions to share with my child.

Regards
Cheerfuldad

[itro]

Thanks for your detailed info.


The question is from Math Olympiad for P3 and P4, as I mentioned in a followup message. The correct answer from the book indicates inclusion of 12 noon and 11pm. This confuses me and my child as well. I would like to suggest teachers 9especially those who create exam papers) to use something like \"from 12 noon to 11pm\" if the markers or boundaries are expected to be included.

mathsguru:

itro:

Hi,

I have a question on understanding \"between\" when it is used in Math questions. Sometimes, \"between An and B\" does not include A and B, but sometimes it does. When we say a number between 10 an 20, the number should not be 10 nor 20. Could you please advise whether I should include 12 noon and 11 o'clock at night when solving the following problem and why?

The grandfather's clock chimes once when it is 1 o'clock, chimes twice when it is 2 o'clock, chimes thrice when it is 3 o'clock and so forth. How many times will it chime between 12 noon and 11 o'clock at night?

Hi Itro,

In the above question, I would take it to exclude 12 noon and 11pm. So, actually, the question is asking for 1 + 2 + 3 + 4 + 5 + ... + 9 + 10.
It's testing students the summation of numbers. Answer should be 55 times.

I guess when the word \"between\" is used, we have to \"analyse\" and see if it's used figuratively or literally.

Figuratively when it's used to describe a scenario. For instance, share 100 marbles between A & B. A task is shared between 2 workers. In such cases, we usually divide the total by 2 (or according to how they portion the items/task). The word \"between\" is used for 2 people/items while the word \"among\" is used for more than 2 people/items.

Literally when it's used to indicate the no. of things/distance/intervals/etc between 2 objects/places/persons/markers/etc. Basically, we can \"literally\" count the no. of things/distance/intervals/etc which exist or are placed between the 2 objects/places/persons/markers/etc. Hence, it makes sense for us to not include the 2 objects/places/persons/markers/etc, unless the question specifically mentions so.

In the above question, it is the \"literal\" interpretation --> the no. of chimes between 12 noon and 11pm. 12 noon and 11 pm are used as markers and they should not be included.

As for Coffeecat's suggestion to include the chimes of 12 noon (which will logically still take place seconds after 12 noon), I think we can interpret it simply. This is because the question did not mention how long each chime will take, so I don't think the question is expecting us to go so deep into that level.

Just my 2 cent's worth based on my experience so far...


MathsGuru

[clblinym]

Dear all,


Please help!

Find the value of 64X46+73X37+82X28

Is there any special technique to solve this math problem?

Thanks a lot.

[super star]

thanks maths guru.

mathsguru:

super star:

Hi Mathsguru

thanks for ur help.I have another problem pls help to solve this
Aurdrey & belle have some money each.If audrey spends $18 &belle spends $24 each day,audrey will still have $25 left when belle has spent all her money.If audrey spends $13 &bellespends $30each day,audrey will have $139 left when belle has spent all her money.How much money do they have altoghter?

Hi Superstar,

Here's my solution. Very sorry for the delay!


MathsGuru

http://www.postimage.org/image.php?v=PqGGeoS

[super star]

thanks dharma.

Dharma:

super star:

Hi Mathsguru

thanks for ur help.I have another problem pls help to solve this
Aurdrey & belle have some money each.If audrey spends $18 &belle spends $24 each day,audrey will still have $25 left when belle has spent all her money.If audrey spends $13 &bellespends $30each day,audrey will have $139 left when belle has spent all her money.How much money do they have altoghter?

If Audrey spends $18/day and Belle spends $24/day in M days ;

Amt they had at first
Audrey : $25 + $18M
Belle : $24M

If Audrey spends $13/day and Belle spends $30/day in N days ;

Amt they had at first
Audrey : $139 + $13N
Belle : $30N

24M = 30N
4M = 5N

25 + 18M = 139 + 13N
50 + 36M = 278 + 26N
50 + 45N = 278 + 26N
19N = 228
N = 12days

Amt of money altogether = $139 + $43(12) = $655

[super star]

pls help me in solving this problem

Mr.Ong had 5kg rice.after he sold 5/12 of it ,he repacked the remaining rice into smaller packets of 2/3 kg each.how much rice had he left?

[Dharma]

clblinym:

Dear all,


Please help!

Find the value of 64X46+73X37+82X28

Is there any special technique to solve this math problem?

Thanks a lot.

http://www.postimage.org/image.php?v=TsewjYA

[firebird]

Dear Maths guru


Good morning

Usually i could slove P6 angles questions. But this question i came by, is difficult.

I am unable to upload the image as my scanned image is in PDF format.

Thus i try here to explain the diagram in words. If you are able to follow my illustration, kindly post the solution. The question:

ABCD is a parallelogram. Line AB is on top and line DC is bellow. AB is parallel to DC and AD is parallel to BC. There is a point E inside the parallelogram. This point E is in between and nearer to D and C. AE is equal to DE. Therefore triangle AED is an isosceles triangle. Given Angle ADE is 48 degrees and angle AEB is 62 degrees. The question is find angle EBC.

Please help. I uncertain after about 2 hours of trying.

Thank you
Firebird

[elkniwt]

firebird:

ABCD is a parallelogram. Line AB is on top and line DC is bellow. AB is parallel to DC and AD is parallel to BC. There is a point E inside the parallelogram. This point E is in between and nearer to D and C. AE is equal to DE. Therefore triangle AED is an isosceles triangle. Given Angle ADE is 48 degrees and angle AEB is 62 degrees. The question is find angle EBC.


Please help. I uncertain after about 2 hours of trying.

Thank you
Firebird

Hi Firebird,

Try to draw a line parallel to AD (and BC) through the point E. Extend this line all the way such that it cuts line AB at F.

Angle FEA = 48 deg (alternate angles)
Angle FEB = 62 - 48 = 14 deg
Angle EBC = Angle FEB = 14 deg (alternate angles)

Regards.

[firebird]

Dear elkniwt


Good morning.

Many many many and a lot of thanks.

With best regards
Firebird