Tutor MathsGuru: Ask me for your burning Maths questions!

[ruyu]

mathsguru:

Dear all...


Just to let you all know tt I'm back... :peekaboo:

:imsorry: My sincere apologies for not being active for the past month. I've taken a 2-week break during the June hols and when I came back, I was busy conducting lessons. :faint:

Finally can catch a breather now since school re-opened! Many thanks to all kind souls who have been helping out here...so many pages to catch up for me!

Hmm...guess I will start solving questions posted from now on instead of trying to catch up with the backlog. Hehe...Hope to seek your understanding!! :please:

Cheers,
MathsGuru

Yeah Mathsguru is back!

[mathsguru]

Ngserene617:

Hi kindly assist me for the below 3 stated questions, thanks.


1. Alex, Bryan and Charles paid for a meal. Alex paid 1/5 of the amount Bryan and Charles paid together. Bryan paid 1/4 of the amount Alex and Charles paid. If the meal cost $205.20, how much did Alex pay ?

2. Terry had $420 more than Sean. Sean gave Terry $72. Now, Sean has 1/7 as much money as Terry. How much money had Terry at first?

3. 3 sisters, Amy, Bonnie and Cindy shared to buy a present for their mother. Amy paid 1/3 of the amount which Bonnie and Cindy paid. Bonnie paid 1/5 of the amount which Amy and Cindy paid. If Cindy paid $30 more than Bonnie, how much did the present cost?

Thanks kindly help me to solve this !

Hi Ngserene617,

Since you have pm-ed me regarding these questions, I'm posting my solutions here for your reference (though they have been solved by other maths experts here).

Hope they can add to your child's understanding!

Cheers,
MathsGuru

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

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

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

[livewith_vanilla]

Here is a question I would like some help in.


Source: School paper
Level: P6

A train traveled through a 6500-metre tunnel at an average speed of 25m/s. The whole train took 4 min 30 s to pass through the tunnel completely.
What is the length of the train?

TIA.

[MOE Hater]

livewith_vanilla:

Here is a question I would like some help in.


Source: School paper
Level: P6

A train traveled through a 6500-metre tunnel at an average speed of 25m/s. The whole train took 4 min 30 s to pass through the tunnel completely.
What is the length of the train?

TIA.

25m/s x 4 min 30 s = 25m/s x 270s = 6750m
6750m - 6500m = 250m

The train is 250m long.

[mathsguru]

livewith_vanilla:

Here is a question I would like some help in.


Source: School paper
Level: P6

A train traveled through a 6500-metre tunnel at an average speed of 25m/s. The whole train took 4 min 30 s to pass through the tunnel completely.
What is the length of the train?

TIA.

Hi livewith_vanilla,

Here's my solution. Hope it helps!


MathsGuru

http://www.postimage.org/image.php?v=gxuHLp0

[livewith_vanilla]

mathsguru:

livewith_vanilla:

Here is a question I would like some help in.


Source: School paper
Level: P6

A train traveled through a 6500-metre tunnel at an average speed of 25m/s. The whole train took 4 min 30 s to pass through the tunnel completely.
What is the length of the train?

TIA.

Hi livewith_vanilla,

Here's my solution. Hope it helps!


MathsGuru

http://www.postimage.org/image.php?v=gxuHLp0

Thanks very much!

Edit: My solution was the same, though I didn't get it. Now i understand.:D

[Almighty]

liketoeat:

Dharma:

[quote=\"liketoeat\"]Hi, please help me solve this question. Thank you.


Candle A and candle B were placed on a table. Candle A was 1.5 cm longer than candle B. Candle A and candle B were lighted at 0630 h and 0800 h respectively. They burnt down to the same length at 1030 h. At 1200 h, candle B was burnt out while A only burnt out at 1230 h. Given that the rate of burning of each candle was constant throughout, find the original length of each candle. (Ans: candle A 13.5 cm; candle B 12 cm)

Time ratio => A : B = 4 : 3
Burning rate ratio => A : B = 3 : 4

Time taken to burn completely
A : 6 hrs (0630hrs to 1230hrs)
B : 4 hrs (0800hrs to 1200hrs)

Length (A ) = 3u x 6 = 18u
Length (B) = 4u x 4 = 16u

18u – 16u = 2u = 1.5cm
Original Length (A) = 18u = 9 x 1.5cm = 13.5cm
Original Length (B) = 16u = 8 x 1.5cm = 12.0cm

Thank you, Dharma.[/quote]Hi Dharma,
Can u pls. explain how u get this step? :?
Time ratio => A : B = 4 : 3

[Maths Monster]

mathsguru:

Dear all...


Just to let you all know tt I'm back... :peekaboo:

:imsorry: My sincere apologies for not being active for the past month. I've taken a 2-week break during the June hols and when I came back, I was busy conducting lessons. :faint:

Finally can catch a breather now since school re-opened! Many thanks to all kind souls who have been helping out here...so many pages to catch up for me!

Hmm...guess I will start solving questions posted from now on instead of trying to catch up with the backlog. Hehe...Hope to seek your understanding!! :please:

Cheers,
MathsGuru

Now that you are back, I will stop posting in your thread. Hope I have help some people here and not be a busy body...anyway, good luck. Cheers, MM

Add - It comes to my notice that when I attached images to some of my previous post, I think some setting are not selected correctly in the \"Add image to post\" option. Hence resulting in unwanted image. I apologize for this. This was never intentional. I have removed all the attachments as best I can. Sorry to all for any inconvenience caused.

[Dharma]

Almighty:

liketoeat:

[quote=\"Dharma\"]
Time ratio => A : B = 4 : 3
Burning rate ratio => A : B = 3 : 4

Time taken to burn completely
A : 6 hrs (0630hrs to 1230hrs)
B : 4 hrs (0800hrs to 1200hrs)

Length (A ) = 3u x 6 = 18u
Length (B) = 4u x 4 = 16u

18u – 16u = 2u = 1.5cm
Original Length (A) = 18u = 9 x 1.5cm = 13.5cm
Original Length (B) = 16u = 8 x 1.5cm = 12.0cm

Thank you, Dharma.

Hi Dharma,
Can u pls. explain how u get this step? :?
Time ratio => A : B = 4 : 3[/quote]Hi Almighty,

At 1030hrs, both candles had the same length.

Candles A takes 2 hrs to burn out ( 1030hrs to 1230hrs ) and candle B takes 1.5 hrs to burn out (1030hrs to 1200hrs).
So, Time ratio => Candle A : Candle B = 2 : 1.5 = 4 : 3

[mathsguru]

Maths Monster:

Now that you are back, I will stop posting in your thread. Hope I have help some people here and not be a busy body...anyway, good luck. Cheers, MM


Add - It comes to my notice that when I attached images to some of my previous post, I think some setting are not selected correctly in the \"Add image to post\" option. Hence resulting in unwanted image. I apologize for this. This was never intentional. I have removed all the attachments as best I can. Sorry to all for any inconvenience caused.

Hey Maths Monster,

Please don't say that! This is not \"my\" thread. It's a learning place for everyone. Your contributions have been priceless (definitely not a busybody!!)! Please do continue to drop by as and when you feel like it and provide your inputs!

As for the attachments, they happen to me and many others too. I'm no IT expert, so my postings are also at the \"mercy\" of the website...haha! I usually choose \"do not resize my image\"...and hopefully it comes out alright.

So, please don't say you're a busybody or that you have caused us any inconvenience...cos u have been nothing but a gem here! Looking forward to seeing you ard here! :please:

Cheers,
MathsGuru