Q&A - PSLE Math

[kyp71]

Hi, please try to explain n solve this question using model asap (TIA :rahrah: )


Jug X and Jug Y contain different amounts of water at first. 50% of the water in Jug X was poured into Jug Y. Then 40% of the water in Jug Y was poured into Jug X. The final ratio of the amount of water in Jug X to the amount of water in Jug Y was 7:6.

(a) What was the ratio of the amount of water in Jug X to the amount of water in Jug X to the amount of water in Jug Y at first?

(b) If there were 10 litres of water in Jug X at first, how much water was there in Jug X at the end?

[kyp71]

[quote]hi, I did the question n my answer is 60 steps. :imcool: [/quote]

small:

Need a clarification on this question and TIA.


Question:
Alan is trying to catch up with his sister who is 24m in front of him. For every 60-cm step made by Alan, his sister makes only 20-cm step. How many steps does Alan need to make to overtake his sister?

60 steps or 61-steps?

[small]

kyp71:

Hi, please try to explain n solve this question using model asap (TIA :rahrah: )


Jug X and Jug Y contain different amounts of water at first. 50% of the water in Jug X was poured into Jug Y. Then 40% of the water in Jug Y was poured into Jug X. The final ratio of the amount of water in Jug X to the amount of water in Jug Y was 7:6.

(a) What was the ratio of the amount of water in Jug X to the amount of water in Jug X to the amount of water in Jug Y at first?

(b) If there were 10 litres of water in Jug X at first, how much water was there in Jug X at the end?

Hi kyp71,

using ratio method will be more appropriate

(a) In the end, ratio of water in Jug X to Jug Y ----- 7 : 6

Working backwards
X : Y
7 : 6 (at end)
3 : 10
6 : 7 (at first)

The ratio of water in Jug X to Jug Y at first ----- 6 : 7

Explanation:
In the end, ratio of water in Jug X to Jug Y ----- 7 : 6

Before 40% of the water in Jug Y was poured into Jug X, Jug Y will have 10 units of water, so the ratio of water in Jug X to Jug Y now is 3 : 10

This was after 50% of the water in Jug X was poured into Jug Y, so before that Jug X have 6units (3u x 2) of water, thus the amount of water in Jug Y at first is 7 units


(b) I am sure you will be able to solve it.

[Mr OK]

cimman:

Mr OK:

Hi MathIzzzFun, thank you very much for helping me with the 3 questions I posted yesterday. After reading some earlier posts, I understand that there are numerous methods to solve any problem sum. So other than model drawing, is there any other method for these 3 questions that u could share. Thanks once again.

Hi Mr OK
if you're open to using algebra, I conduct workshops to solve complex problem sums using algebra. The problem with using algebra, is that it is difficult to formulate the equations. I've developed a technique to visualize the equations graphically, so that it is easy to formulate the equations. It's a fusion of modelling and algebra. Modelling meets Algebra. I call it Pictorial Algebra.
The equations that comes out using this technique is also simpler than using traditional methods of translating words to equations. It's a step by step methodical process that leads one to the final solution.
The workshop is free. You can view the details here: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=43&t=32278

This technique is very suitable for parents as they're already well versed in using algebra and are able to grasp the technique very quickly as compared to modelling. Quite a number of parents have used this method and have found it to be effective.
The 3 problems you've posted can be solved using this technique.

If you're interested, just indicate your interest in the Happening thread and I'll notify you when the next workshop is available. The workshop also gives you the strategies to identify different problem types.

Thank you MathIzzzFun for ur further explanation on the alternative methods to solve the problems.

Also really appreciate cimman for your kind advice. Actual fact, I've taught my ds solve 2 problems using algebra before, his teacher marked them correct but the teacher asked him to copy her method, & was told to use her method for similar questions in future.

I guess I need to spend many hrs or even days to go thru the many posts here, kudos to all the helpful parents here, really really appreciate.

[kklau]

Hi,


Re-post and I would be very much appreciate that anyone could help to provide solution to this P6 maths question.

The diagram below 2 quadrants and a circle in a square of edge 10cm. Find the area of the shaded region (Take π = 3.14)

http://i47.tinypic.com/10fv18n.png\">

Thank you.

Best Regards.

[homeworkmummy]

HI, need help on this Qn. 2011 St Nicks paper. Appreciate if someone could let me how to solve using model method.


Polly, Queenie and Remmy were given an equal number of charity tickets to sell. However, none of them completed selling their share of tickets. Polly sold 6 times as many tickets as Queenie and was left with 12 unsold tickets. 1/3 of the tickets sold by Remmy was 3 more than those sold by Queenie. The three of them sold a total of 239 tickets. How many charity tickets did each of them receive?

[Michaelia0816]

elenatay:

Michaelia0816:

and also welcome elenatay to here!

Hi Michaelia0816,
Many thanks for the help. I have been searching the pages for a similar posting but gave up after browsing through many pages!

Oh, you may search google, just type some of the keywords of the question and it will show you the pages!

[Michaelia0816]

homeworkmummy:

HI, need help on this Qn. 2011 St Nicks paper. Appreciate if someone could let me how to solve using model method.


Polly, Queenie and Remmy were given an equal number of charity tickets to sell. However, none of them completed selling their share of tickets. Polly sold 6 times as many tickets as Queenie and was left with 12 unsold tickets. 1/3 of the tickets sold by Remmy was 3 more than those sold by Queenie. The three of them sold a total of 239 tickets. How many charity tickets did each of them receive?

Queenie-Q
Polly- P
Remmy-R
Polly was given a 6Q and 12 ticket.
6Q= 1P
1/3R= Q+3
R= 3Q+9
P+Q+R=239
Q ]
R ]]]+9
P ]]]]]]+12
Looking at the model, you should knew what to do
I helps you with the confusing part,
26-3=23
1u----23
6u----138
138+12=150

So the final answer is 150.

[Essential]

Hi need help in this question . Eliza usually jogs at an average speed of 100/min and takes 24 minutes to reach the park. If she jobs at 20m/ mim slower than her usual speed. How much longer will she take to reach the park?

[tianzhu]

kklau:

Hi,


Re-post and I would be very much appreciate that anyone could help to provide solution to this P6 maths question.

The diagram below 2 quadrants and a circle in a square of edge 10cm. Find the area of the shaded region (Take π = 3.14)

http://i47.tinypic.com/10fv18n.png\">

Thank you.

Best Regards.

Hi

Could you share where is your question from?

I've seen one similar question some years ago, but the shaded areas differs slightly.

Best wishes

http://farm8.staticflickr.com/7089/7152307519_7fa3e70673_z.jpg\">