Q&A - PSLE Math

[2DMommy]

Thank you mrswongtuition for the clear explanation.


Needed help again for these two questions.

1)2/5 of Raju’s money is equal to 1½ of Carls’ money. When Raju spent $450 and Carl received $120, the ratio of Raju’s money to Carl’s money became 5 : 2. How much money did Raju have at first ?\t\t\t\t\t\t\t\t\t
2) Mr Smith had 1.5 l of white paint in Tin A and 1.25 l of red paint in Tin B. He poured 750 ml of red paint from Tin B into Tin A. Then he poured some of the mixture in Tin A back into Tin B.\t If 7/11 of the final mixture in Tin B was made up of red paint, what was the volume of the mixture in Tin A that Mr Smith had poured into Tin B ?\t

Thank you !

[MathIzzzFun]

2DMommy:

Thank you mrswongtuition for the clear explanation.


Needed help again for these two questions.

1)2/5 of Raju's money is equal to 1½ of Carls' money. When Raju spent $450 and Carl received $120, the ratio of Raju's money to Carl's money became 5 : 2. How much money did Raju have at first ?\t\t\t\t\t\t\t\t\t
2) Mr Smith had 1.5 l of white paint in Tin A and 1.25 l of red paint in Tin B. He poured 750 ml of red paint from Tin B into Tin A. Then he poured some of the mixture in Tin A back into Tin B.\t If 7/11 of the final mixture in Tin B was made up of red paint, what was the volume of the mixture in Tin A that Mr Smith had poured into Tin B ?\t

Thank you !

Hi
1)
2/5 of Raju’s money = 3/2 of Carl’s money
--> 6/15 of Raju’s money = 6/4 of Carl’s money

So, at first:
Raju’s money --> 15u
Carl’s money --> 4u

After Raju spent $450 and Carl received $120,
15u - $450 : 4u + $ 120
= 5 : 2

Cross-multiply --> 30u - $ 900 = 20u + $600
10u = $ 1500 --> 1u = $ 150
15u = $ 2250

Raju had $ 2250 at first.

2)
After 750ml was poured from Tin B into Tin A,
amount of white paint : red paint, in Tin A --> 1.5l : 0.75l = 2 : 1

After mixture of Tin A as poured into Tin B,
total amount of red paint in Tin B --> 7u
amount of white paint in Tin B --> 4u

Since the white paint came from Tin A, and white paint : red paint from Tin A is in ratio of 2 : 1,
amount of red paint from Tin A mixture --> 2u

So, amount of red paint from Tin B --> 7u-2u = 5u
5u --> 1.25l - 750 ml = 500 ml , 1u --> 100ml
Volume from Tin A mixture --> 4u + 2u = 6u = 600 ml


cheers.

[elkniwt]

jesschan:

And does anyone have the complete question to Q18 of paper 2? The total area of triangles A & B is missing in my copy.


Many thanks!

Dear jesschan,

It is also blank on my copy. But I think it is 125% (my guess), cos I could get the answer 3/22 using this value.

Here's the question. I put in 125% in red (only my guess).
http://i44.tinypic.com/1zr1jq9.jpg\">

Dear tianzhu and MathIzzzFun,
I only know how to do this question using simultaneous equations. :oops: Could you please help to advise how to do this question in suitable method. Thank you very much.

[sleepyqueen]

jesschan,

Here is it based on elkniwt's upload:
http://i41.tinypic.com/1z676s4.jpg\">

[pixiedust]

Thanks all for help with Q18, my copy also has the missing '125%'.


My brain is rusty after the holiday ! I would appreciate any help with the following questions - if no time for a full solution, just the units statements will do.Thanks !

Source : NYPS 2011 P6 CA1 Paper 2
http://i1197.photobucket.com/albums/aa424/pixie_dust8/ksp2012/q11.jpg\">
-> I am confused bythe 3/4 of a bead and \"no bead is to be divided in any way\", this should be remainder concept and to use branch method ?

http://i1197.photobucket.com/albums/aa424/pixie_dust8/ksp2012/q14.jpg\">
-> I have problems forming the Day 2, 10% increase for Females !

http://i1197.photobucket.com/albums/aa424/pixie_dust8/ksp2012/q17.jpg\">
-> this is external transfer but the number transferred out is expressed in ratios, how to for the units statements?


SOS! SOS! SOS !
THANKS IN ADVANCE !

[MathIzzzFun]

elkniwt:

jesschan:

And does anyone have the complete question to Q18 of paper 2? The total area of triangles A & B is missing in my copy.


Many thanks!

Dear jesschan,

It is also blank on my copy. But I think it is 125% (my guess), cos I could get the answer 3/22 using this value.

Here's the question. I put in 125% in red (only my guess).
http://i44.tinypic.com/1zr1jq9.jpg\">

Dear tianzhu and MathIzzzFun,
I only know how to do this question using simultaneous equations. :oops: Could you please help to advise how to do this question in suitable method. Thank you very much.

Hi

http://www.flickr.com/photos/62167097@N02/6705370185/in/photostream

cheers.

[tianzhu]

Hi pixiedust


For your first question, there was quite a similar question discussed in one of the earlier posts.Maybe, it'll help.

The solution to your question.

1 unit ------ 1+3/4 ------7/4
4 units -------7/4*4 ------7

1 part -------- 7+3/4 ------- 31/4
4 parts -------- 31

3 parts ------- 23.25
Sally received (23.25 + 0.75) ------- 24

(Note 3/4 is equal to 0.75)

Best wishes

http://farm5.staticflickr.com/4019/4713599224_8f586290c0_z.jpg\">

[tianzhu]

Hi pixiedust


For the second question,

First day
Male participants ------ 100% + 70
Female participants ------ 100%

Second day
Male participants ------ 80% + 56 (decreased by 20%)
Female participants ------ 110% (increased by 10%)

190% + 56 ------ 531
190% ------ 475
100% ------- 475/190 * 100 ------- 250

Number of participants for first day -------- 250 + 70 + 250 ------ 570
Number of participants for second day -------- 256 + 275 ------ 531

Total number of participants ------ 570 + 530 ------ 1101

Amount collected ------ 1101*35 ------ 38535


For the third question, you may use “Units and Parts”.If you have a copy of Challenging Maths Problems Made Easy by Ammiel Wan, please refer to the chapter on \"Changed Quantities Concept\".

At first
Jane ------- 135
Iris ------- 120

Jane gave away 1 unit (25%).
Iris gave away 4 units.

In the end
Jane ------- 2 parts
Iris ------- 1 part.

Equalise the parts so as to make comparison.

135 – 1 unit -------- 240 – 8 units
7 units ------- 105
1 unit ------- 15

Iris gave away (4*15) or 60 sweets.

Jane had (135 – 15) or 120 sweets in the end.

Best wishes

[pixiedust]

Thank you tianzhu, you saved my life ! Got them all…and will work hard to brush up my revision. Your help much appreciated !

[elkniwt]

Hi MathIzzzFun,

Wow! Thank you for the model method. It's ingenious!! hmm... wonder if my dd can digest it or not. I'll try to explain to her.

Hi sleepyqueen,
My method is similar to yours. I am a bit hesitant to teach my dd simultaneous equations. Are they allowed to use this method?

Thanks everyone!