PSLE - New Format for Maths
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atutor2001:
Model is powerful tool but not easy to grasp.luckystar:
To p5 parents, train your kids algebra if he or she a high-ability learner !
Fully agreed. However, please don't condemn \"model\" completely to the dungeon. It is a very powerful tool for solving question with minimum information. -
finder:
Model is powerful tool but not easy to grasp.[/quote]Can anyone help me to solve this below using the model method?atutor2001:
[quote=\"luckystar\"]To p5 parents, train your kids algebra if he or she a high-ability learner !
Fully agreed. However, please don't condemn \"model\" completely to the dungeon. It is a very powerful tool for solving question with minimum information.
John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. After one year, he received a total of $1,620 in simple interest from the three investments. The money market paid 6% annually, the bonds paid 7% annually, and the mutually fund paid 8% annually. There was $6,000 more invested in the bonds than the mutual funds. Find the amount John invested in each category -
John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. After one year, he received a total of $1,620 in simple interest from the three investments. The money market paid 6% annually, the bonds paid 7% annually, and the mutually fund paid 8% annually. There was $6,000 more invested in the bonds than the mutual funds. Find the amount John invested in each category
Money invest model
MM [ ] |
MB [1u ][6000] }$25000
MF [ 1u] |
25000-6000=$19000
MM= 19000-2u
Interest received for the $6000 invested in municipal bonds
7% x 6000=7/100 x 6000
=7 x 60
=$420
$1620- $420= $1200
interest receive from 19000-2u of MM
6% x (19000-2u)=19000x 6% -2u x 6%
=(114000-12u)/100
interest receive from 1 u of MB
7% x 1u= 7u/100
interest receive from 1 u of MF
8% x 1u= 8u/100
$1200=120000/100
since all is divided by 100 we can ignore them(multiply all by 100)
114000-12u+7u+8u=120000
3u +114000=120000
3u=6000
1u=$2000
money invested in MM
19000-2u=19000-2x2000
=19000- 4000
=$15000
money invested in MB
1u+6000=2000+6000
=$8000
money invested in MF
1u=$2000
double check
15000 X 6%= $900
8000 X 7%= $560
2000X 8%= $160
900+560+160=$1620(correct)
hope this helps=D But still seems algebra to me :stupid: -
For the benefits of those parents who have kids preparing for next year (and the next, and the next) PSLE, I strongly recommend this assessment book \"Must know Maths problem sums\" by EPH. The solution for the sweets question is found there. Of course, there are many more different types of questions. However, make sure your kids know their basics well. If you need to help in almost all the questions, you know they're not ready. Good luck! :rahrah:
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enoawng:
Amount
Can anyone help me to solve this below using the model method?
John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. After one year, he received a total of $1,620 in simple interest from the three investments. The money market paid 6% annually, the bonds paid 7% annually, and the mutually fund paid 8% annually. There was $6,000 more invested in the bonds than the mutual funds. Find the amount John invested in each category
F [Fu]...............)
B [Fu][6000]......) $25000
M [Mu]..............)
2 Fu + Mu -> 25000 - 6000 = 19000
12 Fu + 6 Mu -> 6 x 19000 = 114000
Interest x 100
F [Fu][Fu][Fu][Fu][Fu][Fu][Fu][Fu] ...............)
B [Fu][Fu][Fu][Fu][Fu][Fu][Fu][420 x 100]......) $1620 x 100
M [Mu][Mu][Mu][Mu][Mu][Mu]........ ..............)
15 Fu + 6 Mu -> 162000 - 42000 = 120000
3 Fu -> 120000 - 114000 = 6000
1 Fu -> 6000/3 = $2000
Mu -> 19000 - 2 x 2000 = $15000
Bu -> 2000 + 6000 = $8000
John invested $15000 in Money market, $8000 in Muncipal Bond and $2000 in Mutual Fund. -
tutormum:
For the benefits of those parents who have kids preparing for next year (and the next, and the next) PSLE, I strongly recommend this assessment book \"Must know Maths problem sums\" by EPH. The solution for the sweets question is found there. Of course, there are many more different types of questions. However, make sure your kids know their basics well. If you need to help in almost all the questions, you know they're not ready. Good luck! :rahrah:
The P5 book is very tough (good for diligent students) but I didn't try using the P6 book yet because there is another good book \"Challenging Maths made easy\" which all my students do before the PSLE. Hope for the best for all students!
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Guan Hui:
John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. After one year, he received a total of $1,620 in simple interest from the three investments. The money market paid 6% annually, the bonds paid 7% annually, and the mutually fund paid 8% annually. There was $6,000 more invested in the bonds than the mutual funds. Find the amount John invested in each category
Money invest model
MM [ ] |
MB [1u ][6000] }$25000
MF [ 1u] |
25000-6000=$19000
MM= 19000-2u
Interest received for the $6000 invested in municipal bonds
7% x 6000=7/100 x 6000
=7 x 60
=$420
$1620- $420= $1200
interest receive from 19000-2u of MM
6% x (19000-2u)=19000x 6% -2u x 6%
=(114000-12u)/100
interest receive from 1 u of MB
7% x 1u= 7u/100
interest receive from 1 u of MF
8% x 1u= 8u/100
$1200=120000/100
since all is divided by 100 we can ignore them(multiply all by 100)
114000-12u+7u+8u=120000
3u +114000=120000
3u=6000
1u=$2000
money invested in MM
19000-2u=19000-2x2000
=19000- 4000
=$15000
money invested in MB
1u+6000=2000+6000
=$8000
money invested in MF
1u=$2000
double check
15000 X 6%= $900
8000 X 7%= $560
2000X 8%= $160
900+560+160=$1620(correct)
hope this helps=D But still seems algebra to me :stupid:
Hi Guan Hui,
I think algebra method will look more like that!
Three equations and that's all!
F+6000=B (1) --->> F=B-6000
6M+7B+8F=162000 (2)
M+B+F=25000 (3) --->>M+B+(B-6000)=25000 -->>M=31000-2B
If we put for F=B-6000 and for M=31000-2B in the second equation and after few calculation we will get that B=$8000,
Than F=B-6000=8000-6000 F=$2000,
For M=31000-2B=31000-16000 M=$15000
The last will be 7%x $8000=$560
8%x $2000=$160
9%x $15000=$900
It seems easier than any model.
Regards :lol: -
I can solve it in with 1 equation straight. Just trying to make the model make sense... but the space are canceled so the model looks wierd...=((
trying my answer more understandable thats all
Think next time I'll just use photoshop to make a jpeg and paste it here :lol:
I know algebra is surely more easy.. but enoawng say:Can anyone help me to solve this below using the model method? thats y the model method -
Guan Hui:
I can solve it in with 1 equation straight. Just trying to make the model make sense... but the space are canceled so the model looks wierd...=((
trying my answer more understandable thats all
Think next time I'll just use photoshop to make a jpeg and paste it here :lol:
I know algebra is surely more easy.. but enoawng say:Can anyone help me to solve this below using the model method? thats y the model method
OK! I just sow his/her request! Previously I did not go up to the beginning! -
Hehe=) np :lol:
Glad that the PSLE is officially finally over. Parents of P6 students and P6 students you all deserve A GOOD REST!! Enjoy the rest of the year^^ CHEERS!
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