Milo Clutched October 10, 2009 Share October 10, 2009 From Yahoo Sg: Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim ↡ Advertisement Link to post Share on other sites More sharing options...
Kusje Supersonic October 10, 2009 Share October 10, 2009 (edited) Every exam needs at least 1 or 2 hard questions otherwise there will be no difference between a brilliant child and a smart child. With such questions, the brilliant child can score 100 while the smart one gets a respectable 95-97 marks. Solving this question is extremely easy if you know algebra but I reckon that P6 students are not taught algebra (note, this doesn't mean that you cannot use algebra in P6; you can use any method in the exams) Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim Edited October 10, 2009 by Kusje Link to post Share on other sites More sharing options...
Milo Clutched October 10, 2009 Share October 10, 2009 Every exam needs at least 1 or 2 hard questions otherwise there will be no difference between a brilliant child and a smart child. With such questions, the brilliant child can score 100 while the smart one gets a respectable 95-97 marks. Solving this question is extremely easy if you know algebra but I reckon that P6 students are not taught algebra (note, this doesn't mean that you cannot use algebra in P6; you can use any method in the exams) Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim’s sweets to chocolates became 1:7 and the ratio of Ken’s sweets to chocolates became 1:4. How many sweets did Ken buy?" Ans =68 Basically, both Jim and Ken start out with an equal number of chocolates and an equal number of sweets. We want each person to have a similar number of “blocks” of chocolates so we can compare. Ideally, we want to compare it with the person with the fewest “blocks”, ie Ken (4 blocks). The extra 3 “blocks” of chocolates that Jim has is equal to 12*4 + 18 = 66 One block that Jim has = 22 Total number of sweets = (22+12)*2= 68 i find that in your models, in the unit of ken's sweet, 12 is missing right? Link to post Share on other sites More sharing options...
Kusje Supersonic October 10, 2009 Share October 10, 2009 i find that in your models, in the unit of ken's sweet, 12 is missing right? Haha, forgot to draw it because I am only comparing chocolates. Link to post Share on other sites More sharing options...
Zniper 2nd Gear October 10, 2009 Share October 10, 2009 I recently looked at this book of actual primary school exam questions in math. Gosh, things have really moved on from when I was a kid. Now the kids have to answer questions like deducing the nets of a solid shape and summing up arithmetic progressions like 1+3+5+...+19. Presumably, the latter problem is not supposed to be done with canned formulae but with flashes of insight, like Gauss did it as a kid (well, he summed all nos. from 1 to 100). APGP used to be in my sec maths for 'o' levels, but during my yr is out of the syllabus... now pri sch need to take tis APGP kinda of stuffs liao... Link to post Share on other sites More sharing options...
Ultramega 1st Gear October 10, 2009 Share October 10, 2009 we learnt plenty of mathematics equations/formulas in sch but sadly ... we dont really use it in most jobs. Not true. Your systematic approach to problems, as well as the reasoning and comparison skills that you use in your daily work were learnt in maths and science classes. PE, language classes don't teach you these. You applied maths skills without knowing it. Link to post Share on other sites More sharing options...
Civicblade 2nd Gear October 11, 2009 Share October 11, 2009 (edited) The graphical method of solving this problem sum requires the solver to understand and see the spatial relationship between numbers. This kind of question forces the students to switch their brains from step by step manipulation of numbers to spatial relationship and logical reasoning. Using algebra to solve is akin to using some kind of calculator tool on paper. Where as the graphical method although also a tool, it gives the solver the chance the see the entire picture of the problem. I applaud MOE on not allowing primary school students to use algebra and calculators. These mathematical tools will be used so frequently in our later years that we take them for granted, we know how to use them but we do not know why or how they work and it makes us unable to these tools in our lives.. (take for example differential, integrals, Laplace transformation, Log etc.. ) Edited October 11, 2009 by Civicblade Link to post Share on other sites More sharing options...
Kusje Supersonic October 11, 2009 Share October 11, 2009 I applaud MOE on not allowing primary school students to use algebra and calculators. These mathematical tools will be used so frequently in our later years that we take them for granted, we know how to use them but we do not know why or how they work and it makes us unable to these tools in our lives.. (take for example differential, integrals, Laplace transformation, Log etc.. ) I have always been under the impression that MOE doesn't ban students from using algebra; they just don't teach it. If you manage to learn algebra from elsewhere, you should be free to use it because most questions do not specify the method you should use to solve it. (e.g solve using models, solve without using algebra etc) Link to post Share on other sites More sharing options...
Karchooi Neutral Newbie October 11, 2009 Share October 11, 2009 Every exam needs at least 1 or 2 hard questions otherwise there will be no difference between a brilliant child and a smart child. With such questions, the brilliant child can score 100 while the smart one gets a respectable 95-97 marks. Solving this question is extremely easy if you know algebra but I reckon that P6 students are not taught algebra (note, this doesn't mean that you cannot use algebra in P6; you can use any method in the exams) Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim Link to post Share on other sites More sharing options...
Kusje Supersonic October 11, 2009 Share October 11, 2009 Then stupid one how? Ans: I don;t know Ken Skip the question or get it wrong? Such is life: not everyone is going to have the capabilities to do somethings so it will be good for children to learn this from a young age. Link to post Share on other sites More sharing options...
Karchooi Neutral Newbie October 11, 2009 Share October 11, 2009 Skip the question or get it wrong? Such is life: not everyone is going to have the capabilities to do somethings so it will be good for children to learn this from a young age. You mean people are born stupid or intelligent? Link to post Share on other sites More sharing options...
Kusje Supersonic October 11, 2009 Share October 11, 2009 You mean people are born stupid or intelligent? Um, yes. This is a very popular theory. People are born stupid and born intelligent(one extreme would be retards) just like they are born short and tall, ugly and pretty. How intelligent a person is is generally governed by a few factors: diet, genes and education just like how genes and diet would control how tall a person will be. Link to post Share on other sites More sharing options...
Karchooi Neutral Newbie October 11, 2009 Share October 11, 2009 Um, yes. This is a very popular theory. People are born stupid and born intelligent(one extreme would be retards) just like they are born short and tall, ugly and pretty. How intelligent a person is is generally governed by a few factors: diet, genes and education just like how genes and diet would control how tall a person will be. Makes sense. No wonder some people I think are so stupid. Link to post Share on other sites More sharing options...
Milo Clutched October 11, 2009 Share October 11, 2009 Makes sense. No wonder some people I think are so stupid. everyone is borne innocent. :) Link to post Share on other sites More sharing options...
Maxus-MIFA9 Supersonic October 11, 2009 Share October 11, 2009 everyone is borne innocent. :) Yup....... until ones reach the age of 16 and hankie pankie starts...... Link to post Share on other sites More sharing options...
Karchooi Neutral Newbie October 11, 2009 Share October 11, 2009 everyone is borne innocent. :) But i think those who believe in Karma thinks different Link to post Share on other sites More sharing options...
WTF 4th Gear October 11, 2009 Share October 11, 2009 Yup....... until ones reach the age of 16 and hankie pankie starts...... Some starts as young at the age of 12, when their didi managed to 'Marikita' upon seeing gals..... Link to post Share on other sites More sharing options...
Maxus-MIFA9 Supersonic October 11, 2009 Share October 11, 2009 (edited) Some starts as young at the age of 12, when their didi managed to 'Marikita' upon seeing gals..... errrr.................. very small percentage lar....... majority around 15 & 16....... Edited October 11, 2009 by Picnic06 ↡ Advertisement Link to post Share on other sites More sharing options...
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