MATHEMATICS: USING THE MODEL METHOD TO SOLVE P6 FRACTIONS WORD PROBLEM

THE QUESTION

Weiting and Yili had $71 altogether. Yili and Felya had $105 altogether. Weiting had 3/5 of the money that Felya had. How much money did Yili have?


THE SOLUTION

$20. If you're not sure how the answer is derived, check out the video below.

MATHEMATICS: USING THE MODEL METHOD TO SOLVE P6 FRACTIONS WORD PROBLEM

THE QUESTION

Sally, Halim and Jack share $240. Sally receives 1/3 as much money as Jack. After Halim gave $20 of his money to Sally, Sally has 1/2 has much money as Jack. How much money does Halim have at first?


THE SOLUTION

$80. If you don't understand why the answer is $80, check out the video below.

MATHEMATICS: USING THE MODEL METHOD TO SOLVE P6 FRACTION WORD PROBLEM

WORD PROBLEM

Megan had some money. She bought a necklace for $250 and spent 1/4 of the remaining money on a ring. She still had 1/3 of her money left. How much money did Megan spend on the ring?


SOLUTION

$50. If you're not sure how to derive the solution, you can check out the video posted below.

MATHEMATICS: USING LOGIC TO SOLVE P6 FRACTIONS WORD PROBLEM

The question:

A and B are two different numbers selected from 1 to 100 inclusive.
What is the largest value that (A+B)/(A-B) can have?


Solution:

MATHEMATICS: USING THE MODEL METHOD TO SOLVE P6 WORD PROBLEM

The word problem today:

A container of sand weighed 5kg when it was 1/2 full, and weighed 4kg when it was 1/3 full. What was the weight of the container when it was full?


Solution:

MATHEMATICS: FRACTIONS FOR PRIMARY 6

To spice things up a little here, alongside the one composition a week, I'll also be posting up worked solutions of Maths word problems here on an ad-hoc basis.


Due to the upcoming PSLE, all compositions and Maths problems will be geared towards the P5/6 levels. After the PSLE, they will be pitched at the P3/4 levels.


Today's word problem is extracted from the following book:

This is one book from a series of Mathematics assessment books. The series has a book for each primary level. I purchased the whole series when I was still a teacher in school. I highly recommend this series as the questions in them cover a wide range of word problems from intermediate to challenging. I also like them because I find the problems tend to be of a 'thinking' nature, i.e. challenging, application-kind of questions, rather than the memorise-the-answer type.


Only downside that I can nitpick is that unlike certain kinds of assessment books which have one genre of question followed by many similar examples for the pupil to practise, this book is more of the one-genre-one-question type. Hence it should really be used more as a means to stretch the pupil's thinking ability, not for drilling.

Question for the day

I am thinking of a fraction. The sum of its numerator and denominator is 37. When I add 23 to its denominator, the fraction becomes 1/4. What is the fraction I'm thinking of?

Solution

If you find any part of the explanation unclear, feel free to email me at learningpartnersyishun@gmail.com.


Happy learning!