Post by Admin on Oct 31, 2021 21:25:14 GMT 7
Part-Whole Problems are very common and you can easily recognise them because they all involve equal parts.
We usually use models to solve such problems.
It is very important that you draw your boxes the same size if they represent the equal amount, otherwise you yourself can become confused while doing the sum.
Tip 1: Use the markings on your ruler to mark out equally-spaced marks. It's very accurate and fast.
Tip 2: I like my boxes touching each other. It saves my having to draw more lines, and it's easier to keep the boxes the same size.
Example(correct version): Ali had twice as many stickers as Bala. After Bala bought another 36 stickers, Bala had 5 times as many stickers as Ali. How many stickers did Bala have in the end?
How I think as I go about solving this sum:
1) Firstly, I saw that Ali is twice Bala, so I sketch a rough model at the side.
2) Ali doesn't change, but Bala becomes 5 times of Ali. So I add to my sketch, so that Bala is now 5 times of Ali.
3) I then notice that the increase for Bala is equal to 4 units. (At first, Bala was 1 unit.)
4) It's easy from here, because 4 units is 40, so one unit is 10, thus 5 units is 50. Done!
Tip: I always sketch a rough copy while I'm reading the question, because I'm still not sure how many boxes I'm going to need or how much space I need.
Another reason is that when my hand is moving, my brain will also be moving.
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This is the original incorrect answer and the undoable question:
Example: Ali had twice as many stickers as Bala. After Bala bought another 40 stickers, Bala had 5 times as many stickers as Ali. How many stickers did Bala have in the end?
We usually use models to solve such problems.
It is very important that you draw your boxes the same size if they represent the equal amount, otherwise you yourself can become confused while doing the sum.
Tip 1: Use the markings on your ruler to mark out equally-spaced marks. It's very accurate and fast.
Tip 2: I like my boxes touching each other. It saves my having to draw more lines, and it's easier to keep the boxes the same size.
Example(correct version): Ali had twice as many stickers as Bala. After Bala bought another 36 stickers, Bala had 5 times as many stickers as Ali. How many stickers did Bala have in the end?
How I think as I go about solving this sum:
1) Firstly, I saw that Ali is twice Bala, so I sketch a rough model at the side.
2) Ali doesn't change, but Bala becomes 5 times of Ali. So I add to my sketch, so that Bala is now 5 times of Ali.
3) I then notice that the increase for Bala is equal to 4 units. (At first, Bala was 1 unit.)
4) It's easy from here, because 4 units is 40, so one unit is 10, thus 5 units is 50. Done!
Tip: I always sketch a rough copy while I'm reading the question, because I'm still not sure how many boxes I'm going to need or how much space I need.
Another reason is that when my hand is moving, my brain will also be moving.
===========
This is the original incorrect answer and the undoable question:
Example: Ali had twice as many stickers as Bala. After Bala bought another 40 stickers, Bala had 5 times as many stickers as Ali. How many stickers did Bala have in the end?