Chocolate fraction Question

11 Plus Maths – Preparation and Information

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faheej
Posts: 20
Joined: Thu Aug 29, 2013 9:33 am

Chocolate fraction Question

Post by faheej »

I need help with this one .
I have a big bar if chocolate .
I eat 1/4 on Saturday and 1/2 of what's left on Sunday .
I take the rest of it to School on Monday and give 1/3 to my friend.
I eat the rest myself on Monday.
What Fraction of the big bar did I eat on Monday?
secondtime
Posts: 138
Joined: Sat Apr 17, 2010 3:53 pm

Re: Chocolate fraction Question

Post by secondtime »

Answer is 1/4

I drew a picture of the bar and shaded areas as they were 'eaten'.
Visually an easy question (assuming I got it right :evil: )
mystery
Posts: 8927
Joined: Tue Jul 21, 2009 10:56 pm

Re: Chocolate fraction Question

Post by mystery »

faheej wrote:I need help with this one .
I have a big bar if chocolate .
I eat 1/4 on Saturday and 1/2 of what's left on Sunday .
I take the rest of it to School on Monday and give 1/3 to my friend.
I eat the rest myself on Monday.
What Fraction of the big bar did I eat on Monday?


Or with numbers:
On Sunday I ate half of 3/4. Half of 3/4 will remain. This is 3/8.

On Monday I gave 1/8 to my friend ( this is one third of 3/8). I ate the remaining chocolate which is 2/8. This simplifies to 1/4.

Nice fraction practice question. Where is it from?
parent2013
Posts: 452
Joined: Mon Aug 12, 2013 10:13 am

Re: Chocolate fraction Question

Post by parent2013 »

I eat 1/4 on Sat --> portion left on Sat is 3/4
Then I eat 1/2 on Sun of what's left --> i.e. 1/2 of 3/4 =3/8 left on Sunday
Then I gave 1/3 to my friend --> 2/3 of left on Sun i.e. 3/8

2/3 x 3/8
1/4

But you can get the same answer quickly (saving you couple of seconds I guess :) ) if you focus on what's left after eating on Sunday and do times portion eaten.

3/4 x 1/2 x 2/3 = 1/4 answer

[Cancel 2 in numerator with 2 in denominator and similarly 3 with 3]
pheasantchick
Posts: 2439
Joined: Tue Jun 02, 2009 10:28 pm

Re: Chocolate fraction Question

Post by pheasantchick »

That's easy, if you were me.

The answer would be All Of It! :lol:
yoyo123
Posts: 8099
Joined: Mon Jun 18, 2007 3:32 pm
Location: East Kent

Re: Chocolate fraction Question

Post by yoyo123 »

pheasantchick wrote:That's easy, if you were me.

The answer would be All Of It! :lol:
:lol: :lol:
mystery
Posts: 8927
Joined: Tue Jul 21, 2009 10:56 pm

Re: Chocolate fraction Question

Post by mystery »

:lol: or maybe none - I was lying. I woofed the whole lot on Saturday.
faheej
Posts: 20
Joined: Thu Aug 29, 2013 9:33 am

Re: Chocolate fraction Question

Post by faheej »

Thanks for all the replies.. very useful.
The question was taken from a online paper for 11 plus

:)
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