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Maths Question

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 Joe123 13 Apr 2015
Currently looking at a question from the literacy and numeracy test for teaching and this comes up! Anyone care to explain how to get the answer

In a maths exam three quarters of the marks come from a written paper and one quarter from coursework.

In the written paper one quarter of the marks come from a mental test

What fraction of the total marks come from the mental test?

Any help appreciated
 skog 13 Apr 2015
In reply to Joe123:

Multiply the 3/4 of the total for the written test by the 1/4 of that from the mental test.

Remember to do it in your head, though.
 ThunderCat 13 Apr 2015
In reply to Joe123:
I'm trying to visual it with easier fractions to see if my actual answer was correct...

if it was "3/4 of marks from written paper...and in the written paper 1/3 of the marks come from mental", then the answer would be 1/4 of the overall mark, yeah? (3/4 X 1/3 = 3/12 = 1/4)

So by the same logic the actual question would break down to 3/4 X 1/4 = 3/16??
Post edited at 20:54
 Mark Kemball 13 Apr 2015
In reply to Joe123:

One quarter of three quarters - so that is three sixteenths.
interdit 13 Apr 2015
In reply to Joe123:

> Currently looking at a question from the literacy and numeracy test for teaching and this comes up! Anyone care to explain how to get the answer

> In a maths exam three quarters of the marks come from a written paper
> In the written paper one quarter of the marks come from a mental test

> What fraction of the total marks come from the mental test?

one quarter of three quarters of the whole marks available
= 1/4 of 3/4
= 1/4 x 3/4
= 1x3 / 4x4
=3/16

https://www.google.co.uk/search?q=multiplying+fractions
In reply to Joe123:

As a rule of thumb, "1/4 of" means "1/4 times".
OP Joe123 13 Apr 2015
In reply to skog:

Thank you all!
 ThunderCat 13 Apr 2015
In reply to Joe123:

Well 3/16 didn't seem like a very 'friendly' answer, so I expected my post to be wrong....but there you go!
In reply to Joe123:

To check your answer, suppose the maths exam was out of 16. How many marks would come from the mental test?
 marsbar 13 Apr 2015
In reply to Joe123:
Try a visual example.
Imagine a pizza.

Cut it into 4 equal pieces.

You can see what 3/4 of the pizza looks like.

You can't share those 3 pieces between 4 without cutting them smaller.

If you cut each of the quarter pizza pieces in to 4 small pieces, you would have 16 pieces of pizza in total.

3/4 of the pizza is 12 slices.

1/4 of the 12 slices is 3 slices.

So 1/4 of 3/4 is 3/16.
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