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July 16th, 2015, 04:01 PM  #1 
Newbie Joined: Jul 2015 From: UK Posts: 3 Thanks: 0  How do I work this out?
Hi, my partner is due to take a Maths test shortly and has been going through some preactice papers. There are a few calculations we are unsure of and would greatly appreciate any support. The first calculation is (the numbers are wrote as fractions but I couldnt format it correctly on this post) In a mathematics exam 3/4 of the total marks come from a written paper and 1/4 of the marks from coursework. In the written paper 14 of the marks come from a mental test. What fraction of the total marks come from the mental test? Many thanks 
July 16th, 2015, 05:09 PM  #2 
Newbie Joined: Jul 2015 From: UK Posts: 3 Thanks: 0 
Sorry, I made a mistake in the last line of the question, it should read  In a mathematics exam 3/4 of the total marks come from a written paper and 1/4 of the marks from coursework. In the written paper 1/4 of the marks come from a mental test. What fraction of the total marks come from the mental test? 
July 16th, 2015, 05:46 PM  #3  
Math Team Joined: Jul 2011 From: Texas Posts: 3,102 Thanks: 1677  Quote:
 
July 16th, 2015, 06:00 PM  #4 
Newbie Joined: Jul 2015 From: UK Posts: 3 Thanks: 0  Apologies, the formatting wasnt great, Ive attached a pic of the test paper question. Thanks

July 17th, 2015, 03:06 AM  #5 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,166 Thanks: 738 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
Since the written test is $\displaystyle \frac{3}{4}$ of the total mark and the mental test is $\displaystyle \frac{1}{4}$ of the written test, the mental test represents $\displaystyle \frac{1}{4}$ of that $\displaystyle \frac{3}{4}$ contribution to the total mark. i.e. we need to calculate $\displaystyle \frac{1}{4}$ of $\displaystyle \frac{3}{4}$ "Of" means "Times" (Remember this). So we need to calculate $\displaystyle \frac{1}{4} \times \frac{3}{4}$: $\displaystyle \frac{1}{4} \times \frac{3}{4}$ $\displaystyle =\frac{1\times 3}{4 \times 4}$ $\displaystyle =\frac{3}{16}$ The mental test represents $\displaystyle \frac{3}{16}$ of the total mark. 
July 20th, 2015, 09:01 PM  #6 
Senior Member Joined: May 2015 From: Varanasi Posts: 110 Thanks: 5 Math Focus: Calculus 
Thanks that you edited the question.I was surprised by the first one that is would be impossible to find out the fraction as many solution will exist. For the edited part. the mental test will have 1/4*3/4 of total marks ie. 3/16, for example if total marks is 16 3 marks will be for mental test, 12 for written work and 4 for coursework, 9 marks for non mental written work(i don't know what type of work would be non mental but written !) 

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