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Math Help - increase percentage problem

  1. #1
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    increase percentage problem

    Hi guys

    I am having problems with this example, not sure how I would go about this without using a calculator.

    All 300 Year 11 pupils in a school took GCSE English. The number of pupils gaining grade C
    or above increased from 85% in the mock exam to 93% in the actual exam.
    How many more pupils gained grade C or above in the actual exam than in the mock exam?

    Help please

    Thank you
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  2. #2
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    Quote Originally Posted by shaz09 View Post
    Hi guys

    I am having problems with this example, not sure how I would go about this without using a calculator.

    All 300 Year 11 pupils in a school took GCSE English. The number of pupils gaining grade C
    or above increased from 85% in the mock exam to 93% in the actual exam.
    How many more pupils gained grade C or above in the actual exam than in the mock exam?

    Help please
    Thank you
    What is 85% of 300? What is 93% of 300? What is the difference between those two numbers?
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  3. #3
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    Not sure what you mean

    but do you mean turn to fraction so 85% would become 17/20

    ? how would i do this to 93?
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  4. #4
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    Quote Originally Posted by shaz09 View Post
    All 300 Year 11 pupils in a school took GCSE English. The number of pupils gaining grade C
    or above increased from 85% in the mock exam to 93% in the actual exam.
    How many more pupils gained grade C or above in the actual exam than in the mock exam?
    The increase: 93 - 85 = 8%
    1% of 300 = 3 ; so 8% = 24 ; follow that?
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  5. #5
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    thank you, I never knew that before
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  6. #6
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    Are you really saying you do not know how to find a percentage of a number?

    I asked "what is 85% of 300". That is: 0.85*300= 255.

    I asked "what is 93% of 300". That is: 0.93*300= 279

    Since 255 students got a "C" or better the first time and 279 got a "C" or better the second time, they improved by 279-255= 24 students.

    Of course, Wilmer's method works too. But I think this is a little more direct.
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  7. #7
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    well

    Hard to tell, Mr Hall.
    He seems to be trying to find the easiest way to solve without calculator.
    So I guess he'll get as many "answers" as there is "responders"!
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  8. #8
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    Hi Hall

    I am revising for a exam which I have to do as part of my course, you can take as many times. I am not trying to do a home work or anything like that, the exam has 16 questions and they are all mental articmatic questions. you have 54 secs to complete the question.

    Without using a calculator, I find this hard however i am revising and trying to find the best methods to answer the questions quickly.

    Thank you
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  9. #9
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    Percentage problems

    Hi guys

    Having problems with these types of questions

    for example say in a class of 30, 40% achieved half marks or above. How many people have gained less then half marks

    Okey so we have 40% and 30 students

    60% have gained less then half marks

    we can make this 3/5 and then divide 30 by 5 to make it 6 and then * 6 by 3

    Is this right?

    please let me know?
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  10. #10
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    \text{60}\% \;\text{of}\; 30 = \frac{3}{5} \cdot 30 = 18
    Yes.


    01
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  11. #11
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    Hi yeongil

    Thank you for the the correct answer, just wasnt sure but i am now?
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