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Math Help - 3 questions need help understanding - for accountancy interview psychometric test

  1. #1
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    3 questions need help understanding - for accountancy interview psychometric test

    I am working my way through 'How to pass advanced numeracy tests' book, and have some confusion understang the following questions, would be great if someone could briefly explain:
    - im sure i will post fdurther question i am finding difficult to work out, but thee 2 for now please.

    by the way i have the answers, i just want to understand the working out, its been almost 6 years since i finished high school / studied maths
    .

    1: How is "work out 3.142 as a fraction?" = 22/7 ?
    how would you work this out?

    2. Frequency table
    Here is the table: ImageShack® - Online Photo and Video Hosting
    - this is exactly how it is shown in the book.- there is no further information.

    1. Which group has the highest frequency?
    2. What is the median result?

    Here are the answetrs:
    1. The 70-79 Group (group 7)
    2. 65 (there are 16 entries so it is between the 8 and 9 results which are both 65)


    Now here is my confusion:
    1. I created a freq table which showed group 7 had the highest freq, but why does it say the 70-79 group? there was no information saying the list of numbers where in tens, so why are they now 70-79?
    2. I understand the median is the middke figure so number 8 & 9 (2 middle numbers) are 4& 5, so the median should be 4.5? even if they use the middle 'group' thats 7 and 8 = 7.5

    So how on earth did they get 65, none of the numbers go over 9, so very confused ??



    3. Solve the following equation:
    (4 to the power of 2 - 3 to thre power of 2) - 2 to the power of 4 =

    so i think simple, (16 - 9) - 16 = -9

    but no the answer = 23 = 16 + 9 = 23
    Why is it now a Plus instead of a Minus?


    thank you
    Last edited by adamt; October 3rd 2011 at 04:12 AM.
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  2. #2
    Grand Panjandrum
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by adamt View Post
    3. Solve the following equation:
    (4 to the power of 2 - 3 to thre power of 2) - 2 to the power of 4 =

    so i think simple, (16 - 9) - 16 = -9

    but no the answer = 23 = 16 + 9 = 23
    Why is it now a Plus instead of a Minus?


    thank you
    Is

    (4^2-3^2)-2^4

    exactly as printed in the question? If it is the conventional interpretation is

    (4^2-(3^2))-(2^4)=-9

    CB
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by adamt View Post

    1: How is "work out 3.142 as a fraction?" = 22/7 ?
    how would you work this out?
    3.142=3+0.142=3+\frac{142}{1000}

    So to show that

    3.142\approx \frac{22}{7}=3+\frac{1}{7}

    you need to show that 1000/142 \approx 7

    CB
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Yes CBit is printed as you put it i just dont know how to type a "to the power of = small higher positioned number)
    i got -9 too but th book says the correct answer is 23 and they use a +, not a - , which confuses me?
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by CaptainBlack View Post
    [TEX]
    you need to show that 1000/142 \approx 7

    CB
    thats my problem how do you work out that 1000/142 is approximately 7?
    likewise for 22?
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by adamt View Post
    thats my problem how do you work out that 1000/142 is approximately 7?
    likewise for 22?
    You divide 1000 by 142.

    The 22 is irrelevant as it has already been dealt with.

    CB
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by adamt View Post
    I3. Solve the following equation:
    (4 to the power of 2 - 3 to thre power of 2) - 2 to the power of 4 =
    so i think simple, (16 - 9) - 16 = -9
    but no the answer = 23 = 16 + 9 = 23
    Why is it now a Plus instead of a Minus?
    You're losing your time trying to rationalize a simple typo;
    if answer is 23, then it's obvious: 16 - 9 + 16 = 23 (last - sign should be a +)
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by CaptainBlack View Post
    You divide 1000 by 142.

    The 22 is irrelevant as it has already been dealt with.

    CB
    ok i understand how we get 7, 1000 / 142 = - 7
    although it is minus 7

    but how do we get 22? i cant see this explanation in replies

    thank you
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by Wilmer View Post
    You're losing your time trying to rationalize a simple typo;
    if answer is 23, then it's obvious: 16 - 9 + 16 = 23 (last - sign should be a +)
    i see, thanks
    i just didnt expect a maths book to have typo's
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  10. #10
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    Re: 3 questions need help understanding - for accountancy interview psychometric test

    Quote Originally Posted by adamt View Post
    i just didnt expect a maths book to have typo's
    Oh no?! Don't worry, there will be more...
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