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Math Help - Maths 11+ question we have no idea about .

  1. #1
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    Maths 11+ question we have no idea about .

    Hi,

    Qyestion

    Convert 10!seconds into weeks?

    Please show simplified working as I have to explain it to my 10 year old daughter as it has come up in her exam for 11+

    Thanks

    Dee
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  2. #2
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    Quote Originally Posted by dee@landspace.co.uk View Post
    Hi,

    Qyestion

    Convert 10!seconds into weeks?

    Please show simplified working as I have to explain it to my 10 year old daughter as it has come up in her exam for 11+

    Thanks

    Dee
    I don't think you meant 10 factorial, so I'll just assume you meant 10 seconds.

    1 week is equivalent to 7 days
    1 day is equivalent to 24 hours
    1 hour is equivalent to 60 minutes
    1 minute is equivalent to 60 seconds

    \begin{aligned}<br />
1~\text{week} &= 7~\text{days} \\ <br />
&= 7\times 24~\text{hours} \\<br />
&= 7\times 24 \times 60~\text{minutes} \\<br />
&= 7\times 24 \times 60 \times 60~\text{seconds} \\<br />
&= 604800~\text{seconds}\end{aligned}

    But 1 week = 10(60480) seconds and if divided by 60480, we get 10~\text{seconds} = \frac{1}{60480}~\text{of a week}
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  3. #3
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    Quote Originally Posted by dee@landspace.co.uk View Post
    Hi,

    Qyestion

    Convert 10!seconds into weeks?

    Please show simplified working as I have to explain it to my 10 year old daughter as it has come up in her exam for 11+

    Thanks

    Dee
    10!\ \mathrm{seconds}=10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\ \mathrm{seconds}

    Now there are 60 \times 60 \times 24 \times 7 seconds in a week (that is 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day and 7 days in a week).

    So:

    10!\ \mathrm{seconds}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{60 \times 60 \times 24 \times 7 } \ \mathrm{weeks}

    Now cancel as many common factors as you can and you should be left with something easy to evaluate.

    .
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  4. #4
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    Thank you very much. Explained beautifully.
    Dee
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