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    Hi, just asking for some advice. In maths my target is a 9 (I sit my exams next year). I'm currently an 8 and the only topic I struggle with is proofs (any type, whether it be algebraic or geometrical). Can someone give me examples of proof questions and how to answer them? I feel like this will be the only topic preventing me from getting a 9 at GCSE, as I understand and excel at all other areas of maths. Thanks
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    (Original post by Pepsi_Max)
    Hi, just asking for some advice. In maths my target is a 9 (I sit my exams next year). I'm currently an 8 and the only topic I struggle with is proofs (any type, whether it be algebraic or geometrical). Can someone give me examples of proof questions and how to answer them? I feel like this will be the only topic preventing me from getting a 9 at GCSE, as I understand and excel at all other areas of maths. Thanks
    Hi, Pepsi_Max. Love your username btw, I prefer Coca Cola slightly more as a soft drink :P . You can find some proof questions via Maths Genie if you click on the individual topics. Hope this helps.
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    (Original post by CoffeeAndPolitics)
    Hi, Pepsi_Max. Love your username btw, I prefer Coca Cola slightly more as a soft drink :P . You can find some proof questions via Maths Genie if you click on the individual topics. Hope this helps.
    Hi, thanks Thanks for that, I'll have a look on there
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    Hi there, as mentioned above, Mathsgenie is a great website to use. I wish you could have my teacher, she's great at teaching this stuff haha.

    Even numbers are represented as 2n - n being any number (n could be z,x, or u, or any letter)
    Odd numbers: 2n+1 (Do you get why?)
    Consecutive even numbers: 2n,2n+2,2n+4

    Hope you get it now? Feel free to come back with any questions.
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    (Original post by EdexcelAreIdiots)
    Hi there, as mentioned above, Mathsgenie is a great website to use. I wish you could have my teacher, she's great at teaching this stuff haha.

    Even numbers are represented as 2n - n being any number (n could be z,x, or u, or any letter)
    Odd numbers: 2n+1 (Do you get why?)
    Consecutive even numbers: 2n,2n+2,2n+4

    Hope you get it now? Feel free to come back with any questions.
    Thanks, I understand it a bit more now and yeah I get why - 1 is odd and any even number plus an odd number is an odd number
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    (Original post by Pepsi_Max)
    Thanks, I understand it a bit more now and yeah I get why - 1 is odd and any even number plus an odd number is an odd number
    But it's slightly more than that. You're right, 2n+1 will always be an odd number, but it's also the fact that 2n+1 can be any odd number, because you can get any odd number by adding one to an even number.
    Just like not only is 2n an even number, but that it is any even number, because you can make any even number by doubling an integer.
    It's little things like this that make all the difference in proofs.
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    (Original post by Pepsi_Max)
    Thanks, I understand it a bit more now and yeah I get why - 1 is odd and any even number plus an odd number is an odd number
    Yep, and it's worth mentioning never substitute in numbers when doing these questions, it's not what they're looking for!

    For example:

    Prove that an even number times by an odd number = even

    Never do:
    Well 3*6=18, and 18 is an even number

    Correct way:

    2n*2n+1=4n^2+2n

    Factorise 4n^2+2n = 2(2n^2+n) - Any number multiplied by 2 = even
 
 
 
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