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Grade 9 Maths Paper GCSE (and other difficult GCSE questions) watch

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    (Original post by Notnek)
    I glanced at all the questions a few days ago and I felt the same about this one. I thought I might have missed an easier method.

    I haven’t tried all of them but I agree that it looks like a brilliant paper and I bet most A Level students couldn’t come up with a GCSE paper this good.
    Thank you for the compliment. I will admit I do feel the same and I was torn between 4 and 5 marks.
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    (Original post by Y11_Maths)
    Thank you for the compliment. I will admit I do feel the same and I was torn between 4 and 5 marks.
    Was your method the same as I hate maths method?
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    (Original post by Y11_Maths)
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    Your x^2 term is connected by an addition therefore when you multiply both sides by 9 this turns into 9x^2. And yes you are correct with your method
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    i dont understand why its 9x^2? if i times both sides by 9 from x^2+ (4x^2-12x+9)/9 = 45
    i get 9x^2 + 4x^2 which makes 13x^2. im not to sure where i went wrong but when i typed the quadratic in wolframalpha i got some weird number so ive gone wrong somewhere
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    (Original post by Notnek)
    Was your method the same as I hate maths method?
    Yes it was
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    (Original post by Y11_Maths)
    I have been working on my paper for a while now and I am proud to announce that it is finally ready to submit...
    A certain student of mine will be doing some of these tomorrow.

    Thank you.
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    (Original post by Gent2324)
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    i dont understand why its 9x^2? if i times both sides by 9 from x^2+ (4x^2-12x+9)/9 = 45
    i get 9x^2 + 4x^2 which makes 13x^2. im not to sure where i went wrong but when i typed the quadratic in wolframalpha i got some weird number so ive gone wrong somewhere
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    Your quadratic should be 13x^2 -12x -396. And this does factorise
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    (Original post by BuryMathsTutor)
    A certain student of mine will be doing some of these tomorrow.

    Thank you.
    My pleasure
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    (Original post by Notnek)
    Was your method the same as I hate maths method?
    I'm in year 13 and I've been doing puzzle-y problems like this to prepare for some exams, not to mention I've seen a similar problem to this before, but even then I still took more than 4 minutes to think it through, solve, and write up. Heck, I'd probably spend 4 minutes just trying to cube 28 without a calculator haha. I doubt the majority of grade 9 students could complete it let alone in four minutes (looks like "mark a minute" judging by marks and time given), but maybe I'm out of touch with GCSE these days.
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    Looks amazing, thanks!!!
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    (Original post by I hate maths)
    I'm in year 13 and I've been doing puzzle-y problems like this to prepare for some exams, not to mention I've seen a similar problem to this before, but even then I still took more than 4 minutes to think it through, solve, and write up. Heck, I'd probably spend 4 minutes just trying to cube 28 without a calculator haha. I doubt the majority of grade 9 students could complete it let alone in four minutes (looks like "mark a minute" judging by marks and time given), but maybe I'm out of touch with GCSE these days.
    Yeah I based it off a mark per minute but I think I should really give students 1h 30minutes since this is much more difficult
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    (Original post by TheEyeOfBaradDur)
    Looks amazing, thanks!!!
    You are very welcome
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    Are you participating in the upcoming UKMT IMOK?

    Question 15 is very similar in style to problems of Olympiad Maths e.g. integer equations and stuff. Enjoyed that question!
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    (Original post by BuryMathsTutor)
    A certain student of mine will be doing some of these tomorrow.

    Thank you.
    It looks like you have a “hard GCSE maths questions” rival

    I’ll also be stealing some of these questions for students to try. I’m not sure I’m mean enough to set them the whole paper though
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    (Original post by Notnek)
    It looks like you have a “hard GCSE maths questions” rival
    And he's giving them away!
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    (Original post by thekidwhogames)
    Are you participating in the upcoming UKMT IMOK?

    Question 15 is very similar in style to problems of Olympiad Maths e.g. integer equations and stuff. Enjoyed that question!
    Unfortunately not, I did not perform well because I absolutely hate the type of questions they have 😂. My friends did so I wish them the best for the next rounds
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    (Original post by Notnek)
    It looks like you have a “hard GCSE maths questions” rival

    I’ll also be stealing some of these questions for students to try. I’m not sure I’m mean enough to set them the whole paper though
    Feel free to distribute them as much as you would like
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    thank you so much, i will definately try it out!

    (also i think you accidentally spelt anyways wrong on your website, you spelt it "anywayways" lol)
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    (Original post by Y11_Maths)
    Yeah I based it off a mark per minute but I think I should really give students 1h 30minutes since this is much more difficult
    Well in fairness, if every grade 9 student could get full marks or nearly full marks on your paper, then the paper loses its meaning, so it might not be a bad thing to have harsh discriminator questions. But the only way I see a GCSE student successfully doing the problem in time is if they've had a bit of exposure to extra-curricular maths (or they possess extreme ingenuity), or if they finished the other questions easily and had more time to think on this one and do the tedious calculations.

    To make it more balanced you could choose a number with fewer factors than 60, say a prime number so it only produces one value of n, and just forego the x^3 which hardly tests maths. For example, n^2+59 would only be square for n=29. And n is large enough to discourage trial and error.
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    (Original post by soundgirl)
    thank you so much, i will definately try it out!

    (also i think you accidentally spelt anyways wrong on your website, you spelt it "anywayways" lol)
    That’s great! Also yes thanks for pointing that out 😂
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    (Original post by I hate maths)
    Well in fairness, if every grade 9 student could get full marks or nearly full marks on your paper, then the paper loses its meaning, so it might not be a bad thing to have harsh discriminator questions. But the only way I see a GCSE student successfully doing the problem in time is if they've had a bit of exposure to extra-curricular maths (or they possess extreme ingenuity), or if they finished the other questions easily and had more time to think on this one and do the tedious calculations.

    To make it more balanced you could choose a number with fewer factors than 60, say a prime number so it only produces one value of n, and just forego the x^3 which hardly tests maths. For example, n^2+59 would only be square for n=29. And n is large enough to discourage trial and error.
    I understand what you are saying and appreciate this feedback. When/If I make paper 2, I will make adjustments to the questions so they are more fitting. Thank you
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