MAT Prep Thread - 2nd November 2016

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    Mathematics Admissions Test 2016 Preparation Thread
    Thank you to Gome44 for the thread inspiration

    Advice:

    \star It's worth studying C3 and C4 before beginning MAT preparation for a better understanding of the concepts behind trigonometry/calculus

    \star Start with the earliest papers you can find and ideally try and complete them all by the exam. The papers before 2007 are of an older style and do not follow the same specification as current papers but are good practice nonetheless

    \star The earlier papers are somewhat easier than current papers so be careful to not become complacent when scoring highly on early papers

    \star Aim to do as many past papers as possible as timed mocks, exam technique is essential to success in the MAT


    Resources:

    Exam Syllabus
    2015 MAT Preparation Thread
    MAT/AEA/STEP Past Papers
    Official Webpage
    MAT Preparation Powerpoint
    MAT Section B Tips PDF


    Exam Information/Layout:

    \star The exam is 150 minutes (2 hours 30 minutes) long

    \star There are 5 specific questions to be completed depending on your course

    \star The first question consists of 10 multiple choice questions all worth 4 marks each

    \star All answers to questions are submitted on plain paper

    \star Formulae sheets and calculators are not permitted

    \star Compasses are permitted


    Graph Sketching:
    Spoiler:
    Show
    \star Find the asymptotes of the curve

    \star Determine if and where the curve intercepts the coordinate axis

    \star Determine if there exist turning points/points of inflexion for the curve

    \star Find the limits (if they exist) of the curve
    Things to Look for:
    Spoiler:
    Show
    \star Opportunities to use the discriminant conditions for a quadratic equation, for example:

    \Diamond Any equation representing the x or y coordinate of the point of intersection of a tangent to a curve must have one repeat real root:
     \therefore b^2 - 4ac = 0

    \star It is also worth noting that the gradient of the tangent and the curve at the above point are the same

    \star The shortest distance between a point and a line is found by taking the normal to the line which passes through the point

    \star When asked to find the correct graph for a function, try substituting important values into the function to rule out possibilities. For example, 2013 Q1D.

    \star Be aware of useful inequalities:

     (a-b)^2 \geq 0 \Rightarrow a^2 + b^2 \geq 2ab
    tagged people who may be interested:
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    Mate. Idc bout mat bruv.
    Jk mat is quite nice, note that recent papers are much harder then previous ones so dont do the spec test and think oh yeh mat is easy i can easily get into oxford as it aint that easy.
    Quote me if u need help, had some nice alternatives to some questions.
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    (Original post by physicsmaths)
    Mate. Idc bout mat bruv.
    Jk mat is quite nice, note that recent papers are much harder then previous ones so dont do the spec test and think oh yeh mat is easy i can easily get into oxford as it aint that easy.
    Quote me if u need help, had some nice alternatives to some questions.
    Yeah I pretty much fell into that trap by thinking that 2015 would be like 2007 :lol:

    Reserved the second post so I can link into alternative/old paper solutions if and when they pop up
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    (Original post by physicsmaths)
    Mate. Idc bout mat bruv.
    Jk mat is quite nice, note that recent papers are much harder then previous ones so dont do the spec test and think oh yeh mat is easy i can easily get into oxford as it aint that easy.
    Quote me if u need help, had some nice alternatives to some questions.
    i need help
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    (Original post by Gome44)
    i need help
    Go on bruv.
    If ur ever stuck. Complete the square. Normllly wrks.


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    (Original post by physicsmaths)
    Go on bruv.
    If ur ever stuck. Complete the square. Normllly wrks.


    Posted from TSR Mobile
    https://www0.maths.ox.ac.uk/system/f...sheet42016.pdf

    question 4, i tried completing the square but it leads nowhere
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    (Original post by Gome44)
    https://www0.maths.ox.ac.uk/system/f...sheet42016.pdf

    question 4, i tried completing the square but it leads nowhere
    Square it bruv.
    0=0 qed.
    If ur serious, i dnt know none of this **** so no chance fr me mate.


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    (Original post by physicsmaths)
    Square it bruv.
    0=0 qed.
    If ur serious, i dnt know none of this **** so no chance fr me mate.


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    nah this is 4th year stuff dw about it
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    (Original post by Euclidean)
    Mathematics Admissions Test 2016 Preparation Thread
    Thank you to Gome44 for the thread inspiration

    Advice:

    \star It's worth studying C3 and C4 before beginning MAT preparation for a better understanding of the concepts behind trigonometry/calculus

    \star Start with the earliest papers you can find and ideally try and complete them all by the exam. The papers before 2007 are of an older style and do not follow the same specification as current papers but are good practice nonetheless

    \star The earlier papers are somewhat easier than current papers so be careful to not become complacent when scoring highly on early papers

    \star Aim to do as many past papers as possible as timed mocks, exam technique is essential to success in the MAT


    Resources:

    Exam Syllabus
    2015 MAT Preparation Thread
    MAT/AEA/STEP Past Papers
    Official Webpage


    Exam Information/Layout:

    \star The exam is 150 minutes (2 hours 30 minutes) long

    \star There are 5 specific questions to be completed depending on your course

    \star The first question consists of 10 multiple choice questions all worth 4 marks each

    \star All answers to questions are submitted on plain paper

    \star Formulae sheets and calculators are not permitted

    \star Compasses are permitted


    Graph Sketching:
    Spoiler:
    Show
    \star Find the asymptotes of the curve

    \star Determine if and where the curve intercepts the coordinate axis

    \star Determine if there exist turning points/points of inflexion for the curve

    \star Find the limits (if they exist) of the curve
    Things to Look for:
    Spoiler:
    Show
    \star Opportunities to use the discriminant conditions for a quadratic equation

    \star A tangent to a curve intersects a curve only once, and hence any equation representing the x or y coordinate of the point of intersection of a tangent to a curve must have one real root:
     \therefore b^2 - 4ac = 0

    \star The shortest distance between a point and a line is found by taking the normal to the line which passes through the point

    \star When asked to find the correct graph for a function, try substituting important values into the function to rule out possibilities. For example, 2013 Q1D.

    \star Be aware of useful inequalities:

     (a-b)^2 \geq 0 \Rightarrow a^2 + b^2 \geq 2ab
    tagged people who may be interested:
    Does a tangent to a curve really only intersect the curve once?????

    (y=x m8)
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    (Original post by Gome44)
    Does a tangent to a curve really only intersect the curve once?????

    (y=x m8)
    All curves except straight lines then I guess, I shall amend for the benefit of other pedantic users
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    (Original post by Euclidean)
    All curves except straight lines then I guess, I shall amend for the benefit of other pedantic users
    No i think thats still wrong bro.
    Write this, When it intersects a curve they have a double root. They meet and gradient at that point is also the same.


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    (Original post by Gome44)
    Does a tangent to a curve really only intersect the curve once?????

    (y=x m8)
    (Original post by physicsmaths)
    No i think thats still wrong bro.
    Write this, When it intersects a curve they have a double root. They meet and gradient at that point is also the same.


    Posted from TSR Mobile

    I couldn't find a good definition for a tangent to a curve, so I've scrapped the whole first part:

    (Original post by Euclidean)
    Things to Look for:
    Spoiler:
    Show

    \star Any equation representing the x or y coordinate of the point of intersection of a tangent to a curve must have one repeat real root:
     \therefore b^2 - 4ac = 0

    \star It is also worth noting that the gradient of the tangent and the curve at the above point are the same
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    (Original post by Euclidean)
    I couldn't find a good definition for a tangent to a curve, so I've scrapped the whole first part:

    [/spoiler][/center]
    You're assuming the curve is quadratic though, you can have tangents on non-polynomial or polynomial of degree >2 where the discriminant condition you've given doesn't apply, not is there just one repeated real root. You can have roots of multiplicity k.
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    (Original post by Zacken)
    You're assuming the curve is quadratic though, you can have tangents on non-polynomial or polynomial of degree >2 where the discriminant condition you've given doesn't apply, not is there just one repeated real root. You can have roots of multiplicity k.
    Sorry, I'll clarify now. I was referencing the point above it on the OP about using the discriminant condition for a quadratic.
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    (Original post by Euclidean)
    Sorry, I'll clarify now. I was referencing the point above it on the OP about using the discriminant condition for a quadratic.
    Ah, my bad.
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    Thanks for the thread Euclidean. Been doing a lot of non-maths related stuff, which has given me the nice balance I need. physicsmaths might have some questions for you.
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    (Original post by Marxist)
    Thanks for the thread Euclidean. Been doing a lot of non-maths related stuff, which has given me the nice balance I need. physicsmaths might have some questions for you.
    You want some questions?
    Have you seen imo 2016 paper, some very nice questions in there.


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    (Original post by physicsmaths)
    You want some questions?
    Have you seen imo 2016 paper, some very nice questions in there.


    Posted from TSR Mobile
    I'd love some questions if you have any. Let me know. At the moment, I want to finish off some modules - do some STEP questions I saved a while back to try out then do some stuff based from BMO. DrFrost resources seem to be very good these days - brushed up on my geometry a bit - looking much better than before - was totally lost... and I actually like geometry.
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    (Original post by Marxist)
    I'd love some questions if you have any. Let me know. At the moment, I want to finish off some modules - do some STEP questions I saved a while back to try out then do some stuff based from BMO. DrFrost resources seem to be very good these days - brushed up on my geometry a bit - looking much better than before - was totally lost... and I actually like geometry.
    Oh if u havent done bmo stuff yet then IMO stuff is a very long shot sorry for suggesting that. I just assume everyone is on the IMO hype like me.



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