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Maths questions - A level difficulty

Discussion in 'Fun and Games' started by jahow95, May 31, 2014.

  1. jahow95

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    Not been in school but had a bit of a craving for some mental (mathematical) stimulation recently. Thought I'd post a question on here that'd need a bit of paper for. The following one is done without a calculator.
    I was thinking the next poster could post their own Q once they get the answer - no spoilers.

    I bet nobody else gives a crap haha.
    C+P from a UK exam paper 2012



    The line L1
    has equation 4y + 3 = 2x
    The point A (p, 4) lies on L1
    (a) Find the value of the constant p.
    (1)
    The line L2
    passes through the point C (2, 4) and is perpendicular to L1
    (b) Find an equation for L2
    giving your answer in the form ax + by + c = 0,
    where a, b and c are integers.
    (5)
    The line L1
    and the line L2
    intersect at the point D.
    (c) Find the coordinates of the point D.
    (3)
    (d) Show that the length of CD is (3/2)(5^[1/2])
    (3)
    A point B lies on L1
    and the length of AB = 80)
    The point E lies on L2
    such that the length of the line CDE = 3 times the length of CD.
    (e) Find the area of the quadrilateral ACBE



    EDIT - I dont know, I'd prefer to discuss answers after... any way to notify about spoilers?
     
    #1 jahow95, May 31, 2014
    Last edited: May 31, 2014
  2. Owl333

    Owl333 Guest

    So we post a math question right? Here's one from my textbook: Determine the perimeter and the area of the rectangle with vertices C(2,-3),D(-2,-3),E(-2,-6),F(2,-6).
     
  3. Argentwing

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    Not too terrible. You use the distance formula (or draw it out and count spaces since it lines up) to find the lengths of all sides of the rectangle, add them together for the perimeter, and multiply two adjacent sides for the area. I'm not going to calculate it out, but that's how you do it :stuck_out_tongue_closed_eyes:

    As for the one in the first post, I was tempted to work at it, but not tempted enough lol.
     
  4. CandyKing

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    Owl you better not be trying to get people to do your homework, cause that will be genius. :icon_bigg
     
  5. Wuggums47

    Wuggums47 Guest

    I'm struggling to think of a good one right now, but I love solving systems of equations with 4+ variables. It's not too hard, but it's a lot of fun.
     
  6. Young Blood

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    AHHH MATH!! I literally can not do math. Sucks, but what are you gonna do...