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Mathematics · Oct / Nov 2023 · Paper 11 · Question 1

YMA01

As printed in the paper

The question as text

1. Given that 3 3 y 5 x 7 x x > 0 2 x find, in simplest form,

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 1(a)[3]

    3

    3

    3

    2

    y

    =

    5

    x

    +

    −

    7

    x

    =

    5

    x

    +

    3

    x

    −

    −

    7

    x

    x

    2

    d

    y

    15

    2

    6

    3

    7

    =

    x

    −

    x

    −

    −

    d

    x

  • 1(b)[2]

    2

    d

    y

    =

    30

    x

    +

    18

    x

    −

    4

    d

    x

    2

    Do not be concerned by the labelling of their answers in part (a) or part (b)

    (a)

    ...

    3

    →

    ...

    2

    ...

    −

    2

    →

    ...

    −

    3

    ±

    7

    →±

    M1:

    Decreases the power by 1 on one of the terms

    x

    x

    x

    x

    x

    The index does not have to be processed. e.g.

    ...

    3

    →

    ...

    x −

    3 1

    x

    A1:

    Two correct unsimplified terms (indices must be processed). May be seen on different lines

    or listed. Condone

    7x as an unsimplified term. Do not withhold this mark if there is a

    0

    present.

    A1:

    or simplified equivalent. Condone any spurious notation around the

    15

    x

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