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Mathematics · May / June 2023 · Paper 11 · Question 4

YMA01

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The question as text

4. In this question you must show all stages of your working.

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

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  • 4(a)[4]

    3

    5

    x

    2

    +

    x

    3

    5

    x

    2

    +

    x

    2

    =

    =

    y

    1

    8

    3

    x

    . .

    .

    x

    3

    1

    3

    1

    2

    −

    −

    5

    x

    3

    x

    2

    3

    =

    +

    2

    2

    5

    1

    5

    7

    =

    +

    x

    3

    x

    6

    2

    2

  • 4(b)[3]

    d

    y

    2

    1

    =

    ...

    +

    ...

    x

    3

    x

    6

    d

    x

    d

    y

    25

    2

    7

    1

    =

    x

    3

    +

    x

    6

    d

    x

    6

    12

    Notes:

    (a)

    M1: Converts the radicals into powers of x, with at least one power correct. E.g.

    x

    3

    →

    1

    x →

    ..

    .x

    8

    3

    3

    M1: Correct subtraction index law seen used at least once. May be implied.

    5

    2

    ...

    2

    ...

    x

    x

    x

    3

    x

    q

    It is for

    →

    →

    ...

    x

    2

    −

    p

    or

    →

    →

    ...

    x

    q

    −

    p

    8

    ...

    x

    p

    8

    ...

    x

    p

    3

    x

    3

    x

    Indices do not need to be processed for this mark.

    5

    5

    1

    7

    A1: One term correct (coefficient and index) or both indices correct. E.g.

    2 x or

    2 x or

    3

    6

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