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Mathematics · Oct / Nov 2023 · Paper 42 · Question 7

0580

As printed in the paper

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  • 7(a)(i)[2]

    21.5 or 21.52... [2]

    M1 for tan(…) = 2.8 7.1 oe

  • 7(a)(ii)[3]

    10.2 or 10.17 to 10.18 [3]

    2 2.8 +

    M2 for 7.1 2 oe tan21

    or M1 for 2.8 = tan21 oe PR

  • 7(b)[3]

    76.5 or 76.52 to 76.53 [3]

    M2 for 16.7sin32 = [sin ] oe 9.1

    or M1 for 9.1 16.7 = M oe sin32 sin

  • 7(c)(i)[2]

    1 12.3 21.5sin(...) 2 × × = 62.89 or better 28.40 to 28.41… [2]

    M1 A1

  • 7(c)(ii)[3]

    12.2 or 12.17 to 12.18 [3]

    M2 for 12.3 21.5 – 2 12.3 21.5 cos28.4 2 + 2 × × × OR

    M1 for 12.32 + 21.52 – 2 × 12.3 × 21.5 × cos28.4

    A1 for 148 or 148.2 to 148.3

  • 7(c)(iii)[3]

    6.6[0] to 6.62 [3]

    M2 for 21.5cos28.4 – 12.3

    or M1 for 21.5cos28.4

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