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Mathematics · May / June 2025 · Paper 41 · Question 17

0580

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The question as text

56° 47° 12.1 cm 15.8 cm 9.6 cm Ñ A Ğ C NOT TO SCALE The diagram shows a quadrilateral AÑCĞ.

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  • 17(a)[3]

    10.4 or 10.42… [3]

    M2 for 9.6 2 + 12.1 2 −× 2 9.6 12.1 cos56 × × OR

    M1 for 9.62 + 12.12 − 2 × 9.6 ×12.1× cos 56

    A1 for 108.6 to 108.7

  • 17(b)[4]

    107.2 to 107.3 [4]

    B3 for 72.7[4…] OR − s i n47 − ×

    M3 for 180 sin 1 15.8 12. 1 sin47

    M2 for [sinBDC =] × 15.8 12.1 sin BDC sin47 =

    or M1 for 15.8 12.1

  • 17(c)[3]

    89.59 to 89.80… [3]

    M1 for 1 × 9.6 × 12.1 × sin56 2

    M1 for 1 × 15.8 × 12.1 × sin(133 – their 2 ∠BDC)

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