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Mathematics · May / June 2024 · Paper 21 · Question 7

0580

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The question as text

J L K NOT TO SCALE 12.8 cm 12.8 cm The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle with JK = JL = 12.8 cm.

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  • 7(a)[3]

    146 or 146.2 to 146.3 [3]

    M1 for 1 2 × × 12.8 12.8 2 1 12.8 × π ×

    M1 for 2 2

  • 7(b)[4]

    51[.0] or 51.00 to 51.01… [4]

    M1 for 1 × π × 1 2.8 2 or 12.8 2 + 2

    M2 for 12.8 12.8 sin 45 oe 2 + 2

    or M1 for 12.8 12.8 oe 12.8 = or sin 45 oe KL

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