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Mathematics · May / June 2024 · Paper 42 · Question 10

0580

As printed in the paper

Show the answer and mark scheme
  • 10(a)(i)[2]

    (4.5, −1) [2]

    B1 for each

  • 10(a)(ii)[3]

    6.71 or 6.708... [3]

    M2 for (6 – 3)2 + (2 – – 4)2 oe or better

    or M1 for [–]( ) and [–]( ) − −− 6 3 2 4 oe or for ([–]3)2 and ([–]6)2 oe

  • 10(b)(i)[2]

    4 − 3 [1]

    =− + 2

    M1 for 3 y 4 x 12 or 4 12 + − [= 0] or better seen x y 3 3

  • 10(b)(ii)[2]

    (0, 4) [2]

    B1 for each or for y = 4 not in coordinate form

  • 10(b)(iii)[3]

    3 1 = + [ y ] 4 x final answer 2 [3]

    M1 for gradient 3 − 1 4 or their(b)(i) oe or better

    M1 for (6, 5) substituted into y = 3 4 x + c or y = their mx + c oe

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