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Mathematics · Oct / Nov 2022 · Paper 42 · Question 1

0580

As printed in the paper

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

    75 [2]

    M1 for 45 3 [× k] where k is 1, 5 or 8

  • 1(a)(ii)[2]

    2.332 oe [2]

    M1 for 2.65 [million] × 12 1 − oe 100

    or B1 for 0.318[million] seen

  • 1(a)(iii)[2]

    23 280 cao [2]

    M1 for 6.25 100 × = x 1455 or better

  • 1(a)(iv)[3]

    1450 or 1449 to 1450 [3]

    3 4

    M2 for 1631 = k 1 100 + oe or better 3 4 +

    or B1 for 1 100 oe seen n 4

    or M1 for 1631 = k 1 100 + , n > 0 oe

  • 1(b)(i)[1]

    7 x oe 2 [1]

  • 1(b)(ii)[2]

    x + 12 7 x – 26 oe 2 final answer [2]

    FT their (b)(i)

    B1 for x + 12

    B1 for their 7 x – 26 2

  • 1(b)(iii)[4]

    7 x 2 − 26 = 3(x + 12) oe leading to 124 [4]

    M1dep for 7 x − = 3 × their (x + 12) oe their 26 2 M2dep for isolating x terms, dep on eqn with term in x and constant on each side and with a bracket or fraction. or M1dep for correctly removing brackets or dealing with fractions, dep on eqn with term in x and constant on each side and with a bracket or fraction.

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