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Mathematics · Oct / Nov 2020 · Paper 22 · Question 22

0580

As printed in the paper

The question as text

O M A B b a C NOT TO SCALE The diagram shows a triangle OAB and a straight line OAC. OA : OC = 2 : 5 and M is the midpoint of AB. OA a = and OB b = . Find, in terms of a and b, in its simplest form

Read automatically from the paper; the printed page above is exact.

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

    –a + b [1]

  • 22(b)[3]

    2a – 1 2 b [3]

    B2 for answer 2a + pb or qa – 1 2 b q ≠ 1 2 or correct unsimplified answer in terms of a and b 3 5

    or M1 for AC = a or OC = a or 2 2 correct route If 0 scored

    SC1 for answer a + 1 2 b

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