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O-LevelAdditional MathematicsVectors in two dimensions4037/11 · May/June 2025 · Q15 Marks

Calculators must not be used in this paper.

  1. (a)Given that PQ= (-3, 7) and 4PR = (-2, 8), find RQ.[2]
  2. (b)The vectors a, b and c are such that a=ai+6j, b = 4i+βj and c = (2a+5β)i+20j, where a and β are scalars. Given that c = 3a-2b, find the values of a and β.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [B1 for] (1/4)(-2, 8) oe, soi
  2. [B2] (-2.5, 5) oe
  3. [M1] Equates like vectors at least once
  4. [A2] A1 for either value correct

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About this question

Topic
Vectors in two dimensions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 1 Variant 1, question 1.

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