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O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2019 · Q235 Marks

In the diagram, O B = (¹²₆) [Figure X.X]

  1. (a)Show that the gradient of OB = ¹/₂.[1]
  2. (b)(i)AP is parallel to OB and A P = (ᵖ₂). Find the value of p.[1]
  3. (b)(ii)Write down the value of AP/OB.[1]
  4. (c)(i)AQ is perpendicular to OB. Write down the gradient of AQ.[1]
  5. (c)(ii)Given that A Q = (³_q_), find the value of q.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [1] (a) Using gradient = 6/12
  2. [1] (b)(i) 4
  3. [1] (b)(ii) 1/3 oe
  4. [1] (c)(i) -2
  5. [1] (c)(ii) -6 FT 3xtheir(c)(i)

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2019 Paper 1 Variant 2, question 23.

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