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O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2023 · Q76 Marks

Shape A and triangles P and Q are drawn on a centimetre square grid. [Figure 7]

  1. (a)Describe fully the single transformation that maps triangle P onto triangle Q.[3]
  2. (b)Shape B is an enlargement of shape A. The centre of enlargement is (5, 5). The area of shape B is 27 cm². Draw shape B on the grid.[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

  1. [3] Rotation
  2. 90° clockwise oe
  3. [centre] (0, 0)
  4. B1 for each
  5. [3] Shape drawn at
  6. (-7, 2), (-1, 2), (-1, -4),
  7. (-4, -4), (-4, -1), (-7, -1)
  8. B2 for correct size and orientation, wrong centre
  9. or 5 correct vertices plotted
  10. or B1 for length scale factor = 3 soi
  11. or for correct enlargement centre (5, 5) with scale factor 2 or 0.5

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, Oct/Nov 2023 Paper 1 Variant 2, question 7.

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