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O-LevelMathematicsVectors and transformations4024/11 · May/June 2019 · Q216 Marks

Shapes A and B are drawn on the grid. [Figure of a grid with shape A and shape B drawn]

  1. (a)Draw the image of shape A after a translation with vector (-4 / 1).[1]
  2. (b)Draw the image of shape A after an enlargement with scale factor -1/2 and centre (1, 0).[2]
  3. (c)(i)Shape A is mapped onto shape B by the single transformation P. Describe fully the transformation P.[2]
  4. (c)(ii)Find the matrix representing transformation P.[1]

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Mark scheme

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

  1. [1] Trapezium drawn with vertices (-3,-1) (-1,-1) (1,-3) (-3,-3)
  2. [2] Trapezium drawn with vertices (1,1) (1,2) (0,1) (-1,2) B1 for correct size and orientation, wrong centre or for correct enlargement scale factor -1/2 centre (1, 0).
  3. [2] Reflection in the x-axis or y = 0 B1 for either
  4. [1] (1 0 / 0 -1)

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, May/June 2019 Paper 1 Variant 1, question 21.

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