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O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2025 · Q114 Marks

Shape A and shape B are drawn on the grid. [Figure: Cartesian grid with Shape A (triangle at (1,2), (1,3), (2,3)) and Shape B (triangle at (-4,-1), (-4,-2), (-3,-2))]

  1. (a)Describe fully the single transformation that maps shape A onto shape B.[2]
  2. (b)Draw the image of shape A after a rotation of 90° clockwise about the origin.[2]

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Mark scheme

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

  1. [2] (a) Translation ((-5), (-4))
  2. [2] (a) B1 for each
  3. [2] (b) Shape at (2, -1), (3, -1), (3, -2), (2, -3) (vertices of the rotated image)
  4. [2] (b) B1 for correct size and orientation but wrong position
  5. [2] (b) SC1 for correct anticlockwise rotation about (0,0)

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2025 Paper 1 Variant 2, question 11.

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