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O-LevelMathematicsVectors and transformations4024/11 · May/June 2015 · Q244 Marks

The diagram shows triangles A and B. [Figure 24]

  1. (a)Triangle A is mapped onto triangle B by an enlargement. Find the scale factor, and the centre, of this enlargement.[2]
  2. (b)Triangle A is mapped onto triangle C by a shear, with invariant line the x-axis and shear factor 2. On the diagram, draw triangle C.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [2] scale factor = -2 and centre = (0, 2) soi
  2. B1 for either
  3. [2] triangle with vertices (3, 1), (4, 1), (7, 3)
  4. C1 for two correct vertices, or for triangle with vertices (1, 3), (1, 5), (2, 5)

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2015 Paper 1 Variant 1, question 24.

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