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O-LevelMathematicsGeometry4024/11 · Oct/Nov 2019 · Q154 Marks

In the diagram, three small triangles are shaded. Shade one more small triangle to give a diagram that has exactly one line of symmetry. [Figure X.X - diagram of a larger triangle made of smaller triangles]

  1. (a)In the diagram, three small triangles are shaded. Shade one more small triangle to give a diagram that has exactly one line of symmetry. [Figure X.X - diagram of a larger triangle made of smaller triangles][1]
  2. (b)(i)In the diagram, the three triangles and the circle form a figure that has rotational symmetry of order 3. Find x. [Figure X.X - diagram of a circle with inscribed/connected triangles and angles x and y][1]
  3. (b)(ii)Find y.[2]

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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] [Shaded diagram showing the top triangle, the two adjacent triangles below it, and the triangle directly below the top one, forming a Y-shape with a vertical line of symmetry.]
  2. [1] 46
  3. [2] 32
  4. M1 for 360-3 × 88 oe or for 360/3 - 88 oe

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2019 Paper 1 Variant 1, question 15.

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