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4024/11 Oct/Nov 2024, Question 4: Lines of Symmetry

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Shade one extra small square on a 5 by 5 grid so the completed pattern has a single line of symmetry, then state the order of rotational symmetry of a regular hexagon shown divided into six triangles.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Add shading to one more small square in the 5 by 5 grid so that the whole shaded pattern has exactly one line of symmetry.

  1. 1Line of symmetry: the diagonal from top left to bottom right
  2. 2(row 1, col 4) reflects to (row 4, col 1); (row 3, col 5) ↔ (row 5, col 3); (row 2, col 2) is on the line
  3. 3Shade row 4, column 1

AnswerThe square in row 4, column 1 (4th row from the top, 1st column from the left) shaded

Part (b) · 1 mark

For the regular hexagon split into six triangles from its centre, give the order of its rotational symmetry to complete the sentence.

  1. 1The pattern looks the same after turns of 120°
  2. 2360 ÷ 120 = 3, so order 3

Answer3

Stuck on a step? Read the free lesson: Lines of Symmetry

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Also searched as: 4024/11/O/N/24 · 4024_w24_qp_11 · 4024 w24 11 · question 4.
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