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0580/33 Oct/Nov 2024, Question 3: Lines of Symmetry

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 9 marks

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The question, in short

Answer six parts about a wedding: symmetry of a rectangular invitation, fraction of children, meal end time, rain probability, and staff ages.

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

Part (a) · 2 marks

Draw all lines of symmetry on the given rectangle.

  1. 1Draw one line joining the midpoints of the two long sides
  2. 2Draw one line joining the midpoints of the two short sides (no diagonals)

Answer2 correct lines only

Part (b) · 2 marks

With 98 adults and 56 children, work out the children's share of all people as a simplified fraction.

  1. 1Total people = 98 + 56 = 154
  2. 2Fraction of children = 56/154
  3. 3Divide top and bottom by 14: 4/11

Answer4/11

Part (c) · 1 mark

A meal beginning at 13 15 lasts 2 hours 50 minutes; determine its finishing time.

  1. 113 15 + 2 h = 15 15, + 50 min
  2. 2= 16 05

Answer16 05

Part (d) · 1 mark

Given a 0.12 chance of rain, work out the chance that rain does not occur.

  1. 11 − 0.12 = 0.88

Answer0.88

Part (ei) · 2 marks

Place the twelve listed staff ages into the stem-and-leaf diagram with stems 1 to 4.

  1. 1In order: 16 17 17 24 25 28 29 31 33 39 40 48
  2. 21 | 6 7 7
  3. 32 | 4 5 8 9
  4. 43 | 1 3 9
  5. 54 | 0 8

Answer| 1 | 6 7 7 | | 2 | 4 5 8 9 | | 3 | 1 3 9 | | 4 | 0 8 |

Part (eii) · 1 mark

Using the twelve listed staff ages, calculate the range.

  1. 1Range = 48 − 16 = 32

Answer32

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Also searched as: 0580/33/O/N/24 · 0580_w24_qp_33 · 0580 w24 33 · question 3.
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