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O-LevelMathematicsNumber4024/21 · Oct/Nov 2024 · Q45 Marks

E = {x: x is an integer 1 ≤ x ≤ 15} A = {x: x is a multiple of 3} B = {x: x is a factor of 30}

  1. (a)Write down the elements of A.[1]
  2. (b)Complete the Venn diagram. [Figure showing a Venn diagram with sets A and B][2]
  3. (c)x ∈ (A ∪ B)' Find the smallest value of x.[1]
  4. (d)Find n(A ∩ B') .[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [1] 3, 6, 9, 12, 15
  2. [2] B1 for Venn diagram with 1 or 2 errors, omissions or repeats
  3. [2] or for correct Venn diagram with (A∪B)' blank
  4. [1] FT their Venn diagram
  5. [1] FT their Venn diagram

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2024 Paper 2 Variant 1, question 4.

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