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O-LevelMathematicsNumber4024/22 · May/June 2021 · Q57 Marks

Use set notation to describe the subset shaded in the Venn diagram. [Figure 5.A]

  1. (a)Use set notation to describe the subset shaded in the Venn diagram. [Figure 5.A][1]
  2. (b)(i)E = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } P = { x : x is a factor of 36 } Q = { x :x is a multiple of 4 } R = {x: 3≤x≤6} Complete the Venn diagram. [Figure 5.B][3]
  3. (b)(ii)List the elements of P∩ (QUR)'.[1]
  4. (b)(iii)Find n(PUQ).[1]
  5. (b)(iv)Use set notation to complete the statement. Ø[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [1] (a) (AUB)' oe
  2. [3] (b)(i) B2 for Venn diagram with 1 or 2 errors, omissions or repeats or for correct Venn diagram with (PUQUR)'blank or B1 for Venn diagram with 3 or 4 errors, omissions or repeats or for correct Venn diagram with (PUQUR)' blank and one further error
  3. [1] (b)(ii) 2,9 FT their diagram
  4. [1] (b)(iii) 7
  5. [1] (b)(iv) P'OQOR oe

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2021 Paper 2 Variant 2, question 5.

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