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O-LevelMathematicsNumber4024/22 · May/June 2024 · Q66 Marks

In the Venn diagram, shade the region represented by P U Q. [Figure 6.1]

  1. (a)In the Venn diagram, shade the region represented by P U Q. [Figure 6.1][1]
  2. (b)Use set notation to describe the shaded region in the Venn diagram. [Figure 6.2][1]
  3. (c)(i)E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {x: x is a factor of 40} B = {x : x is an odd number} Complete the Venn diagram. [Figure 6.3][2]
  4. (c)(ii)List the elements of A' ∩ B.[1]
  5. (c)(iii)One element of E is chosen at random. Find the probability that this element is in A ∩ B.[1]

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Mark scheme

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

  1. [1] (P U Q shaded)
  2. [1] (X ∩ Y)' oe
  3. [2] (Venn diagram with 1 or 2 errors, omissions, or repeats)
  4. B1 for Venn diagram with 1 or 2 errors, omissions, or repeats
  5. [1] 3 7 9
  6. FT their Venn diagram
  7. [1] 2/10 oe

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, May/June 2024 Paper 2 Variant 2, question 6.

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