O-LevelMathematicsProbability4024/21 · Oct/Nov 2015 · Q47 Marks
Shade the subset (A ∩ B) U C .
- (a)Shade the subset (A ∩ B) U C .[1]
- (b)Use set notation to describe the subset shaded in the diagram.[1]
- (c)(i)& = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } P = {x: x is an odd number } Q = { x : x is a square number } Write the members of & in the correct regions on the Venn diagram.[2]
- (c)(ii)State n(Q').[1]
- (c)(iii)A number, m, is chosen at random from & . Find the probability that m is a member of P∩Q'.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.
- [1] Correct shade
- [1] E∩(DUF) or (DUF)'∩ E
- Or E∩ D' ∩ F'
- [2] B1 for 8 or 9 numbers correctly placed or for 10 numbers correctly placed with one additional number
- or for 1, 3, 4, 5, 7, 9 seen correctly positioned and no numbers positioned incorrectly
- [1ft] 7
- [2ft] 3/10 oe
- B1 for their 3 seen as numerator of a fraction soi
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