O-LevelMathematicsNumber4024/12 · Oct/Nov 2016 · Q143 Marks
In the Venn diagram, shade the region which represents the subset (A ∩ B') ∪ C . [Figure 14.1]
- (a)In the Venn diagram, shade the region which represents the subset (A ∩ B') ∪ C . [Figure 14.1][1]
- (b)In a group of 36 students, 23 study Spanish, 17 study French, 4 study neither Spanish nor French. By drawing a Venn diagram, or otherwise, find the number of students who study both Spanish and French.[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 2016). The mark or mark type is shown in brackets.
- [1] (a) [Image of Venn diagram with region (A ∩ B') ∪ C shaded]
- [2*] (b) 8
- M1 for 23 + 17 - (36 – 4)
- or M1 for 23-x+x+17-x+4=36 oe
- or B1 for S ∩ F' = 15 or F∩ S' = 9
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