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Date November 2019 Marks available 1 Reference code 19N.1.SL.TZ0.T_4
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Write down Question number T_4 Adapted from N/A

Question

Let the universal set, U , be the set of all integers x such that 1 x < 11 .
A , B and C are subsets of U .

A = { 1 2 3 4 6 8 }
B = { 2 3 5 7 }
C={13579}

Write down n ( B ) .

[1]
a.

Complete the following Venn diagram using all elements of U .

[4]
b.

Write down an element that belongs to ( A B ) C .

[1]
c.

Markscheme

4        (A1) (C1)

[1 mark]

a.

     (A1)(A1)(A1)(A1)  (C4)

Note: Award (A1) for 3 in the correct place. Award (A1) for 1 , 2 , 5 and 7 in the correct places. Award (A1) for 4 , 6 , 8 , 9 in the correct places. Award (A1) for 10 outside of the three circles and 11 not shown in the diagram.

If any entry is duplicated within its region, award at most (A3).

[4 marks]

b.

9          (A1)(ft)    (C1)

Note: Award (A1) for the correct element. Follow through from their Venn diagram in part (b). Award (A0) if additional incorrect elements are included in their answer.

[1 mark]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 4—Statistics and probability » SL 4.6—Combined, mutually exclusive, conditional, independence, prob diagrams
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Topic 4—Statistics and probability

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