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Date November 2013 Marks available 1 Reference code 13N.1.sl.TZ0.2
Level SL only Paper 1 Time zone TZ0
Command term List Question number 2 Adapted from N/A

Question

U is the set of positive integers less than or equal to 10.

A, B and C are subsets of U.

     A={even integers}

     B={multiples of 3}

     C={6, 7, 8, 9}

List the elements of A.

[1]
a.

List the elements of B.

[1]
b.

Complete the Venn diagram with all the elements of U.


[4]
c.

Markscheme

2,4,6,8,10     (A1)     (C1)

 

Note: Do not penalize the use of { }.

 

[1 mark]

a.

3,6,9     (A1)     (C1)

 

Note: Do not penalize the use of { }.

     Follow through from part (a) only if their U is listed.

 

[1 mark]

b.

   
 (A1)(ft)(A1)(ft)(A1)(ft)(A1)(ft)     (C4)

 

Notes: Award (A1)(ft) for the correct placement of 6.

     Award (A1)(ft) for the correct placement of 8 and 9 and the empty region.

     Award (A1)(ft) for the correct placement of 2, 4, 3, 7, and 10.

     Award (A1)(ft) for the correct placement of 1 and 5.

     If an element is in more than one region, award (A0) for that element.

     Follow through from their answers to parts (a) and (b).

 

[4 marks]

c.

Examiners report

This question was done well by most candidates. The most frequent error was to omit the placement of 1 and 5 or to include 0 in the set of even integers.

a.

This question was done well by most candidates. The most frequent error was to omit the placement of 1 and 5 or to include 0 in the set of even integers.

b.

This question was done well by most candidates. The most frequent error was to omit the placement of 1 and 5 or to include 0 in the set of even integers.

c.

Syllabus sections

Topic 1 - Number and algebra » 1.0 » Prime numbers, factors and multiples.

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