| Date | May 2013 | Marks available | 2 | Reference code | 13M.1.sl.TZ1.2 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | List | Question number | 2 | Adapted from | N/A |
Question
\(U = \{ x|x{\text{ is an integer, }}2 < x < 10\}\)
A and B are subsets of U such that A = {multiples of 3}, B = {factors of 24}.
List the elements of
(i) U ;
(ii) B .
Write down the elements of U on the Venn diagram.
Write down \(n (A \cap B)\).
Markscheme
(i) 3, 4, 5, 6, 7, 8, 9 (A1)
(ii) 3, 4, 6, 8 (A1)(ft) (C2)
Notes: Follow through from part (a)(i).
[2 marks]
(A1)(ft) for their 3, 6
(A1)(ft) for their 4, 8, 9
(A1)(ft) for their 5, 7 (A1)(ft)(A1)(ft)(A1)(ft) (C3)
Note: Follow through from their universal set and set B in part (a).
[3 marks]
2 (A1)(ft) (C1)
Note: Follow through from their Venn diagram.
[1 mark]
Examiners report
Many candidates were unable to write down correctly the universal set which was integers between \(2\) and \(10\). Some candidates did not read the direction “on the Venn diagram” so complained of lack of space for their answer. It is important candidates read the directions carefully. Many candidates listed the elements of the intersection rather than answering the question to specify the number of elements. The empty set for \(\left( {A \cup B} \right)'\) was awarded a maximum of 2 marks as this has simplified the problem.
Many candidates were unable to write down correctly the universal set which was integers between \(2\) and \(10\). Some candidates did not read the direction “on the Venn diagram” so complained of lack of space for their answer. It is important candidates read the directions carefully. Many candidates listed the elements of the intersection rather than answering the question to specify the number of elements. The empty set for \(\left( {A \cup B} \right)'\) was awarded a maximum of 2 marks as this has simplified the problem.
Many candidates were unable to write down correctly the universal set which was integers between \(2\) and \(10\). Some candidates did not read the direction “on the Venn diagram” so complained of lack of space for their answer. It is important candidates read the directions carefully. Many candidates listed the elements of the intersection rather than answering the question to specify the number of elements. The empty set for \(\left( {A \cup B} \right)'\) was awarded a maximum of 2 marks as this has simplified the problem.
