| Date | November 2010 | Marks available | 2 | Reference code | 10N.1.sl.TZ0.9 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Deduce | Question number | 9 | Adapted from | N/A |
Question
Consider the universal set \(U = \{ x \in \mathbb{N}|3 < x < 13\} \), and the subsets \(A = \{ {\text{multiples of 3}}\} \) and \(B = \{ 4,{\text{ }}6,{\text{ }}12\} \).
List the elements of the following set.
A
List the elements of the following set.
\(A \cap B'\)
Write down one element of \((A \cup B)'\).
One of the statements in the table below is false. Indicate with an X which statement is false. Give a reason for your answer.
Markscheme
6, 9, 12 (A1) (C1)
[1 mark]
9 (A1)(ft) (C1)
Note: Follow through from their part (a)(i).
[1 mark]
any element from {5, 7, 8, 10, 11} (A1)(A1)(ft) (C2)
Note: Award (A1)(ft) for finding \((A \cup B)\), follow through from their A.
Award full marks if all correct elements of \((A \cup B)'\) are listed.
[2 marks]
\(15 \notin U\) (R1)(A1) (C2)
Notes: Accept correct reason in words.
If the reason is incorrect, both marks are lost.
Do not award (R0)(A1).
[2 marks]
Examiners report
The question was not well answered by the majority of the candidates. Many did not identify the universal set correctly and so took 3 to be a member of this set. This affected their answers in a)(i) and a)(ii).
The question was not well answered by the majority of the candidates. Many did not identify the universal set correctly and so took 3 to be a member of this set. This affected their answers in a)(i) and a)(ii).
Not many students answered (b) correctly. Some listed all correct elements of the given set instead of just one, which shows that they did not read the question carefully.
Although many candidates could indicate which statement in the table in c) was false, often they were unable either to identify or articulate a correct reason for it.
