| Date | November 2007 | Marks available | 2 | Reference code | 07N.1.sl.TZ0.2 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | List | Question number | 2 | Adapted from | N/A |
Question
The universal set U is the set of integers from 1 to 20 inclusive.
A and B are subsets of U where:
A is the set of even numbers between 7 and 17.
B is the set of multiples of 3.
List the elements of the following sets:
A,
List the elements of the following sets:
B,
List the elements of the following sets:
\(A \cup B\) ,
List the elements of the following sets:
\(A \cap B'\) .
Markscheme
A = 8, 10, 12, 14, 16 (A1) (C1)
[1 mark]
B = 3, 6, 9, 12, 15, 18 (A1) (C1)
[1 mark]
\(A \cup B\) = 3, 6, 8, 9,10,12,14,15,16,18 (A2)(ft)
Award (A1) only if a single element is missing or a single extra element is present, (A0) otherwise. (C2)
[2 marks]
\(B'\) = 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20 (A1)(ft)
\(A \cap B'\) = 8, 10, 14, 16 (A1)(ft) (C2)
[2 marks]
Examiners report
Parts (a) and (b) were well done although some candidates added 1 as a multiple of 3.
Parts (a) and (b) were well done although some candidates added 1 as a multiple of 3.
Part (c) was reasonably well attempted although some candidates found the intersection instead of the union.
Part (d) was successfully completed by those candidates who managed to find the complement of B correctly. If they had not shown the set containing the complement of B in the working they could not be awarded the method mark.
