| Date | May 2012 | Marks available | 2 | Reference code | 12M.1.sl.TZ2.2 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Complete | Question number | 2 | Adapted from | N/A |
Question
Consider the propositions p and q.
p: I take swimming lessons
q: I can swim 50 metres
Complete the truth table below.
Write the following compound proposition in symbolic form.
“I cannot swim 50 metres and I take swimming lessons.”
Write the following compound proposition in words.
\(q \Rightarrow \neg q \)
Markscheme
(A1)(A1)(ft) (C2)
Notes: Award (A1) for each correct column. Follow through in 4th column from their 3rd column.
[2 marks]
\(\neg q \wedge p\) (A1)(A1) (C2)
Note: Award (A1) for \(\neg q\) and p in any order, (A1) for \(\wedge\).
[2 marks]
If I can swim 50 metres (then) I do not take swimming lessons. (A1)(A1) (C2)
Note: Award (A1) for If… (then), (A1) for correct propositions in the correct order.
[2 marks]
Examiners report
This question was well answered by most of the candidates who could complete the truth table, write the proposition in symbolic form and write the given proposition in words, although the 'If ' was sometimes omitted. Where marks were lost on Question 2, it was generally in the second column of the truth table.
This question was well answered by most of the candidates who could complete the truth table, write the proposition in symbolic form and write the given proposition in words, although the 'If ' was sometimes omitted. Where marks were lost on Question 2, it was generally in the second column of the truth table.
This question was well answered by most of the candidates who could complete the truth table, write the proposition in symbolic form and write the given proposition in words, although the 'If ' was sometimes omitted. Where marks were lost on Question 2, it was generally in the second column of the truth table.
