Date | May 2010 | Marks available | 3 | Reference code | 10M.1.sl.TZ2.2 |
Level | SL only | Paper | 1 | Time zone | TZ2 |
Command term | Complete | Question number | 2 | Adapted from | N/A |
Question
Complete the truth table shown below.
State whether the compound proposition \((p \vee (p \wedge q)) \Rightarrow p\) is a contradiction, a tautology or neither.
Consider the following propositions.
p: Feng finishes his homework
q: Feng goes to the football match
Write in symbolic form the following proposition.
If Feng does not go to the football match then Feng finishes his homework.
Markscheme
(A1)(A1)(ft)(A1)(ft) (C3)
Note: Award (A1) for each correct column.
[3 marks]
tautology (A1)(ft) (C1)
Note: Follow through from their last column.
[1 mark]
\(\neg q \Rightarrow p\) (A1)(A1) (C2)
Note: Award (A1) for \(\neg q\) and p in correct order, (A1) for \( \Rightarrow \) sign.
[2 marks]
Examiners report
The truth table was very well answered and where the table was incorrect a follow through mark could be given for part (b) for a correct answer resulting from their final column. Some candidates appeared unsure of the concept of a tautology.
The truth table was very well answered and where the table was incorrect a follow through mark could be given for part (b) for a correct answer resulting from their final column. Some candidates appeared unsure of the concept of a tautology.
Nearly all candidates could write the proposition in part (c) in symbolic form.