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.

     (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]

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.