| Date | May 2014 | Marks available | 3 | Reference code | 14M.1.sl.TZ1.3 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | Complete | Question number | 3 | Adapted from | N/A |
Question
Consider the three propositions p, q and r.
p: The food is well cooked
q: The drinks are chilled
r: Dinner is spoilt
Write the following compound proposition in words.
\[(p \wedge q) \Rightarrow \neg r\]
[3]
a.
Complete the following truth table.
[3]
b.
Markscheme
If the food is well cooked and the drinks are chilled then dinner is not spoilt. (A1)(A1)(A1) (C3)
Note: Award (A1) for “If…then” (then must be seen), (A1) for the two correct propositions connected with “and”, (A1) for “not spoilt”.
Only award the final (A1) if correct statements are given in the correct order.
[3 marks]
a.
(A1)(A1)(A1)(ft) (C3)
Notes: Award (A1) for each correct column.
The final column must follow through from the previous two columns.
[3 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.
Syllabus sections
Topic 3 - Logic, sets and probability » 3.3 » Truth tables: concepts of logical contradiction and tautology.
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