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Date November 2013 Marks available 2 Reference code 13N.1.sl.TZ0.3
Level SL only Paper 1 Time zone TZ0
Command term Complete Question number 3 Adapted from N/A

Question

Consider the propositions

     \(p\): I have a bowl of soup.

     \(q\): I have an ice cream.

Write down, in words, the compound proposition \(\neg p \Rightarrow q\).

[2]
a.

Complete the truth table.


[2]
b.

Write down, in symbolic form, the converse of \(\neg p \Rightarrow q\).

[2]
c.

Markscheme

If I do not have a bowl of soup then I have an ice cream.     (A1)(A1)     (C2)

 

Notes: Award (A1) for If… then…

     Award (A1) for correct statements in correct order.

 

[2 marks]

a.

     (A1)(A1)(ft)     (C2)

 

Note: Follow through from third column to fourth column.

 

[2 marks]

b.

\(q \Rightarrow \neg p\)     (A1)(A1)     (C2)

 

Notes: Award (A1) for \( \Rightarrow \).

     Award (A1) for \(q\) and \(\neg p\) in correct order.

     Accept \(\neg p \Leftarrow q\).

 

[2 marks]

c.

Examiners report

Most candidates were able to write the compound proposition in words, however many were not able to write the converse in symbolic form. While they were able to fill in the third column of the truth table, many were unable to complete the fourth column correctly.

a.

Most candidates were able to write the compound proposition in words, however many were not able to write the converse in symbolic form. While they were able to fill in the third column of the truth table, many were unable to complete the fourth column correctly.

b.

Most candidates were able to write the compound proposition in words, however many were not able to write the converse in symbolic form. While they were able to fill in the third column of the truth table, many were unable to complete the fourth column correctly.

c.

Syllabus sections

Topic 3 - Logic, sets and probability » 3.3 » Truth tables: concepts of logical contradiction and tautology.
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