Logic practice

Logic truth table review worksheets

Translate four verbal statements into expressions and complete one combined truth table. Choose an operator and practice every combination of negated and unnegated atoms.

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Translate each numbered statement. Keep the statement order when filling the combined table.

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Follow the numbered statements

Every set includes all four ways to negate or leave unchanged the two atoms. The statements and their result columns keep the same numbered order.

Choose one operator at a time. Exclusive OR is stated as either proposition being true, but not both; inclusive OR also allows both to be true.

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Learning objective

What this activity builds

Connect a verbal statement, its symbolic translation and the corresponding truth-table column.

Worked example

For p = T and q = F, which is true: ¬p AND q or p AND ¬q?

p AND ¬q is true; ¬p AND q is false.

The first expression becomes F AND F. The second becomes T AND T. A negation belongs to the particular atom it precedes.

Teaching notes

Make the practice count

  • Underline the exact clause that is negated.
  • Check translations before filling table values.
  • Track statement numbers rather than assuming a fixed expression order.
  • Compare inclusive OR and exclusive OR using the same input row.

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Math SheetNameScore/ 5TeacherDateLogic Truth Table ReviewTranslate each statement, then complete the combined truth table.T = True; F = FalseTranslationp: a library book is overdue; q: a reminder is sent1. (a library book is overdue and not (a reminder is sent))2. (not (a library book is overdue) and not (a reminder is sent))3. (a library book is overdue and a reminder is sent)4. (not (a library book is overdue) and a reminder is sent)pqStatement 1Statement 2Statement 3Statement 4TTTFFTFFmath-sheet.comPage 1 / 1

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