Practice Logical Statement in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A declarative sentence that has exactly one definite truth value — either true (T) or false (F), never both and never neither.
A logical statement is any claim that can be judged definitively as true or false — questions, commands, and paradoxes are not statements.
Example 1
easyClassify each as a statement (proposition) or not: (a) 3 + 5 = 8 (b) 'Close the door.' (c) x > 2.
Example 2
mediumNegate the statement: 'All prime numbers are odd.'
Example 3
easyDetermine the truth value of each: (a) 7 is a prime number. (b) 0 is a natural number. (c) Every square is a rectangle.
Example 4
easyWhich of the following are logical statements: (a) '7 is prime', (b) 'Open the window', (c) 'What is 2+5?', (d) '3^2 = 10'?
Example 5
mediumClassify each as a statement or not: (a) '7 + 3 = 11' (b) 'Is 5 prime?' (c) 'Every square is a rectangle.'