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You can create printable tests and worksheets from these Grade 10 Logical Thinking questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Which of the following is the biconditional statement for the conditional statement below?

If today is Saturday or Sunday, then it is the weekend.
1. It is the weekend if and only if it is Saturday or Sunday.
2. If is not the weekend, then it not Saturday or Sunday.
3. If it is not Saturday or Sunday, then it is not the weekend.
4. It is not Saturday or Sunday if and only if it is the weekend.
Which of the following is logically equivalent to $p harr q ?$
1. $p rarr q or q rarr p$
2. $p rarr q if q rarr p$
3. $p rarr q and q rarr p$
4. $p rarr q " when " q rarr p$
Which of the following represents the biconditional?
1. $p larr q$
2. $p harr q$
3. $p rarr q$
4. $p rarr ~q$
On Wednesdays we wear pink.
It is Wednesday.
Therefore
1. we are wearing pink.
2. we are not wearing pink.
3. we don't have to wear pink.
4. there is not enough information given.
Determine the inverse of the statement: if p, then q.
1. If ~q, then p
2. If p, then ~q
3. If ~p, then q
4. If ~p, then ~q
Give the contrapositive to the following statement: If I read a lot of books, I will get smarter.
1. If I get smarter, I read a lot of books.
2. If I read a lot of books, I won't get smarter.
3. If I don't get smarter, then I don't read a lot of books.
4. If I don't read a lot of books, I will get smarter.