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Logical Thinking Questions - All Grades

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Grade 9 Logical Thinking
Which of the following statements follows from the assumption that John has exactly three cars?
  1. John is extremely wealthy.
  2. John has more cars than motorcycles.
  3. John knows how to drive.
  4. John has more than two cars.
Grade 10 Logical Thinking
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.
Grade 10 Logical Thinking
Grade 10 Logical Thinking
Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its converse?
  1. If you grow, then you will eat all of your vegetables.
  2. If you do not eat all of your vegetables, then you will not grow.
  3. If you do not grow, then you will not eat all of your vegetables.
Grade 10 Logical Thinking
Grade 10 Logical Thinking
Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its inverse?
  1. If you grow, then you will eat all of your vegetables.
  2. If you do not grow, then you will not eat all of your vegetables.
  3. If you do not eat all of your vegetables, then you will not grow.
Grade 10 Logical Thinking
Grade 10 Logical Thinking
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.
Grade 10 Logical Thinking
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.
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