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Tenth Grade (Grade 10) Logical Thinking Questions

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Grade 10 Logical Thinking
Which of the following is the biconditional statement for the conditional statement:
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
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
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
Grade 10 Logical Thinking
If a figure is a three sided polygon then it is a triangle.
Figure ABC is a three sided Polygon.
Therefore
  1. figure ABC is not a triangle.
  2. figure ABC is a triangle.
  3. figure ABC has three sides.
  4. there is not enough information given.
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
What is the contrapositive of the following statement? If an angle is obtuse, then it is greater than 90.
  1. If an angle is obtuse then it is greater than 90.
  2. If an angle is not greater than 90 then it is not obtuse.
  3. If an angle is not obtuse then it is not greater than 90.
  4. If an angle is greater than 90 then it is obtuse.
Grade 10 Logical Thinking
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
Grade 10 Logical Thinking
Determine the contrapositive of the statement: if p, then q
  1. if ~q, then ~p
  2. If p, then ~q
  3. If ~p, then q
  4. If q, then p
Grade 10 Logical Thinking
Determine the converse of the statement if p, then q
  1. If ~q, then p
  2. If p, then ~q
  3. If ~p, then q
  4. If q, then p
Grade 10 Logical Thinking
Which best describes what a conditional is.
  1. A rule
  2. If p then q
  3. A proof
  4. If q then p
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