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Tenth Grade (Grade 10) Mathematical Process Questions

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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
Grade 10 Logical Thinking
Which of the following is logically equivalent to [math]p harr q ?[/math]
  1. [math]p rarr q or q rarr p [/math]
  2. [math]p rarr q if q rarr p [/math]
  3. [math]p rarr q and q rarr p[/math]
  4. [math] p rarr q " when " q rarr p[/math]
Grade 10 Logical Thinking
Which of the following represents the biconditional?
  1. [math]p larr q[/math]
  2. [math] p harr q[/math]
  3. [math] p rarr q[/math]
  4. [math] p rarr ~q [/math]
Grade 10 Logical Thinking
Grade 10 Logical Thinking
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
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
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.
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