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Logical Thinking Questions - All Grades

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Grade 5 :: Logical Thinking by kuglern
Grade 11 :: Logical Thinking by MrsNichols62913
What is the converse of the following conditional and is it true? "It two angles are complementary, then their measures add to 90 degrees?
  1. If two angles are not complementary, then their angles do not add to 90 degrees, True
  2. If two angles add to 90 degrees, then their angles are complementary, True
  3. If two angles do not add to 90 degrees then their angles are not complementary, false
  4. If two angles add to 90 degrees then their angles are complementary, false
Grade 9 :: Logical Thinking by patamyj6
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 by Charleston
Grade 11 :: Logical Thinking by MrsNichols62913
Is converse of this statement true? If not give a specific counter example. "If an angle is 117 degrees then it is obtuse."
  1. True
  2. Not true - 90 degrees
  3. Not true - 116 degrees
  4. Not true - all angles bigger than 90 are obtuse
Grade 11 :: Logical Thinking by MrsNichols62913
Which best describes what a conditional is.
  1. A rule
  2. If p then q
  3. A proof
  4. If q then p
Grade 11 :: Logical Thinking by MrsNichols62913
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 by Charleston
Grade 11 :: Logical Thinking by MrsNichols62913
What is the contrapositive of the following statement? Obtuse angles have measures greater than 90?
  1. If an angle is obtuse then it is greater than 90
  2. If an angle is not greater then 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 11 :: Logical Thinking by MrsNichols62913
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 by Charleston
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