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Logical Thinking Questions - All Grades

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Grade 9 Logical Thinking
A cylindrical hole has a diameter of 40 meters and a height of 10 meters. If one cubic meter of sand has a mass of 75 kg, which is a way to find the amount of sand in the hole?
  1. 40 x 3.14 x 10 divided by 75 kg
  2. 20 x 3.14 x 10 divided by 75 kg
  3. 20 squared x 3.14 x 10 divided by 75 kg
  4. 75 x 10 x 40 x 0 kg
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
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
A statement that can be written in if-then form is a
  1. compound statement.
  2. conclusion statement.
  3. conditional statement.
  4. conjunction statement.
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
Is the converse of this statement true? If not, select the 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 - 75 degrees
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 9 Logical Thinking
Which of the following is a conditional statement?
  1. Amy plays soccer or Bills plays hockey.
  2. Bill plays hockey when Amy plays soccer.
  3. If Amy plays soccer, then Bill plays hockey.
  4. None of the above
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
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