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Eleventh Grade (Grade 11) Logical Thinking Questions

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Grade 11 Logical Thinking
A hole measures diameter 40 meters, and height 10 meters. If a cubic meter of sand weighs 75 kilograms, how much sand in kilograms is in the hole?
  1. 40 X 3.14 X 10 divided by 75
  2. 20 X 3.14 X 10 divided by 75
  3. 20 squared X 3.14 X 10 divided by 75
  4. 75 X 10 X 40 X 0
Grade 11 Logical Thinking
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
On Wednesdays we wear pink
It is Wednesday
  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 11 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 11 Logical Thinking
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
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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