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Mathematical Process Questions - All Grades

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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 5 Problem Solving Strategies
In 2000, Texas contained 79.6 people per square mile. What information do you need to find how many people lived in the state of Texas?
  1. The number of square miles per each person.
  2. The number of square miles in Texas.
  3. The number of square miles in the United States.
  4. There is enough information to solve the problem.
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, what is 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
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 7 Mathematical Process
Is a formula actually an equation?
  1. no
  2. yes
  3. maybe
  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
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
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