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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 converse?
  1. If you grow, then you will eat all of your vegetables.
  2. If you do not eat all of your vegetables, then you will not grow.
  3. If you do not grow, then you will not eat all of your vegetables.
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 5 Problem Solving Strategies
During September, October, November, and December, Jeff worked after school on 32 days. He worked the same number of days each month. Find the number of days Jeff worked each month.

Which best states the question asked in the problem?
  1. How many days did Jeff work each month?
  2. How many days did Jeff work during October?
  3. Did Jeff work the same number of days each month?
  4. Will Jeff work for 32 days the next four months?
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
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.
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 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
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