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Tenth Grade (Grade 10) Mathematical Process Questions

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Grade 10 Logical Thinking
What is called the universal quantifier in logic?
  1. all
  2. there exists at least one
  3. conjunction
  4. disjunction
  5. conditional
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2
Angela sells baked goods at a summer market each year. The two main baked goods are apple turnovers and chocolate caramel cupcakes. Unfortunately, she does not keep very good records, and cannot remember exactly what price she sold each for last year. She remembers that one day she sold 50 cupcakes and 30 turnovers, and made about $135. Another day, she sold 40 cupcakes and 40 turnovers, and made $140. If she were to create a model to solve for how much she sold each baked good for, what would be a good variable(s) to create?
  1. Just one variable, the average cost of a baked good.
  2. Two variables, one for the cost to make the baked goods, and another for the total revenue of the baked goods.
  3. Two variables, one for the total number of turnovers sold, and another for the total number of cupcakes sold.
  4. Two variables, one for the cost of a turnover, and one for the cost of a cupcake.
Grade 10 Logical Thinking
Which of the following is logically equivalent to p↔q?
  1. p→qorq→p
  2. p→qifq→p
  3. p→qandq→p
  4. p→q when q→p
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2
Hannah wants to buy an indoor plant for her apartment. Which of the following factors would be important to investigate in order to determine which plant would be appropriate to buy? Choose all that apply.
  1. Amount of sunlight the plant will get.
  2. The size of the apartment.
  3. Whether she will put the plant on the floor or on a table.
  4. Average temperature of her apartment.
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2
Kent wants to grow some tomato plants in his back yard so that he is able to can them for the winter. He is hoping to have about 9 quarts of canned tomatoes. He knows that about every 3 pounds of fresh tomatoes yields one quart of canned tomatoes. What quantities would be useful for finding the number of tomato plants Kent needs to plant?
  1. The average number of tomatoes a tomato plant produces.
  2. The average weight of tomatoes a tomato plant produces.
  3. How long it takes to can one pound of tomatoes.
  4. The average weight of one can of tomatoes.
Grade 10 Logical Thinking
Which of the following represents the biconditional?
  1. p←q
  2. p↔q
  3. p→q
  4. p→~q
Grade 10 Logical Thinking
The negation of the statement p is ~p.
  1. True
  2. False
Grade 10 Logical Thinking
Which answer would be a counterexample to the following biconditional?

"Greg is a swimmer if and only if he is an athlete."
  1. Greg is an athlete and a basketball player.
  2. Greg is a swimmer.
  3. Greg is not an athlete.
  4. There is no counterexample.
Grade 10 Logical Thinking
What is compound statement with "p or q" called?
  1. all
  2. there exists at least one
  3. conjunction
  4. disjunction
  5. conditional
Grade 10 Logical Thinking
Two or more statements joined by the word "and" is called a                .
  1. Disjunction
  2. Negation
  3. Truth value
  4. Conjunction
Grade 10 Logical Thinking
Which numbers are not counterexamples for the following statement?
For any numbers a and b, a/b = a - b
  1. a = 8, b = 4
  2. a = 10, b = 5
  3. a = 6, b = 3
  4. a = 4, b = 2
Grade 10 Logical Thinking
An "if... then..." statement.
  1. condition
  2. conditional
  3. hypothesis
  4. conclusion
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