Logical Problem Solving in Mathematics Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. How could you use the 'By Example' method to understand the mathematical concept of greater than (>)?

Question 2 2. If I drew a picture to help illustrate a point when solving a math problem, I would be using which method of the Three-Way principle?

Question 3 3.

To understand a set, you must understand that a set is a grouping together of items based on a pre-stated condition of inclusion.

This is an example of which principle of the 3-Way Principle of mathematics?

Question 4 4. Identifying all relevant and irrelevant information in a problem is part of which step of Polya's Process?

Question 5 5. The Second Step in Polya's Four-Step Problem Solving Process is what?

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Question 6 6. If you are ready to 'Carry out your plan', you are ready for which step of Polya's Process?

Question 7 7. Given 51 * 28, what is a valid estimated answer?

Question 8 8. Use estimation to find an estimate of the correct answer to 515 + 113 + 280 + 425. Using this information, choose the exact answer from the possibilities given.

Question 9 9. What is a concise phrase that sums up the definition of estimate?

Question 10 10. Which of the following is a conditional statement?

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Question 11 11. Which of the following is a conditional statement whose hypothesis is 'Joe has a red car' and whose conclusion is 'Billy gets to drive it'?

Question 12 12.

If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream.

Which of the following represents the conclusion in the above conditional statement?

Question 13 13. What is a very broad definition of mathematical modeling?

Question 14 14. Why are models not always accurate?

Question 15 15. If you wanted to create a mathematical model to determine the size of a backyard in order to lay grass seed, what variables might you want to consider building into your model?

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Question 16 16. Most advanced mathematical proofs use which type of reasoning?

Question 17 17. Using a known formula to calculate a solution to an algebra equation is an example of which type of reasoning?

Question 18 18. If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?

Question 19 19.

Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

Question 20 20. If x = 1 and y = 2, what can be said about z if z = xy?

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Question 21 21.

If a = c and b = c, what kinds of new statements can you make?

A: If a = c and b = c, then a = b.

B: If a = 1, then b = 1.

C: If b = 2, then a = 1.

Question 22 22. Parentheses, exponents, multiplication, division, addition, subtraction (PEMDAS) is a very common example of which principle?

Question 23 23. Making relationships and comparisons with a known concept in order to understand an unknown concept is the definition of which principle?

Question 24 24. The statement 'multiplying always results in a larger number than the ones you started with' is disproved when multiplying a positive number with a negative number. This is an example of which principle?

Question 25 25. What single word best describes Negation logic?

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Question 26 26. The statement: If a shape has four equal sides with four right angles, then it is a square is an example of which logic connective?

Question 27 27. Which logic connective has a symbol that looks like an upside down V (or a tepee that traps things inside)?

Question 28 28. In which method do you understand a problem by using words to work through a problem?

Question 29 29. If I have already solved a problem but am solving the problem again using a different method to see if I get the same answer, I am at which step of Polya's Four-Step Problem Solving Process?

Question 30 30. How is estimating helpful when solving math problems in an academic setting?

Logical Problem Solving in Mathematics Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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