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FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide  /  Math Courses

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FTCE Middle Grades Math: Problem-Solving Strategies 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. Jean-Phillip likes to draw bar graphs of his spending habits, to help him understand his expenses so he can manage his money. What general type of problem-solving strategy is Jean-Phillip using?

Question 2 2. General 'mental short-cuts' or quick decision-making rules, such as, 'you get what you pay for' or 'shorter lines move more quickly' could be considered what type of problem-solving strategy?

Question 3 3. Which of the following statements are true?

Question 4 4. If we wanted to solve the equation 13 - x = 10, which of the following questions would we want to answer in our head?

Question 5 5. 67 - 34

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Question 6 6. Add 101 + 28.

Question 7 7. Using only your thought processes (brain), what is 5 × 500?

Question 8 8. Using only your mental calculator, what is 8 × 900?

Question 9 9. 3x = 9.9

Question 10 10. 4x + 3 = 4

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Question 11 11. Suppose one of the statements in a word problem is 'you give 5 apples away'. How do you undo this step of the problem while working backwards?

Question 12 12. Which of the following scenarios would indicate that working backwards is a good solving process to use?

Question 13 13. 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 14 14. Identifying all relevant and irrelevant information in a problem is part of which step of Polya's Process?

Question 15 15. Making relationships and comparisons with a known concept in order to understand an unknown concept is the definition of which principle?

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Question 16 16. Parentheses, exponents, multiplication, division, addition, subtraction (PEMDAS) is a very common example of which principle?

Question 17 17.

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 18 18. When an instructor shows many different examples for the same concept, that instructor is using which method to understand the problem?

Question 19 19. Why are models not always accurate?

Question 20 20. What well-known mathematical model could you use to determine the size (in square feet) of your rectangular backyard?

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Question 21 21. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

Question 22 22. What is the volume of the cube created by taking two 6 by 2 strips of paper, folding them into thirds, and using each third as a side of the cube?

Question 23 23. Given 51 * 28, what is a valid estimated answer?

Question 24 24. 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 25 25. Hanna isn't sure what topic to pick for her public speaking class, so she decides to draw out possible solutions in a visual way, to help her explore the options. She writes down different ideas, circles them, then draws lines connecting different related ideas. Which problem-solving strategy is Hanna using?

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Question 26 26. Which of the following statements are true?

Question 27 27. 34 + 22

Question 28 28. Using only the powers of your mind, what is 3 × 40?

Question 29 29. x - 2 = 8.5

Question 30 30. Suppose you go for a walk to visit three different sites. You leave home and walk for 15 minutes to the first site. Next, you walk for 20 minutes to the second site. Last, you walk for 10 minutes to the last site. At this point, it is 3:05 PM. Use working backward to figure out what time you left your house.

FTCE Middle Grades Math: Problem-Solving Strategies 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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