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Test Bank for Mathematical Reasoning for Elementary Teachers, 7th Edition

Perfect your exam skills with Test Bank for Mathematical Reasoning for Elementary Teachers, 7th Edition, which features a range of MCQs and in-depth solutions.

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    Chapter 1 Form A Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question or solve the problem. 1) I'm thinking of a positive number. The number is even. The number is less than 98. The number is divisible by 7. The sum of its digits is divisible by 10. What is the number? A) 91 B) 70 C) 28 D) Not enough information to know 1) Use the pattern in the sequence or chart to find the missing number. 2) 6, 12, 18, 30, 48, ? A) 78 B) 20 C) 22 D) 18 2) Solve the problem. 3) If one must always move downward or to the right in the grid shown, how many paths are there from the top left corner to the bottom right corner? A) 24 B) 20 C) 15 D) 64 3) Use the pattern in the sequence or chart to find the missing number. 4) Use the 100 chart to find the missing number. 32 A) 62 B) 63 C) 35 D) 45 4) Solve the problem. 5) How many rectangles are in a figure made by 6 square tiles lined up in a row? Use the pattern below to solve. A) 15 B) 21 C) 13 D) 23 5) 1

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    Count the number of items asked for in the problem. 6) Squares (of any size) A) 9 B) 12 C) 8 D) 11 6) Solve the problem. 7) Find the 13th pentagonal number that corresponds to the following dot sequence. A) 260 B) 91 C) 169 D) 247 7) 8) Who am I? If you multiply me by 12 and add 21, the result is 117. A) 8 B) 1425 C) 1656 D) 72 8) Provide an appropriate response. 9) Look for a pattern in the sequence of figures shown below. How many triangles are needed for the 4th figure? The nth figure? A) 14, 4n - 2 B) 12, 3n C) 12, 4n - 4 D) 14, 3n + 2 9) Solve the problem. 10) How many different amounts of money can you pay if you use two coins including only nickels, dimes, and quarters? A) 5 amounts B) 6 amounts C) 7 amounts D) 4 amounts 10) Answer the question. 11) A cell has at least 3 and at most 47 nuclei. How many cells must a scientist view under his microscope to be certain that at least two cells have the same number of nuclei? A) 44 cells B) 47 cells C) 45 cells D) 46 cells 11) 2

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    Provide an appropriate response. 12) Look for a pattern in the sequence of figures shown below. How many squares are needed for the 4th figure? The nth figure? A) 14, 4n + 3 B) 13, 4n - 3 C) 13, 3n + 1 D) 12, 4n - 2 12) Solve the problem. 13) Find the number of terms in the following arithmethic progression: -4 , 3 , 10 , . . . , 157 A) 25 B) 23 C) 22 D) 24 13) Provide an appropriate response. 14) Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure. A) B) C) D) 14) Solve the problem. 15) Arrange 5 square tiles so that they make a solid pattern with the smallest perimeter possible. The tiles are equal in area and touch at least one other tile along an entire edge. A) B) C) D) 15) 3

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    16) Place the numbers 9, 11, 12, 13 and 14 in the circles to make the sum across and vertically equal to 34. A) 13 14 11 9 12 B) 14 12 9 13 11 C) 13 12 9 14 11 16) 4

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    D) 13 11 12 14 9 Guess the rule used to change one number into another. 17) Number Chosen 3 4 5 6 7 Number Given Back 11 18 27 38 51 A) n2 + n B) n2 + 2 C) 4n - 1 D) None of the above is the correct rule. 17) Solve the problem. 18) The numbers on the right in the equations below are the hexagonal numbers. Use the sequence of equations to find a formula for hn, the nth hexagonal number. 1 = 1 1 + 5 = 6 1 + 5 + 9 = 15 1 + 5 + 9 + 13 = 28 .............. A) hn = n(2n - 1) B) hn = 2n(n - 1) C) hn = (n - 1)(2n + 1) D) hn = n(2n + 1) 18) Provide an appropriate response. 19) Consider the following 1 × 1, 2 × 2, and 3 × 3 match stick designs. How many match sticks are needed for a 7 × 7 design? A) 53 B) 112 C) 98 D) 56 19) 5

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    Solve the problem. 20) The number sequence that corresponds to the figures above is 1, 6, 15, 28, . . . . These are the hexagonal numbers H1, H2, H3, H4, . . . . Use inductive reasoning to find a formula for the nth hexagonal number, Hn. A) Hn = n(2n - 1) B) Hn = (n + 1)(2n - 1) C) Hn = 5n - 4 D) Hn = 2n(n - 1) 20) 6

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    Answer Key Testname: CHAPTER 1 FORM A 1) C 2) A 3) B 4) D 5) B 6) D 7) D 8) A 9) A 10) B 11) D 12) B 13) D 14) A 15) C 16) B 17) B 18) A 19) B 20) A 7

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    CHAPTER 1 FORM B Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the pattern in the sequence or chart to find the missing number. 1) 3, 2, 1, 0, - 1, ? A) 1 B) - 3 C) - 2 D) 0 1) Solve the problem. 2) Find the 36th term in the number sequence that corresponds to this dot sequence: A) 39 B) 110 C) 108 D) 107 2) 3) Use the sequence of equations to find the unknown sum. 1 = 0 + 1 1 + 3 + 1 = 1 + 4 1 + 3 + 5 + 3 + 1 = 4 + 9 . . . . . . . . . . . . . . . 1 + 3 + 5 + . . . + 15 + . . . + 5 + 3 + 1 = ? A) 36 + 49 = 85 B) 7 + 8 = 15 C) 49 + 64 = 113 D) (8 + 7 )2 = 225 3) 4) Use the sequence of equations to find a general rule. 1 = 0 + 1 1 + 3 + 1 = 1 + 4 1 + 3 + 5 + 3 + 1 = 4 + 9 . . . . . . . . . . . . . . . Fill in the blank to complete the equation: 1 + 3 + 5 + . . . (2n + 1) + . . . + 5 + 3 + 1 = ? A) (n - 1) 2 + (n + 1) 2 B) n 2 + (n - 1) 2 C) n - 1 2 2 + n + 1 2 2 D) n 2 + (n + 1) 2 4) 5) Who am I? If you multiply me by 14 and add 28, the result is 98. A) 1400 B) 5 C) 9 D) 6 5) 1

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    6) Find the 16th triangular number that corresponds to the following dot sequence. A) 257 B) 136 C) 128 D) 120 6) Answer the question. 7) An average newspaper contains at least 16 pages and at most 87 pages. How many newspapers must be collected to be certain that at least two newspapers have the same number of pages? A) 70 newspapers B) 72 newspapers C) 73 newspapers D) 71 newspapers 7) Solve the problem. 8) Anthony has 11 coins consisting of dimes, nickels, and pennies. The total value of the coins is 63 cents. What coins does Anthony have? A) 4 d, 4 n, 3 p B) 3 d, 6 n, 3 p C) 4 d, 3 n, 8 p D) 3 d, 6 n, 2 p 8) 9) How many different amounts of money can you pay if you use two coins including only nickels, dimes, and quarters? A) 6 amounts B) 5 amounts C) 7 amounts D) 4 amounts 9) Guess the rule used to change one number into another. 10) Number Chosen 5 6 7 8 9 Number Given Back 26 30 34 38 42 A) 4n + 6 B) n2 + 10 C) 3n + 8 D) None of the above is the correct rule. 10) Solve the problem. 11) Who am I? If you multiply me by 4 and subtract 9, the result is 59. A) 104 B) 8 C) 17 D) 32 11) 2

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    12) Place the numbers 4, 5, 6, 7 and 9 in the circles to make the sum across and vertically equal to 20. A) 4 9 6 5 7 B) 7 6 5 9 4 C) 4 6 9 5 7 D) 7 6 4 5 9 12) Answer the question. 13) Use the mathematical machine to find the input corresponding to an output of 19. A) 57 B) 6.8 C) -1.5 D) 3.8 13) 3

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    Answer the question or solve the problem. 14) Jesse forgot in which chapter she has math homework. She knows it is within chapters 3 to 7 and deals with exponents. She knows that her homework is not from chapter 3. Last month they worked on chapter 4 so they're at least two chapters ahead by now. The final will not be for another month. She estimates that they do two chapters a month and the book has 8 chapters. When the final comes, they will have just finished the entire book. Which chapter should Jesse look in to do the homework assignment? A) Chapter 5 B) Chapter 6 C) Chapter 7 D) Chapter 4 14) Solve the problem. 15) How many posts does it take to support a straight fence 140 feet long if posts are placed every 10 feet? A) 15 B) 14 C) 13 D) 16 15) Use the pattern in the sequence or chart to find the missing number. 16) -2 , -4 , -8 , -16 , -32 , ? A) -48 B) -64 C) 48 D) 64 16) Solve the problem. 17) How many cuts are needed to divide a pole 16 feet into 2 - foot sections? A) 2 B) 3 C) 7 D) 8 17) 18) The number sequence that corresponds to the figures above is 1, 6, 15, 28, . . . . These are the hexagonal numbers H1, H2, H3, H4, . . . . Use inductive reasoning to find a formula for the nth hexagonal number, Hn. A) Hn = (n + 1)(2n - 1) B) Hn = n(2n - 1) C) Hn = 5n - 4 D) Hn = 2n(n - 1) 18) Provide an appropriate response. 19) A pet shop has a total of 15 dogs and birds. Altogether there are 42 feet. How many dogs are there and how many birds? A) 6 dogs and 9 birds B) 5 dogs and 10 birds C) 7 dogs and 8 birds D) 8 dogs and 7 birds 19) 4

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    Answer the question. 20) How many people must be in a room to be sure that at least two were born in the same month of the year? A) 2 people B) 13 people C) 3 people D) 12 people 20) 5

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    Answer Key Testname: CHAPTER 1 FORM B 1) C 2) D 3) C 4) D 5) B 6) B 7) C 8) A 9) A 10) A 11) C 12) C 13) D 14) B 15) A 16) B 17) C 18) B 19) A 20) B 6

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    CHAPTER 1 FORM C Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find all possible solutions to the problem. 1) The sum of two whole numbers is 67. Their difference is less than five. What are the possibilities for the two numbers? 1) Solve the problem. 2) In how many ways can you exactly cover the last two diagrams with "dominoes" that are just the size of two small squares? 2) Find all possible solutions to the problem. 3) When Beth made a purchase, she received 27 cents in change. What are the possible combinations of coins she could have received? 3) 1

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    Solve the problem. 4) The figure below shows an addition pyramid, in which each number is the sum of the two numbers immediately below. 17 8 9 3 5 4 For the incomplete addition pyramid below, show that the values in the square can be determined by forming and solving an equation in the unknown variable shown. 39 x 12 9 4) 2

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