Summer Math Project 2010 Incoming grade 7 2010-2011 Name This project is to be completed at home during the summer months and turned in to your seventh grade math teacher on September 10, 2010. Extra credit will be given if completed packets are turned in before that date. All students entering Pre Algebra A, Pre Algebra or Accelerated Pre Algebra are responsible for completing the assignment, which will be graded and counted as the first test for the new year. If you misplace this packet and need a new one, you can download an additional copy from the district website www.linden.k12.nj.us. Please read the directions for each problem and be sure to answer fully. Reference sheets are included in the packet. In addition to the resources attached to the packet, you may use the online support materials at http://www.mcdougallittell.com/ml/math.htm?lvl=4&id=1005500000030861# This site provides extra support from the Pre Algebra textbook used in the district. Simply go to the website and click on the classzone option for extra explanations and examples. If you feel you need to use a scientific or graphing calculator one of the many online sites (scientific http://www.calculator.com/calcs/calc_sci.html or graphing http://www.coolmath.com/graphit/ ) may be used.
Find the perimeter. (The figure may not be drawn to scale.) 5. The perimeter of a square is 32 feet. Find the area of the square. a. 64 ft 2 b. 65 ft 2 c. 9 ft 2 d. 8 ft 2 1. a. 119 in. b. 47 in. c. 116 in. d. 50 in. 6. Order the numbers from least to greatest. a. b. c. d. 2. Find the perimeter of the square. 7. 0.133, 0.190, 0.500, 0.391 1 2 a. 160 in. b. 320 in. c. none of these d. 6400 in. 3. Find the volume of the figure. 3 4 5 6 7 4. What is the perimeter of the square?
Perform the indicated operation. 8. 9. 10. a. 846.14 b. 651.11 c. 828.41 d. 867.81 a. 16.99 b. 17.19 c. 18.09 d. 17.09 8 9 10 11 11. 12 12. 13. 13 Estimate the sum or difference by rounding each number to the underlined digit. 14. 791 218 a. 800 b. 700 c. 1000 d. 600 15. 91,137 + 61,184 Estimate your answer to the underlined digit 16. 3589 6 17. 463 54 14 15 16 17 18 19 18. 767 236 19. 486 7
Perform the indicated operation. d. 20. 21. Perform the indicated operation. 22. a. 14 b. c. d. 175 Write the improper fraction as a mixed number. 26. Complete the statement. 27. 20 a. b. c. d. 23. a. b. 21 22 24. c. d. none of these a. 23 24 25 b. c. d. 3 26 27 Write the mixed number as an improper fraction. 25. a. b. c.
28. 3 4 3 + 4 5 4 = 11 a. 8 20 11 b. 7 20 c. 8 5 1 16 d. 8 40 28 29 30 31 29. 19 3 1-12 9 7 = 32 a. 7 3 2 c. 6 10 6 33 b. 6 3 2 d. 7 4 3 34 30. What is the place value of the 1 in 765.19? a. hundredths b. tens c. tenths d. hundreds 31. Name the place value of the 9 in 320.6549. Round the number to the place value of the underlined digit. 35 36 37 38 32. 38,593 33. 648,042,362 34. 29,999 Give the place and value of the underlined digit. Then round the number to that place. 35. 4561.23 36. 875.43 37. 87.344 38. 91.8756
Estimate the sum or difference by rounding each number to the place of its leading digit. 39. 40. 41. 42. Allow x = 12, y = - 4 then solve 43. y + 8 44. 9 x 45. y x 46. x y Order the numbers from least to greatest. 47. 4.3, 3.4, 4.5, 3.45 48. 0.71, 0.75, 0.7, 0.715 Perform the indicated operation. 49. 50. 51. 52. 53. 54. 55. Write the mixed number as an improper fraction. 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 56. 57.
Write the improper fraction as a mixed number. 58. 59. Find the sum or difference. 58 59 60. 61. 62. 60 61 62 63. Find the product. 64. 65. 63 64 65 66. 4 7 9 66 67. 68. 4 9 7 3 15 5 2 67 68 69 Copy and complete the statement 70 69. 70.
Use the bar graph which shows the results of a survey of 25 students about their favorite lunch food. 71 72 73 74 75 71. How many students chose chicken nuggets? 72. Which two foods were chosen by the same number of people? 73. How many more students chose macaroni and cheese than chose hamburger? Use the line graph which shows the weight of an Irish wolfhound puppy. 76 Greatest Least 74. What was the weight of the puppy at 8 months? 75. How old was the puppy when it weighed 60 pounds? 76. Between which two ages was the weight increase the greatest? The least?
Use the circle graph which shows the number of years that a senator had worked in the U.S. Senate at the start of the 104th Congress. 77 78 79 80a 77. How many senators had worked in the U.S. Senate for 10 to 19 years? 78. How many senators had worked in the U.S. Senate for 20 years or more? 79. How many senators had worked in the U.S. Senate for 9 years or less? 80. Consider the whole numbers less than 13. a. Draw a Venn diagram showing set A, which consists of numbers that are multiples of 2, and set B, which consists of numbers that are multiples of 3. b. Use the Venn diagram from part (a) to determine whether the following statement is true or false. There are exactly two whole numbers less than 13 that are multiples of 2 and 3 81. Draw and label a rectangle with a length of 5 centimeters and a width of 3 centimeters. 82. Find the perimeter of a rectangle with a length of 5 centimeters and a width of 3 centimeters. Use a ruler to draw a segment with the given length. 80b 81 83. 84. 4.3 centimeters 82 83 84
Use a ruler to find the length of the segment in inches and centimeters. 85. 86. Find the area of the square. 87. 85 Inches centimeters 86 Inches 87 centimeters 88. 88 89 Find the volume of the cube. 89. 90 91 92 90. 93 94 Copy and complete the statement using <, >, or =. 91. 92. 93. 94.
Evaluate and express answer in lowest terms 2 3 5 10 6 15 95. = 96. 1 22-16 1 = 4 5 95 96 97. 1 4-2 1 = 3 2 97 98. 4 3 + 6 4 2 = 9 98 99 Classify the angles as acute, obtuse, right or reflex angles 99. 257º 100. 90 º 101. 168º 102. 22 º Find the measure of the angle. Then classify the angle as acute, right, obtuse, or straight. 100 101 102 103 104 105 106 103. 104. 105. 106. 107. Use a straightedge to draw a segment whose length is the sum of the lengths of the tw o given segments. 107
108. 111. The double bar graph shows the results of a survey that compares Mr. Milton's students' favorite type of music. What percent of the people did not vote for Jones? a. 89% b. 71% c. 81% d. 91% 109. 112. How many students preferred rock music? About how many more lunches were sold on Friday than on Thursday? a. 42 b. 21 c. 12 d. 30 110. Altogether, how many students said history or science was their favorite subject? 108 109 If 3 dinner coupons were given away with every vehicle sold, how many coupons were given away in June? 110 111 112
113. The line graph shows Amy's pulse rate during 10 minutes of cycling. 115. The fourth and fifth graders at Beacon Elementary School made homemade ice cream for an end-of-year party. The graph shows the number of students from each class who made each type of ice cream. What was Amy's pulse rate at 9 minutes? a. 70 pulses per min b. 90 pulses per min c. 75 pulses per min d. 100 pulses per min How many more fourth graders made vanilla ice cream than fifth graders? 114. Use the circle graph below to find out the total number of 6th graders reading the given types of books. 113 114 115
116. The graph below shows sales( in millions of dollars) for the XYZ Corporation. How much greater were sales in 1999 than in 1997? 117. Use the bar graph below to find out how many more students read biographies than mystery books. 116 117
Use the protractor to find the measure of the angle 118. 119. 118 119 120 A) B) 120. a) Draw a Venn diagram of the set of whole numbers less than 15 where set A consists of multiples of 5 and set B consists of multiples of 7. b) If a multiple of 5 is less than 15, then is it always, sometimes or never a multiple of 7?
121. The athletic director at Georgeville Middle School surveyed students to find out what sports they play. Some of the results of the survey are shown in the first Venn diagram. Which Venn diagram below includes the data from the table as well? a. b. c. 121 d.
122. In a school of 524 students, 86 students participate in band and 213 students participate on sports teams. Of the students in band and sports, 50 students participate in both activities. Choose the Venn diagram that correctly represents this information and then determine how many students are involved in neither band nor sports. a. 123. Which numbers are not contained in circle A? b. 225 students 124. a. Draw a Venn diagram of the set of whole numbers between 8 and 20 where set A consists of even numbers and set B consists of multiples of 9. b. If an even number is between 8 and 20, then it is always, sometimes, or never a multiple of 9? c. 275 students 122 123 124a d. 225 students 124b 275 students