Name: Class: Assessment pack Semester 2 Grade 7

Name: Class: Assessment pack Semester 2 Grade 7

Math Materials covered for Grade 7 Semester 2 exam Module 6 (Expressions and Equations) 6.1 algebraic expressions 6.2 one step equation with rational coefficient 6.3 writing two step equation 6.4 solving two step equation Module 7 (Inequality) 7.1 writing and solving one step inequality 7.2 writing two step inequality 7.3 writing and solving two step inequality Module 8 (Modelling Geometric Figures) 8.1 Similar shapes and scale drawing 8.3 cross sections 8.4 angles relation

Module 9 (Circumference, Area and Volume) 9.1 circumference 9.2 area of a circle 9.3 area of composite figures 9.4 solving surface area problems 9.5 solving volume problems Module 22 (Volumes) 22.1 volume of cylinders 22.2 volume of cones 22.3 volume of spheres

revision pack grade 7 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A triangle has sides with lengths of,, and. What is the perimeter of the triangle? 2. Which is a solution for the equation? 3. Which is a solution for the equation? 4. Evaluate + 7 for. 5 9 5. Solve. y = -15.8 6. Solve the equation. 7. Solve the equation. 5 10 6 30 8. Antonio has read at least 10 more books than Benji. If Benji has read 27 books, at least how many books has Antonio read? at least 37 books at least 17 books at most 37 books at most 17 books 9. Wednesday's low temperature in Indianapolis was 25 F. The same day in Houston, the low temperature was above 56 F. at least how many degrees warmer was the low temperature in Houston than the low in Indianapolis? at least 81 F warmer at least 31 F warmer at most 81 F warmer at most 31 F warmer 10. Which expression is equivalent to? 11. Write an equation that models the situation and find its solution.

It's going to be Lindsay's birthday soon, and her friends Sandy, Jay, and Hakeem have contributed equal amounts of money to buy her a present. They have $19.50 to spend between them. Determine how much each contribute 12. Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23. 13. Ralph is an electrician. He charges an initial fee of $24, plus $33 per hour. If Ralph earned $189 on a job, how long did the job take? 4 hours 5 hours 132 hours 6.5 hours 14. Manuel just bought a new television for $629.00. He made a down payment of $57.00 and will pay monthly payments of $26.00 until it is paid off. How many months will Manuel be paying? (Assume that Manuel pays no interest.) 21 months 27 months 22 months 25 months 15. The length of a rectangle is 99 centimeters. Find all possible values for the width of the rectangle if the perimeter is at least 240 centimeters. 16. A fence forms a rectangle and uses 64 meters of fencing. If the width of the enclosed area is 13 meters, what is the length? 19 meters 38 meters 51 meters 154 meters 17. Your middle school is having a carnival. Admission into the carnival is $8, and each game inside the carnival costs $0.50. Which of the following inequalities represents the possible number of games that can be played with $20? 18. Which of the following inequalities represents a solution set that has the variable equal to some number? being greater than or

19. Which of the following graphs describes the solution set of? 12 8 4 0 4 8 12 12 8 4 0 4 8 12 12 8 4 0 4 8 12 12 8 4 0 4 8 12 20. A group decides to go white-water rafting on a river. The map they have of the river has the scale 3 inches:7 miles. On the map, the distance between the start point and the end point of their trip is 15 inches. What is the actual distance? 49 mi 2.33 mi 6.43 mi 35 mi 21. According to the given key, what is the scale of the map? (not drawn to scale) 1 in. : 48 mi 1 in. : 96 mi. 1 in. : 24 mi 1 inch : 12 mi. 22. The scale of a drawing is 5 in. : 2 in. Find the unknown measure. length on drawing 20 in.;

length of object 50 in. 8 in. 4 in. 40 in. 23. A photograph in a catalog has a scale of 2 in. : 5 ft. A tent in the photograph is 3 inches long. How long is the tent? 7.5 ft 8.5 ft 8 ft 9 ft 24. The blueprint shows a layout of a building. Every 3 inches in the blueprint represents 5 feet of the actual building. One of the walls on the blueprint is 21 inches long. What is the length of the actual wall? 30 in. 21 in. 35 inches 21 feet 35 feet 50 feet 25. The blueprint shows the layout of an enclosure for horses. Every 4 centimeters in the blueprint represents 7 meters of the actual enclosure. To the nearest whole number, what is the area of the enclosure? 28 cm 12 cm 26. The scale drawing has a scale of 1 inch:9 yards. What is the total area of the composite figure that the drawing represents?

7 in. 6 in. 3 in. 51 square inches 459 square yards square yards square yards 27. The scale drawing represents Kim s living room. She wants to put new baseboards on the walls of the room. If the scale is 2 cm:1 m and the baseboard costs $4.19 per meter, how much would it cost to put baseboards in Kim s living room? 5 cm 2 cm 2 cm 2 cm 2 cm 8 cm 8 cm 9 cm $4.53 $79.61 $159.22 $318.44 28. Draw the shape made by slicing a triangular prism parallel to its bases.

29. Identify the cross section that best matches the given figure. 30. Which is a sketch of the cross section of a square pyramid that is cut parallel to its base? Describe the cross section. The cross section is a triangle. The cross section is a rectangle.

The cross section is a square. The cross section is a square. 31. Which of the following describes the horizontal cross section of the right rectangular prism shown? 6 m 8 m 5 m A square with side length 5 meters A rectangle with dimensions 5 meters by 8 meters A rectangle with dimensions 5 meters by 6 meters A rectangle with dimensions 8 meters by 6 meters 32. Find the circumference of the circle to the nearest tenth. Use 3.14 for π. 17 in. 2849.4 in. 907.5 in. 53.4 in. 106.8 in. 33. A circle has a diameter of 40 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for. 31.4 in. 283.4 in. 62.8 in. 1133.5 in. 34. A circle has a diameter of 28 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for. 35. Find the circumference of a circle that has a radius of 7 cm. Use 3.14 for. 21.98 cm 114.74 cm 43.96 cm 153.86 cm

36. To the nearest tenth, find the area of a circle with diameter of 6 m. Use 3.14 for. 37. A new statue with a circular base is being unveiled in a downtown park. The statue s base has a radius of 8 feet. What is the area of the base? Round your answer to the nearest whole number. Use 3.14 for π. 50 ft 2 631 ft 2 201 ft 2 804 ft 2 38. Which of the following is the correct formula for the area of a circle, where is the area and is the radius? 39. A circle has a circumference of 75.36 yards. What is its diameter? Use 3.14 for yar and round to the nearest 12 yards 24 yards 237 yards 473 yards 40. A flying disc has a -inch radius. What is its circumference? Use 3.14 for and round to the nearest inch. 15 inches 30 inches 31 inches 71 inches 41. What is the measure of ABD? 42. Which pair of angles are supplementary?

a and e a and b f and h g and f 43. Find the unknown angle measures. and are congruent. D k 126 A B C l F k = 63, l = 63 k = 54, l = 54 k = 27, l = 27 k = 18, l = 18 44. Use the diagram to find the measure of NPL. N Q L P 21 38 M m NPL = 121 m NPL = 59 m NPL = 69 m NPL = 49 45. Use the fact that and are complementary angles to find. C D A 35 B E F

46. Find the area of the triangle. 13 7 33 square units 91 square units 45.5 square units 10 square units 47. Amber is using 3 ft by 14 ft sheets of wallpaper to cover a rectangular wall that has an area of 240 ft 2. What is the least number of sheets of wallpaper she will need? 6 sheets 5.71 sheets 15 sheets 5 sheets 48. A square playground has an area of 175 m 2. What is the approximate length of each side of the playground? Round your answer to the nearest meter. 13 m 87.5 m 14 m 15 m 49. Jared is redoing his bathroom floor with tiles measuring 6 in. by 14 in. The floor has an area of 8,900 in 2. What is the least number of tiles he will need? 105 tiles 445 tiles 106 tiles 105.95 tiles 50. What is the surface area of the right rectangular prism shown in the figure? 5 m 7 m 9 m 51. What is the area of the composite figure shown?

12 ft 14 ft 12 ft 13 ft 11 ft 31 ft 52. A cone has a diameter of 6 inches and a height of 6 inches. Find the volume of the cone to the nearest tenth. Use 3.14 for. 53. To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 for. 54. To the nearest tenth, find the volume of a sphere with a diameter of 36 cm. Use 3.14 for. 55. A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume? Use 3.14 for. 56. Find the volume and surface area of a sphere with a radius of 2 cm to the nearest tenth. Use 3.14 for. Surface Area: Surface Area: Volume: Volume: Surface Area: Surface Area: Volume: Volume: 57. Find the volume of a sphere with a radius of 6 cm to the nearest tenth. Use 3.14 for π. 37.7 904.3 452.2 226.1 58. Find the volume of the cylinder. Use 3.14 for.

1200 3768 1884 28,260 59. Find the volume of the cylinder. Use 3.14 for. 298.5 cm 3 633 cm 3 367.4 cm 3 1,194.6 cm 3 60. Find the volume of the cone. Use 3.14 for π. Round your answer to the nearest tenth. 13.4 m 5.5 m 31.7 m 3 1,272.8 m 3 424.3 m 3 77.1 m 3 61. Find the volume of a cone with a base circumference of 17 in. and a height 5 in. less than twice the radius. Use 3.14 for π. Round your answer to the nearest tenth. 907.5 in 3 1,663.7 in 3 2,722.4 in 3 57.8 in 3 62. What is the volume of the cone with the given dimensions? Use 3.14 for tenth of a cubic inch.. Round your answer to the nearest

4.5 in. 1.75 in. 63. What is the formula for the volume of a sphere with diameter? 64. What is the ratio of the volumes of a cylinder and a cone having the same base radius and height? The volume of a cone is 3 times the volume of a cylinder. The volume of a cylinder is 3 times the volume of a cone. The volume of a cylinder is times the volume of a cone. The volumes of a cylinder and a cone are equal. 65. A ball has a radius of 8 cm. What is the volume of the ball? Use 3.14 for tenth of a cubic centimeter.. Round your answer to the nearest 66. An ice cream cone is shown. What is the volume of the ice cream cone? Use 3.14 for.

3 cm 11 cm 67. A triangle has sides with lengths of,, and. What is the perimeter of the triangle? 68. Simplify. 69. Solve. 70. What is the value of? 4 26 9 36 71. Meredith works 11 hours per day, 6 days a week. How many hours does she work in a 5-week period? 66 hours 330 hours 132 hours 462 hours 72. Irene bought 3 yards of fabric and a spool of thread for $28.10. If the spool of thread cost $1.25, how much did the fabric cost per yard? $8.95 $26.85 $9.37 $28.10 73. A hot air balloon is at an elevation of feet. If the balloon falls feet per minute, how long would it take for the balloon to reach feet?

45 minutes 50 minutes 95 minutes 145 minutes 74. Antonio has read at least 10 more books than Benji. If Benji has read 27 books, at least how many books has Antonio read? at least 37 books at least 17 books at most 37 books at most 17 books 75. Which expression is equivalent to? 76. Cynthia orders 27 prints of a photograph she took. It costs her a total of $242.73. Which equation can be used to find how much each print cost? 77. A rental car costs $25 for one day plus an additional $0.30 per mile. What is the cost of renting a car for one day and driving it 50 miles? $40.00 $57.50 78. A rental car costs $36 for one day plus an additional $0.42 per mile. What is the cost of renting a car for one day and driving it 78 miles? $68.76 $93.12 $70.08 $2,808.42 79. Kristina had 385 marbles. While walking through the kitchen she dropped the marbles, and 11 of them rolled under the refrigerator. Kristina divided the leftover marbles into 11 groups. How many marbles were in each group? 36 marbles 35 marbles 2 marbles 34 marbles 80. A rectangle has a length of centimeters and a width of x centimeters. The perimeter of the rectangle is 28 centimeters. What is the value of x? 6 4 7 5 81. What is a correct method of solving the equation for? First subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. First add 6 to both sides of the equation, and then divide both sides of the equation by 3. First subtract 6 from both sides of the equation, and then multiply both sides of the equation by 3. First add 6 to both sides of the equation, and then multiply both sides of the equation by 3. 82. What is the greatest possible integer solution of the inequality? 2.03 3 1 2

83. Larry has $389.00. A DVD player costs $97.00, and he can purchase used movies for $11.55 each. What is the greatest number of movies Larry can buy if he also buys a DVD player? at most 26 at most 25 at most 34 at most 43 84. Which of the following inequalities has a solution set described by the graph on the number line below? 5 4 3 2 1 0 1 2 3 4 5 85. Your middle school is having a carnival. Admission into the carnival is $8, and each game inside the carnival costs $0.50. Which of the following inequalities represents the possible number of games that can be played with $20? 86. Which of the following inequalities represents a solution set that has the variable equal to some number? being greater than or 87. Which of the following graphs describes the solution set of? 12 8 4 0 4 8 12 12 8 4 0 4 8 12

12 8 4 0 4 8 12 12 8 4 0 4 8 12 88. If an airplane in a 1 in.:4 ft scale drawing is 5 inches long, how long is the actual airplane? 20 ft 1.25 ft 9 ft 40 ft 89. If a tree in a 1 in.:2 ft scale drawing is 10 inches tall, how tall is the actual tree? 40 ft 12 ft 20 ft 5 ft 90. A photograph in a catalog has a scale of 2 in. : 5 ft. A tent in the photograph is 3 inches long. How long is the tent? 7.5 ft 8.5 ft 8 ft 9 ft 91. The dimensions of a photograph measuring 3 inches by 5 inches are enlarged to four times their original size. What are the new dimensions of the photograph? 12 inches by 20 inches 12 inches by 5 inches 7 inches by 9 inches 3 inches by 20 inches 92. On a scale drawing with a scale of 1 in:5 ft, a tree is 5 in. tall. How tall is the actual tree? 25 in. 25 ft 10 ft 30 ft 93. On a scale drawing with a scale of 41.6 feet 416 feet 64 feet 499.2 feet 94. What is the measure of ABD?, the height of a building is 7.8 inches. How tall is the actual building? 95. Find the measure of.

96. and are complementary. If m, what is m? m = m = m = m = 97. Find the measure of an angle whose complement is two times the measure of the angle. 98. Find the unknown angle measures. and are congruent. T V 76 h j Q R S h = 7, j = 7 h = 104, j = 104 h = 52, j = 52 h = 14, j = 14 99. Find the unknown angle measures. and are congruent. D k 126 A B C l F k = 63, l = 63 k = 54, l = 54 k = 27, l = 27 k = 18, l = 18 100. Use the diagram to find the measure of NPL. N Q L P 21 38 M m NPL = 121 m NPL = 59 m NPL = 69 m NPL = 49 101. Use the diagram to find the measure of PML.

N 52 121 Q L P M m PML = 59 m PML = 38 m PML = 21 m PML = 48 102. Use the fact that and are complementary angles to find. C D A 35 B E F 103. Which of the following is NOT a measure of an angle in the figure below? C D B A 2 x (2 x + 12) 60 ( x + 2) F E 104. To the nearest tenth, find the area of a circle with. Use 3.14 for. 105. Find the area of a circle with center (2, 3) that passes through (2, 7). Use 3.14 for. 106. To the nearest tenth, find the area of a circle with diameter of 6 m. Use 3.14 for.

107. Find the area of the circle. Use for π. Round your answer to the nearest hundredth. 31.5 cm 99 cm 2 198 cm 2 12,474 cm 2 3,118.5 cm 2 108. Find the number of revolutions made by a wheel with a radius of 5 ft that traveled 633 ft. Use 3.14 for π. Round your answer to the nearest tenth of a revolution. 40.3 revolutions 19,876.2 revolutions 8.1 revolutions 20.2 revolutions 109. Which of the following is the correct formula for the area of a circle, where is the area and is the radius? 110. A circle has a circumference of 75.36 yards. What is its diameter? Use 3.14 for yar and round to the nearest 12 yards 24 yards 237 yards 473 yards 111. A flying disc has a -inch radius. What is its circumference? Use 3.14 for and round to the nearest inch. 15 inches 30 inches 31 inches 71 inches 112. Find the area of the trapezoi

5 cm 17 cm 10 cm 15 cm 2 170 cm 2 510 cm 2 127.5 cm 2 113. Chandler and Tanisha have a backyard that is the shape of a trapezoi The bases of the trapezoid are 20.1 m and 29.3 m, and the height of the trapezoid is 17.9 m. Find the area of the backyard to the nearest tenth. The area of the backyard is 449.1 m 2. The area of the backyard is 262.2 m 2. The area of the backyard is 442.1 m 2. The area of the backyard is 179.9 m 2. 114. To determine the amount of wrapping paper needed for a rectangular box, Ryan finds the surface area of the box. How much wrapping paper is needed if the box measures 9 in. by 4 in. by 6 in? 228 in 2 of wrapping paper 216 in 2 of wrapping paper 114 in 2 of wrapping paper 180 in 2 of wrapping paper 115. What is the area of a parallelogram with base 2.5 feet and height 5.8 ft? 7.25 ft 2 14.5 ft 2 8.3 ft 2 36.25 ft 2 116. What is the volume of a rectangular prism that is 12 inches long, 7 inches wide, and 10 inches high? 840 in 190 in 420 in 84 in 117. Find the volume of the composite figure. Round your answer to the nearest tenth. Use 3.14 for. 411.5 ft 3 512 ft 3 311.0 ft 3 110.1 ft 3 118. Find the volume of the composite figure.

6,786 ft 3 1,872 ft 3 4,914 ft 3 2,032 ft 3 119. What is the surface area of the right rectangular prism shown in the figure? 5 m 7 m 9 m 120. What is the area of the composite figure shown? 12 ft 14 ft 12 ft 13 ft 11 ft 31 ft 121. Find the volume of the cylinder. Round your answer to the nearest tenth.

7mm 4 mm 87.9 mm 3 153.9 mm 3 175.8 mm 3 615.4 mm 3 122. To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 for. 123. A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume? Use 3.14 for. 124. A cylindrical pond has a 12 ft diameter, and the water in the pond is 4 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond? Use 3.14 for π. 150.72 min 1808.6 min 452.16 min 48 min 125. Find the volume of the composite figure. Round your answer to the nearest tenth. Use 3.14 for. 411.5 ft 3 512 ft 3 311.0 ft 3 110.1 ft 3 126. A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the volume to the nearest tenth. Use 3.14 for. 33.0 cm 3 65.9 cm 3 61.2 cm 3 69.2 cm 3 127. Find the volume of the cone. Use 3.14 for π. Round your answer to the nearest tenth.

13.4 m 5.5 m 31.7 m 3 1,272.8 m 3 424.3 m 3 77.1 m 3 128. What is the volume of the cone with the given dimensions? Use 3.14 for tenth of a cubic inch.. Round your answer to the nearest 4.5 in. 1.75 in. 129. A cylindrical soup can has a height of in. and a diameter of in. What is the volume of the soup can? Use 3.14 for. Round your answer to the nearest tenth of a cubic inch. 130. A ball has a radius of 8 cm. What is the volume of the ball? Use 3.14 for tenth of a cubic centimeter.. Round your answer to the nearest

Short Answer 1. Simplify the expression. 9r + 22 4r 5 2. Britney found these two solutions while doing her math homework: If she graphed the solutions on a number line, how would they differ? Explain why they are different. 3. Twenty-six less than twice a number is four. Find each number. 4. By dividing the number of houses in Antonio s subdivision by 4 and adding 15, you can find the number of houses in Hector s subdivision. If Hector has 47 houses in his subdivision, how many houses are in Antonio s subdivision? 5. If you triple the number of times Elizabeth has cooked dinner for her family and then add 4, you get the number of times her sister Joy has cooked the family s dinner. If Joy has cooked the family s dinner 25 times, how many times has Elizabeth cooked dinner? 6. A rental car costs $37 for one day plus an additional $0.29 per mile. What is the cost of renting a car for one day and driving it 83 miles? 7. The scale of a drawing is 3 mm : 7 cm. Find the unknown measure. length on drawing is 21 mm; length of object is? 8. A map uses a scale of 1 in. : 20 mi. Find the actual distance for a distance of 5.5 inches on the map. 9. For the scale, find how long a measure of 5 inches on a drawing would be on the actual object. 10. 2 in. : 4 ft

11. Julio s bedroom has the following floor plan. Part A: Find the perimeter of the room. Show your work. Part B: Find the area of the room. Show your work. 12. A farmer drew the following figure as an outline for a barn that he is planning to buil Part A: How many square meters of lumber will he need to build the exterior of the barn including the roof and floor? Show your work. Part B: How many cubic meters of straw would it take to fill the barn all the way to the roof? Show your work. 13. Find the volume of the cylinder. Use 3.14 for. 14. The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times greater than the volume of the table tennis ball? Show your work using ratios. Use 3.14 for. Round your answer to the nearest tenth. 15. What is the value of?

16. What is the value of? 17. What is the value of y? 18. Four times a number is increased by eight and decreased by twelve. The result is eighty. Find the number. 19. Andrew is given a weekly allowance of $17.50. He uses $4.50 for lunch on Monday. What amount at most can he spend each day if he wants to spend the same amount on each of the remaining 4 days? Part A: Write an inequality for the problem and solve. Part B: Graph the solution on a number line. 20. Use the following information. You have $75 to spend at a sporting goods store. You pick out a fishing rod for $52. Fishing lures are $4.75 each. Part A: Write a variable expression for the total cost of your purchase. Part B: Use the expression from Part A to write an inequality for the number of lures you can buy. Part C: Solve the inequality. Explain what the solution means in this case. 21. The scale of a drawing is 3 mm : 7 cm. Find the unknown measure. length on drawing is 21 mm; length of object is? 22. For the scale, find how long a measure of 5 inches on a drawing would be on the actual object. 2 in. : 4 ft 23. For the scale, find how long a measure of 5 inches on a drawing would be on the actual object. in. : 6 ft 24. A rancher has a scale drawing of a new horse stable. The scale is 1 inch : 3 feet. The drawing shows a rectangular area that is 15 inches by 30 inches. What are the perimeter and area of the new stable? 25. A blueprint shows the layout of a parking lot. Every 5 centimeters in the blueprint represents 4 meters of the actual parking lot. The length of the parking lot is 54 meters and the width is 36 meters. Find the length and the width of the parking lot on the blueprint. Use the results from part a to find the area of the parking lot on the blueprint. 26. Describe the two-dimensional figure formed by slicing a triangular pyramid parallel to its base. Sketch the figure. 27. A circle has a diameter of 60.8 in. Find the circumference to the nearest tenth. Use 3.14 for. 28. A circle with center at passes through. Find the circumference and area of the circle in terms of.

29. A circle has a diameter that measures 14 inches. What is the area of the circle to the nearest tenth? Use 3.14 for. 30. The diameter of Cassandra s bicycle wheel is 26 inches. What is the circumference? Use 3.14 for