TEST NAME: Geometry TEST ID: 115140 GRADE: 06 SUBJECT: Mathematics TEST CATEGORY: My Classroom Geometry Page 1 of 54
Student: Class: Date: 1. Lisa had two vases with dimensions as shown below. Which statement about the volume of vase R is true? A. Volume of R = Volume of S B. Volume of R = Volume of S C. Volume of R = Volume of S D. Volume of R = Volume of S Geometry Page 2 of 54
2. Jake mounted his mailbox on a brick stand shaped like a right rectangular prism. What is the volume of Jake's mailbox stand? A. 9 ft 3 B. 9 ft 2 C. 11 ft 2 D. 12 ft 3 Geometry Page 3 of 54
3. Mrs. Walters asked her students to draw the net of the cube below. Which net will form the cube when folded along the dashed line segments? A. B. C. D. Geometry Page 4 of 54
4. The dimensions of two overlapping rectangles are shown. What is the area in square units of the entire region? A. 20 B. 30 C. 44 D. 50 5. The net of Andrew's cube shaped box is shown below. Ben wants to make a cube shaped box with a surface area that is one fourth that of Andrew's box. What should be the measurements of Ben's box? A. 2cm 2cm 2cm B. 8cm 8cm 8cm C. 4cm 4cm 4cm D. 16cm 16cm 16cm Geometry Page 5 of 54
6. Lydia's company puts paint in cans that are in the shape of right circular cylinders. Which measure of the cans must be known in order to calculate the amount of paint that goes into the cans? A. Area B. Perimeter C. Surface Area D. Volume 7. Tom was remodeling the bathroom in his house. The floor of the bathroom is shaped as shown in the diagram. Which is closest to the area in square feet of the bathroom floor? A. 85 B. 57 C. 55 D. 53 8. Which solid can be made by folding the net below along the dashed lines? Geometry Page 6 of 54
A. B. C. Geometry Page 7 of 54
D. 9. David calculated the perimeter of a window to be 128 inches. Which of the following could be the window for which David found the perimeter? A. A rectangular window with an area of 256 square inches B. A rectangular window with a width of 60 inches and a height of 68 inches C. A square window with a side length of 34 inches D. A square window with a side length of 32 inches 10. Look at the figure. What is the total area of the figure? A. 60 sq in. B. 78 sq in. C. 110 sq in. D. 168 sq in. Geometry Page 8 of 54
11. The diagram shows the approximate measurements of a paper model of the front of a house. Which is closest to the area of the paper model? A. 195.5 sq in. B. 216.8 sq in. C. 246.5 sq in. D. 289.0 sq in. 12. Sheryl's kitchen table has a circular wooden tabletop with a rectangular marble center as shown. If the diameter of the tabletop is 6.2 feet, which is closest to the area in square feet of the tabletop, excluding the marble center? A. 10 B. 15 C. 20 D. 50 Geometry Page 9 of 54
13. Dan cut out a piece of cardboard as shown below to make a box by folding along the dotted lines. What is the surface area in square centimeters of the box? A. 16 B. 64 C. 80 D. 96 Geometry Page 10 of 54
14. Paul drew a triangle on a graph as shown below. Which is closest to the area in square units of the triangle? A. 12 B. 15 C. 28 D. 30 Geometry Page 11 of 54
15. Which geometric solid can be made by folding the net shown below along the dashed lines? A. Cube B. Hexagon C. Square pyramid D. Triangular prism 16. A rectangular prism is shown below. The edges of each small cube have a measure of 1 centimeter. Which of these could be used to find the volume of the rectangular prism? A. 2 80 + 2 8h + 2 10h B. 4 h + 48 + 4 10 C. 8(10) (h) D. 8 + 10 + h Geometry Page 12 of 54
17. Mr. Desai is going to have new carpet installed on his rectangular living room floor. Part of the floor plan of his house is shown below. What is the area in square feet of Mr. Desai's living room floor? Show or explain how you got your answer. 18. Giselle uses beads to make bracelets as presents. She stores her extra beads in a container that is shaped like a right circular cylinder. The container is 8 inches tall. The container has a radius of 4 inches. The container is full of beads. Which is closest to the amount of space in cubic inches that is available for more beads? A. 50 cu in. B. 100 cu in. C. 200 cu in. D. 400 cu in. 19. A picture in the shape of a square on Janelle's wall has a perimeter of 36 inches. What is the area in square inches of the picture? Show or explain how you got your answer. Geometry Page 13 of 54
20. Each shaded rectangle below is made of congruent tiles. In which of these could all the tiles be rearranged to form a shaded square with the same area as the shaded rectangle? A. B. C. D. 21. What is the area in square inches of this figure? A. 12 B. 9 C. 7 D. 6 Geometry Page 14 of 54
22. A pet shop has aquariums shaped like rectangular prisms with different dimensions as shown in the table below. Pet Shop Aquariums Based on the data in the table, which of the following can be used to determine h, the height of the aquarium that has a volume of 5,040 cubic inches? A. B. C. D. Geometry Page 15 of 54
23. The picture below shows the net of a rectangular prism. What is the surface area in square inches of the rectangular prism represented by this net? A. 70 B. 92 C. 220 D. 276 24. The parallelogram below represents the playground at a school. What is the area in square meters of the playground? A. 36 B. 72 C. 108 D. 648 Geometry Page 16 of 54
25. Fiona drew the figure shown below. The area of rectangle BEDF is 24 square centimeters. What is the area in square centimeters of triangle ABC? A. 30 B. 50 C. 100 D. 200 Geometry Page 17 of 54
26. Which net when folded along the dashed lines forms a square pyramid? A. B. C. D. Geometry Page 18 of 54
27. Mr. Hans bought a flowerpot shaped like a cube with the dimensions shown below. What is the volume of the flowerpot? A. 120 cm 2 B. 2,700 cm 3 C. 27,000 cm 2 D. 27,000 cm 3 28. The shape and measurements of a drum are shown below. Which is closest to the volume in cubic inches of the drum? A. 252 B. 791 C. 4154 D. 16,617 Geometry Page 19 of 54
29. Doug has 24 feet of fence to use for enclosing a dog pen. He wants the dog pen to be rectangular but not square. Which of these dimensions describes a rectangle with the greatest area? A. 2ft 10ft B. 3ft 9ft C. 4ft 8ft D. 5ft 7ft 30. Valerie's front door is shaped like a rectangle with a semicircular window at the top as shown. Valerie wants to paint the outside of her front door except for the window. Which of the following is closest to the area in square feet of the part of the door that Valerie wants to paint? A. 14.7 B. 15.9 C. 19.4 D. 22.6 Geometry Page 20 of 54
31. George has a wooden chest with the dimensions shown below. What is the volume in cubic inches of the chest? A. 490 B. 1,018 C. 1,170 D. 18,000 Geometry Page 21 of 54
32. Terry is putting carpet on a floor shaped like a rectangle with a triangle on top as shown below. Which of the following should Terry use to determine the area of the floor? A. B. C. D. Geometry Page 22 of 54
33. Natalie drew a figure consisting of parallelogram ABCD and rectangle BCYX. What is the area in square inches of parallelogram ABCD? A. 35 B. 28 C. 24 D. 16 34. A rectangular napkin has a perimeter of 30 inches and an area of 50 square inches. Tina estimated the length of the napkin to be about 8 inches and the width to be about 7 inches. Which of the following is true about Tina's estimate? A. It is correct because the length and width are not equal. B. It is not correct because only the perimeter was used to find the estimate. C. It is correct because the area was used to arrive at the estimate. D. It is not correct because the length is greater than the width. Geometry Page 23 of 54
35. The dimensions of a tent are shown in the figure below. What is the volume in cubic feet of the tent? A. 15 B. 60 C. 120 D. 600 36. Which net, when folded along the dashed line segments, will form a rectangular prism? A. Geometry Page 24 of 54
B. C. D. Geometry Page 25 of 54
37. A furniture store gives customers paper models of furniture. The customers can use the models to try different room layouts. Which type of measurement represents the amount of floor the paper models can cover? A. Area B. Width C. Volume D. Perimeter 38. Adrian has to lay tiles on the floor of a foot deep wading pool. He has the following information for laying the tiles: The wading pool is square in shape. The perimeter of the pool is 120 feet. Each tile covers an area of 2 square feet. How many tiles would be required to cover the entire floor of the wading pool? A. 240 B. 350 C. 450 D. 900 39. The diagram shows the dimensions of Jeff's aquarium. If the height of the water is 3 inches from the top of the aquarium, which is closest to the volume in cubic inches of the water? A. 840 B. 1440 C. 5280 D. 6720 Geometry Page 26 of 54
40. What is the surface area in square inches of the box? A. 162 B. 294 C. 324 D. 360 41. The net of a rectangular prism is shown below. What is the surface area in square feet of the rectangular prism represented by this net? A. 122 B. 110 C. 66 D. 50 Geometry Page 27 of 54
42. The picture below shows the total number of bricks Mr. Daniel had on Monday morning. Mr. Daniel built three brick mailboxes during the week. He used the same number of bricks for each mailbox. Mr. Daniel did not buy any additional bricks. The stack of bricks shown below is the number of bricks he had remaining after building the three mailboxes. What is the number of bricks that Mr. Daniel used to build one mailbox? A. 45 B. 95 C. 120 D. 145 43. Joe drew a rectangle with a perimeter of 28 units. What is the greatest area the rectangle could have? A. 24 square units B. 40 square units C. 49 square units D. 196 square units Geometry Page 28 of 54
44. Kate had 1.5 liters of milk in one container. She poured the milk into an empty second container that had the capacity to hold 4 to 6 times more milk than the first container. Which is closest to the greatest volume in liters of milk the second container can hold? A. Less than 3 liters B. From 3 to 5 liters C. From 6 to 9 liters D. Greater than 9 liters 45. Tyrone cut out the letter "T" from a piece of green poster board and put it on the book cover of his math book. The dimensions of the letter are shown below. Which is closest to the area in square inches of Tyrone's letter? A. 57 B. 48 C. 38 D. 25 Geometry Page 29 of 54
46. Simon plans to carpet the floor of a rectangular room as represented by the shaded part of the diagram below. The corners of the room are shaped like congruent squares. What is the area in square feet of the part of the floor Simon plans to carpet? A. 64 B. 70 C. 112 D. 160 Geometry Page 30 of 54
47. The size and shape of a chocolate bar are shown in the figure below. What is the volume in cubic centimeters of the chocolate bar? A. 144 B. 72 C. 62 D. 40 Geometry Page 31 of 54
48. Polly has paperweights shaped like cubes with different heights as shown below. Which of the following can be used to calculate the volume in cubic inches of Polly's 5 inch tall paperweight? A. 5 5 5 B. 5 5 3 C. 5 + 5 + 5 D. 5 5 6 Geometry Page 32 of 54
49. The measurements in inches of a tabletop are shown below. What is the area in square inches of the tabletop? A. 216 B. 252 C. 342 D. 684 50. What is the area in square centimeters of the triangle shown? A. 7.5 B. 9.5 C. 15 D. 30 Geometry Page 33 of 54
51. Julie built a fence that is 2 feet tall around the perimeter of her garden. The garden is shaped like a regular hexagon as shown. If Julie paints only the outside of her fence, what is the total area in square feet that Julie will paint? A. 16 B. 32 C. 48 D. 96 52. Simon created a net of a rectangular prism as shown below. What is the surface area in square centimeters of the rectangular prism? A. 104 B. 112 C. 308 D. 356 Geometry Page 34 of 54
53. Teri drew parallelogram ABCD and rectangle AXYD so that triangle ABX is congruent to triangle DCY Which of the following statements about the area of parallelogram ABCD is true? A. It is equal to a b square units because it is equal to the area of the quadrilateral AXCD B. It is equal to a + b square units because it is equal to the sum of the areas of triangle ABX and triangle DCY C. It is equal to a b square units because it is equal to the area of rectangle AXYD. D. It is equal to 2a 2b square units because it is equal to the area of rectangle AXYD. 54. Robert has storage boxes shaped like rectangular prisms with different measurements and volumes as shown in the table below. Storage Boxes Based on the data in the table, which of the following statements is true about w, the width of the 8,000 cubic centimeter box? A. The width w is 8,000 minus the product of the length and height. B. The width w is the square of 20 divided by 8,000. C. The width w is 8,000 divided by the square of 20. D. The width w is equal to the length cubed. Geometry Page 35 of 54
55. Mr. Smith built a sandbox with the dimensions shown. Mr. Smith said the sandbox holds 144 cubic feet of sand. Which of the following best explains why his statement is NOT reasonable? A. His measurement is not reasonable because 4 6 6 is not equal to 144. B. His measurement is not reasonable because is not close to 144. C. His measurement is not reasonable because is not close to 144. D. His measurement is not reasonable because 2 4 6 is not close to 144. Geometry Page 36 of 54
56. Which solid figure could be formed when folding the net along the dashed line segments? A. B. C. D. Geometry Page 37 of 54
57. Rita and Annie have pencil boxes that are the same height but different shapes as shown. If p and b of both pencil boxes have the same value, which of the following statements is true about the volume of the two pencil boxes? A. The volume of Annie's pencil box is two times that of Rita's pencil box. B. The volume of Annie's pencil box is the same as that of Rita's pencil box. C. The volume of Rita's pencil box is two times that of Annie's pencil box. D. The volume of Rita's pencil box is three times that of Annie's pencil box. Geometry Page 38 of 54
58. Mr. Stern plans to spread fertilizer on his lawn as labeled in the diagram below. Mr. Stern plans to cover his entire lawn with fertilizer one time. If each bag of fertilizer will cover 2800 square feet, what is the least number of bags of fertilizer he should buy? A. 1 B. 2 C. 3 D. 4 Geometry Page 39 of 54
59. Mr. Villarreal wants to wallpaper the surface of the rectangular shaped wall shown, not including the rectangular shaped door and window. What is the area in square feet of the surface Mr. Villarreal wants to wallpaper? A. 147 B. 163 C. 180 D. 213 Geometry Page 40 of 54
60. Carl drew the figure shown. Which equation could be used to find A, the area of the shaded region of Carl's figure? A. A = s t B. A = t C. A = D. A = (s + 3) t Geometry Page 41 of 54
61. Shania's bathroom cabinet is in the shape of a rectangular prism. The cabinet's dimensions are shown below. What is the volume in cubic feet of Shania's bathroom cabinet? A. 52 B. 24 C. 12 D. 11 Geometry Page 42 of 54
62. Jeremy wants to repaint one of the walls in his bedroom. The wall is shaped like the trapezoid shown below. What is the area in square feet of the wall Jeremy wants to repaint? A. 54 B. 70 C. 80 D. 140 63. In this table, the side lengths of a shape are used to calculate a measure. The side lengths in units and the solution are shown. Measures The solutions given in the table correspond to which of the following measures? A. Circumferences of cylinders B. Perimeters of squares C. Volumes of cubes D. Areas of squares Geometry Page 43 of 54
64. The picture shows the outline of a park. The section labeled A was planted with new grass. The entire area of the park is about 50,000 square yards. Which is closest to the area in square yards of section A? A. 5000 B. 10,000 C. 15,000 D. 20,000 65. The park near Trudy's house is rectangular in shape. The perimeter of the park is 24 kilometers. Which of the following is closest to the greatest area in square kilometers the park could have? A. 11 B. 24 C. 36 D. 45 Geometry Page 44 of 54
66. Quadrilateral PQST is a rectangle. What is the area in square centimeters of quadrilateral PRST? A. 24 B. 80 C. 84 D. 108 Geometry Page 45 of 54
67. Susan had two molds, P and Q, to make candles. The shapes and the sizes of each mold are shown below. Which of the following statements is true about the volume of mold P? A. Volume of Volume of Q B. Volume of P = 2p Volume of Q C. Volume of P = p Volume of Q D. Volume of Volume of Q 68. Ed's garden has the shape of a square with an area of 100 square feet. If he wants to build a fence around the entire garden, what is the minimum number of feet of fencing he will need? A. 400 B. 40 C. 25 D. 10 Geometry Page 46 of 54
69. Sandra wanted to make a large model of a 6 sided number cube. She cut 6 square pieces to form its faces and joined their edges to make the model. One of the square pieces with its side length in inches is shown below. What is the surface area of the model in square inches? A. 294 B. 284 C. 196 D. 42 Geometry Page 47 of 54
70. Gina has a jar like the one shown below. What is the volume in cubic centimeters of the jar? A. 703.36 B. 452.16 C. 224 D. 112 Geometry Page 48 of 54
71. Abel drew the top view of a new desktop workspace he is designing. He labeled his drawing with the dimensions in feet as shown below and shaded the part that represents the desktop. Which of the following should Abel use to calculate the area in square feet of the desktop? A. B. C. D. Geometry Page 49 of 54
72. Triangle XYZ is shown below. Which triangle has the same area as ΔXYZ? A. B. C. D. Geometry Page 50 of 54
73. Nancy bought a bag of pebbles to put in her garden. She weighed the bag of pebbles on the scale shown below. Which is closest to the total weight in pounds of 5 such bags of pebbles? A. 175 B. 225 C. 275 D. 300 74. Which net could be folded along the dotted line segments to form a cube? A. B. C. D. Geometry Page 51 of 54
75. The supply room in an office building needs new flooring. The dimensions of the floor are shown. Which is closest to the area of the supply room floor? A. 800 sq ft B. 1200 sq ft C. 1800 sq ft D. 2400 sq ft 76. Loren drew parallelogram TQRS and rectangle TLMS as shown below. If the area of parallelogram TQRS is 56 square inches, what is the width in inches of rectangle TLMS? A. 7 B. 9 C. 30 D. 56 77. Which net, when folded along the dashed line segments, will form a square pyramid? Geometry Page 52 of 54
A. B. C. D. Geometry Page 53 of 54
78. Clark designed a square tabletop with an area of 25 square feet. What is the perimeter of the tabletop? Show or explain how you got your answer. Geometry Page 54 of 54