TEST NAME: Geometry TEST ID: 489169 GRADE:07 SUBJECT:Mathematics TEST CATEGORY: School Assessment Geometry Page 1 of 17
Student: Class: Date: 1. Mr. Koger asked the students in his class to construct a triangle with a right angle, a 3 cm side, and a 6 cm side. Part A. Sketch a triangle that meets these conditions. Label the right angle and the 3 cm and 6 cm sides. Part B. Do any other possible triangles fit these conditions? If so, sketch the other possible triangles and label the right angle and sides. Use words, numbers, and/or pictures to show your work.. Elaine drew the model below of her room and bed. The scale of the model is 1 in. = ft. What is the approximatearea of her actual bed? A. 7 ft B. 14 ft C. 4 ft D. 8 ft Geometry Page of 17
3. Mario ordered a pizza that had a diameter of 14 in. What is the approximate area of the pizza? A. in. B. 44 in. C. 154 in. D. 616 in. 4. What two dimensional shape would result from slicing through this right rectangular prism from one edge to another? A. a square B. a triangle C. a rectangle D. a pentagon Geometry Page 3 of 17
5. A patio surface is composed of a trapezoid and a rectangle. The dimensions, in yards (yd), of the patio surface are shown. What is the area of the patio surface in square yards? A. 180 B. 0 C. 40 D. 300 6. A room on a scale drawing has the dimensions 8 cm by 1 cm. The scale of the drawing is cm = 3 ft. What are the actual dimensions of the room? A. 5 ft by 8 ft B. 1 ft by 18 ft C. 4 ft by 36 ft Geometry Page 4 of 17
7. The vertex of an isosceles triangle is an angle of 50, as shown below. What is the measurement of one of the other two angles? A. 40 B. 65 C. 75 D. 130 8. A right rectangular prism is sliced by a plane. Which CANNOT be the shape of the cross section formed by the slice? A. a parallelogram B. an octagon C. a trapezoid D. a triangle Geometry Page 5 of 17
9. Tricia made a circular mat from a square piece of cloth. Which is closest to the circumference, in inches, of the circular mat? A. 44 inches B. 88 inches C. 154 inches D. 616 inches 10. Carla makes a scale drawing of her garden that is 30 feet long and 4 feet wide. If the garden in her drawing is 0 inches long, what is its width, in inches? A. 14 B. 16 C. 5 D. 6 Geometry Page 6 of 17
11. Workers put a sidewalk completely around a building that measures 40 ft by 60 ft. The sidewalk is 5 ft away from each side of the building. The sidewalk is 3 ft wide. What is the area of the sidewalk? A. 64 ft B. 756 ft C. 3,500 ft D. 4,56 ft Geometry Page 7 of 17
1. Yolanda has a circular tablecloth. She wants to put a ribbon around the outside edge. She knows that the area of the tablecloth is. Which expression would help her find the number of meters of ribbon she will need to go around the outside edge of the tablecloth? A. B. C. D. 13. Look at the figure below. What is the value of x? A. 19 B. C. 67 D. 71 Geometry Page 8 of 17
14. Part A. Jeremy wants to put a fence around a circular swimming pool. He knows the area of the pool's top surface is square meters. How much fencing does Jeremy need for the pool? Be sure to show all work. Part B. A second pool has an area on its top surface that is 0% greater than the pool in part A. What is the measure of the radius, in meters, of the second pool? Be sure to show all work. Part C. What is the cost for fencing the pool in part B if one meter of fence cost $65? Use words, numbers, and/or pictures to show your work. 15. A Stegosaurus skeleton at a museum has a height of 4 meters. The gift shop at the museum sells a model of the Stegosaurus. The scale used to create the model was 1 cm = 0.16 m. What is the height, in centimeters, of the model of the Stegosaurus the gift shop sells? A. 0.04 m B. 0.064 m C. 0 cm D. 5 cm 16. Ms. Warren had each student take 3 pencils and create a triangle with them. Roberto has 3 pencils that measure 1 cm, 5 cm, and 7 cm. How many triangles can Roberto create with his 3 pencils? A. infinitely many B. two C. one D. none Geometry Page 9 of 17
17. The square pyramid below is intersected by plane A. The plane forms a cross section. What is the shape of the cross section created by plane A? A. rhombus B. square C. trapezoid D. triangle 18. What is the approximate area of the circle below? A. 19 ft B. 38 ft C. 75 ft D. 113 ft Geometry Page 10 of 17
19. What is the approximate circumference of a circle with a radius of 5 in.? A. 16 in. B. 0 in. C. 31 in. D. 79 in. 0. Alex is painting the interior of a rectangular box. The interior of the box measures 1 in. wide, 1 in. long, and 6 in. high. If the lid is missing, how much area will Alex paint? A. 144 in. B. 88 in. C. 43 in. D. 864 in. 1. The area of the triangle below is 44 in. What is the length of the base (x)? A. in. B. 4 in. C. 6 in. D. 8 in. Geometry Page 11 of 17
. A plane slices through a prism parallel to the bases to create a cross section shaped like a right triangle. If the prism stays in the same location, how could the plane be moved to create a cross section shaped like a rectangle? A. move the plane so it slices through the prism perpendicular to the bases B. move the plane so it slices through the prism intersecting the bases at 45 angles C. move the plane up so it slices through the prism at a higher height still parallel to the base D. move the plane down so it slices through the prism at a lower height still parallel to the base Geometry Page 1 of 17
3. What is the surface area of the rectangular prism below? A. 79 in. B. 10 in. C. 158 in. 4. The length of two sides of triangle XYZ are 6 cm and 10 cm. Which set of inequalities represents all the possible lengths, L, of of the third side of triangle XYZ? A. L > 6 and L < 10 B. L 6 and L 10 C. L > 4 and L < 16 D. L 4 and L 16 5. A rectangular prism is cut perpedicular to its base. What two dimensional figure is formed by the cross section? A. triangle B. trapezoid C. rectangle Geometry Page 13 of 17
6. Daniel painted the exterior of a wooden 7 cm cube. He did not paint the bottom of the cube. How much area of the cube did Daniel paint? A. 196 cm B. 45 cm C. 94 cm D. 343 cm 7. One side of a triangle measures 10 inches. Which could be the measures of the other two sides of the triangle? A. 3 inches and 8 inches B. 4 inches and 6 inches C. 5 inches and 15 inches D. 6 inches and 18 inches 8. The diameter of a circle on a coordinate plane has endpoints at (, 3) and (, 8). What is the approximate area of the circle? A. 16 units B. 0 units C. 5 units D. 79 units Geometry Page 14 of 17
9. The image below shows a plane slicing a cone. If the plane does not slice the base, which two dimensional figures could be the result from slicing a cone with a plane? A. a circle or an ellipse B. a triangle or a circle C. a triangle or a parallelogram D. an ellipse or a parallelogram 30. A builder made a scale drawing of a rectangular room. The drawing has a length of 6 inches and a width of 4.5 inches. The actual room will have a length of 18 feet. What will be the area of the actual room? A. 43 square feet B. 60 square feet C. 43 square feet D. 486 square feet Geometry Page 15 of 17
31. The scale on a map is 1 inch = miles. The distance between two streets on the map is inches. What is the actual distance between these streets? A. miles B. miles C. miles D. miles 3. An architect created a scale model of a building she designed, as shown below. The ratio of the scale model to the actual building is inches (in.) to 15 feet (ft). What is the width of the actual building? A. B. C. D. Geometry Page 16 of 17
33. Lara draws some triangle models with the measurements she wants to use to construct them. Which of these triangle constructions would NOT be possible? A. a triangle with side measurements of 3, 4, and 6 inches B. a triangle with side measurements of, 3, and 5 inches C. a triangle with side measurements of 3, 3, and 4 inches D. a triangle with side measurements of 5, 5, and 5 inches 34. In the figure below, OQP is a right angle. What is the measurement of LQM? A. 19 B. C. 31 D. 38 35. A triangle has two angles that measure 40 and 100. What type of triangle is this? A. scalene B. isosceles C. equilateral Geometry Page 17 of 17