Grade 8 Math Fourth Six Weeks Three Week Test

Transcription

1 Grade 8 Math Fourth Six Weeks Three Week Test STUDENT NAME TEACHER NAME

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4 1. Determine the distance between (-5, -3) and (7, 6). (8.7D, 8.1C) A. 9 units B. C. D. 10 units 12 units 15 units

5 2. There is an empty lot next to the school. Some of the students cut diagonally through the lot and some walk around on the sidewalk. If the lot is 60 feet wide and 80 feet long, approximately how much shorter is the shortcut than staying on the sidewalk? (8.7C, 8.1B) Record your answer and fill in the bubbles on your answer document. 3. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond? (8.7C, 8.1A) A. 22 Meters B. 34 Meters C. 53 Meters D. 75 Meters

6 4. The diagonal of a big screen television measures 152 cm. The length measures 132 cm. What is the height of the screen?(8.7c,8.1c) F. 23, 104 cm G cm H cm J cm 5. When a coordinate grid is superimposed on a map of Rosenberg, Terry high school is located at (2,6) and Travis park is located at (-4, -2). If each unit represents 1 mile, how many miles apart are the high school and park? (8.7D,8.1D) Record your answer and fill in the bubbles on your answer document.

7 6. Estimate the area of the square whose edge is the length of the hypotenuse of the triangle using the grid squares. (8.6C,8.1A) F. 6 units 2 G. 9 units 2 H. 16 units 2 J. 25 units 2 7. Which group of three sides will form a right triangle when joined? (8.7C,8.1D) A. 7 cm, 3 cm, 12 cm B. 8 cm, 15 cm, 17 cm C. 12 cm, 6 cm, 9 cm D. 10 cm, 18 cm, 8 cm 8. A paper drinking cup in the shape of a cone has a height of 5 centimeters and a diameter of 4 centimeters. Which of the following is closest to the volume of the cup when it is half full in cubic centimeters? (8.7A, 8.1A) F cm 3 G cm 3 H cm 3 J cm 3

8 9. A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram. Which measurement is closest to the volume of the party hat in cubic inches? (8.7A, 8.1A) A in. 3 B in. 3 C in. 3 D in A storage container for oil is in the shape of a cylinder with a diameter of 10 ft. and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet? (8.7A, 8.1A) F. 534 ft 3 G. 1,335 ft 3 H. 691 ft 3 J. 1,696 ft 3

9 11. The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below. What is h, the total height in feet of the piece of plywood? (8.7C,8.1A) Record your answer and fill in the bubbles on your answer document.

10 12. A cylindrical glass vase is 6 inches in diameter and 12 inches high. There are 3 inches of sand in the vase, as shown below. Which of the following is closest to the volume of the sand in the vase? (8.7A,8.1A) F. 254 in. 3 G. 85 in. 3 H. 339 in. 3 J. 54 in. 3

11 13. Look at the drawing below. It shows that ΔPTW is a right triangle formed by joining 3 squares at their vertices. What is the area of the shaded square? (8.6C,8.1A) A. 12 square feet B. 25 square feet C. 5 square feet D. 27 square feet

12 14. Sierra has 300 cubic inches of cake batter. She plans to make a layer cake using 2 identical cylinder pans, which set of pans would be the best fit for Sierra s cake? (8.6a, 8.1A) Set of Pans Height 2 inches 1 inch 2.5 inches 1.75 inches Diameter 5 inches 14 inches 8 inches 6 inches F. Set 1 G. Set 2 H. Set 3 J. Set For storage Mrs. Lin uses cylindrical containers like the one shown below. If Mrs. Lin uses 2 of these containers, which is closest to the total volume of both containers? (8.6A,8.1B) A. 16 cubic feet B. 6 cubic feet C. 8 cubic feet D. 13 cubic feet