1) Find the circumference and area of a circle with diameter of 15.8 in? (7.GM.5)
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1 7.GM Unit 4 Practice Test 1) Find the circumference and area of a circle with diameter of 15.8 in? (7.GM.5) 2) What are the characteristics of each type of angle of adjacent, complementary, supplementary and vertical angles? (7.GM.4c 3.) Make a list of 2- D shapes that would be created from cross cuts (angled, horizontal, and vertical) from a rectangular prism and a square pyramid. (7.GM.6b) 4) Jennifer made a map of the local amusement park using a scale factor of 2 inch = 0.25 mile. Reading the map, the distance between the roller coaster and the Octopus ride is 12 inches. What is the actual distance in miles? (7.GM.1) Directions. Use the picture to answer questions ) Calculate the total volume of the tent in cubic feet. (7.GM.6d) 6) Calculate the total surface area of the tent in square feet. (7.GM.6d) 7) Two sides of a triangle measures 4in and 8in. What is the minimum side length of the third side? 8) Create a list of ALL the information you can determine from the picture below. (7.GM.5)
2 9) Find the area of each shape below, if each space on the coordinate plane is 1 unit by 1 unit. (7.GM.6a) 10) A bike company is creating a smaller version of the bike shown below. The new size will be proportional to the original bike. If they use a scale factor of 0.5 (or 50% of the actual size), what will be the height of the smaller model? Use the measurements in. and 28.5 in. (7.GM.1) 11) In 2002, Mr. Pletcher s 4 th grade class built the oval circle in the Butterfly Garden at North Hartsville Elementary School. The diameter of the circle was 15 feet. What is the area, circumference and radius of the circle? (7.GM.4) 12) Find the area of a circular garden with a radius of 9 feet. Round to the nearest tenth. 13) (Choose 2) Which of the following side lengths will create a triangle? A. 9in, 4in, 4in C. 7in, 4in, 5in B. 6in, 6in, 12in D. 5in, 8in, 11in
3 14) The picture shows the rectangular poster. If Angle 1 is 45 degrees, which are true about angles 1 and 2? Choose all that are correct. a. They are adjacent angles c. They are complementary angles b. They are congruent angles d. They are supplementary angles 15) Line segment DB is perpendicular to line segment AC. What is the sum of angles A,B, C? 16) What is the measurement of angle B? 17) The actual length of line segment DE is 10cm. What is the actual measurement of line segment DF? 18) What is the value of y in the triangle? (7.GM.2)
4 Use the figure below to answer questions #19 and #20. 19) What is the name of the figure above? A. hexagonal prism C. triangular prism B. rectangular prism D. triangular pyramid 20) What would be the cross section from a vertical slice, not through the top, of a square pyramid? A. circle B. rectangle C. trapezoid D. triangle 21) What is the classification of the triangle by its angles and by its sides? a. acute, equilateral triangle c. obtuse, isosceles triangle b. acute, isosceles triangle d. obtuse, equilateral triangle 22) Find the area of the composite shape. 23) Find the shaded area of the composite shape. 24) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 0.5 inch = 3 feet to draw his floor plan. What will be the width of his office on the floor plan? (7.GM.1) a. 2 inches b. 2.5 inches c. 3 inches d. 3.5 inches 25) John is looking at a map with a scale of 0.25 inch = 20 miles. He measured the distance from his home to the bowling alley in town as 2.5 inches on the map. What is the actual distance John needs to travel to get to the bowling alley from his home? Explain your thinking. (7.GM.1)
5 Answer Document 1. 7.GM.5 Area & Circumference of a Circle 2. 7.GM.4c Vertical Angles 3. 7.GM.6b Cross Section 4. 7.GM.1 Scale factor of a Map 5. 7.GM.6d Triangular Prism- Volume 6. 7.GM.6d Triangular Prism- Surface Area 7. 7.GM.2 Find possible side lengths of a triangle 8. 7.GM.5 Angles 9. 7.GM.6a Circumference GM.1 Scale Model to GM.4 Circumference of a circle GM.4 Area of a circle GM.2 Side lengths of a triangle GM.5 Adjacent and complementary angles GM.5 Sum of angles in a triangle GM.5 Find measurement of a triangle GM GM.2 Finding an angle of a triangle GM Identifying a 3- D shape GM.3 Cross section of a triangular prism GM. Classification of triangles GM.6 Area of a Composite Shape GM.6 Area of a Composite Shape 24.? 7.GM.1 Scale Factor 25.? 7.GM.1 Scale Factor
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