Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding 1) Mr. and Mrs. Hunter tiled their rectangular porch using 1ft. by 1ft. square tiles. The rectangular porch measured 20 feet by 15 feet. What process would you follow to determine how many tiles they used? (M-C#3b) A. Multiply the length and the perimeter of the porch together. B. Add the length and the width of the porch together. C. Double the length and the width of the porch and add them together. D. Multiply the length and the width of the porch together A) Draw two rectangles that have the same area but different perimeters. Label the dimensions. Give the area and the perimeter of both rectangles. (4 points) (M-B#5) 2) Maddie will paint one rectangular wall of her bedroom. The wall measures 9 feet by 8 feet. What is the area of the wall that Maddie will paint? (M-C#3b) A. 17 square feet B. 72 square feet C. 34 square feet D. 81 square feet
B) Find the area and perimeter of the parallelogram below. Show your work or explain your reasoning in your answer booklet. (2 points) (M-C#3b) 3 cm 2 cm 9 cm 3) Jake is planning to redecorate his bedroom. He measured the room and made the rough sketch shown below. He is planning to buy paint for the walls and ceiling. What will he need to find to figure out how much paint to buy? (M- E#4) A. Surface Area B. Perimeter C. Volume D. Area 4) What is the relationship between the area of the triangle and the area of the rectangle below? (M-C#3a) A. The area of the triangle is the same as the area of the rectangle. B. The area of the triangle is twice the area of the rectangle. C. The area of the triangle is half the area of the rectangle. D. The area of the triangle is one-fourth the area of the rectangle.
5) Tanner knows the diameter of his bicycle tire is 20 inches but he needs to find the circumference. Which method can Trevor use the find the circumference of his bicycle tire? (M-C#2) A. Add the diameter to π. B. Divide the diameter by 2 to find the radius and multiply by π. C. Divide the diameter by π. D. Multiply the diameter by π. C) Find the area of the shaded sector in the circle below using the formula A= π r r for the area of a whole circle. Show your work or explain your reasoning. (2 points) (M-C#2) 6) If a triangle has a height of 6 inches and an area of 30 in 2, what is the length of the base? (M-C#3b) A. 24 inches B. 10 inches C. 6 inches D. 5 inches 7) The area of the rectangle below is 30 cm 2. If you double the dimensions of the rectangle, what will be the area of the new rectangle? (M-F#6) A. 60 cm 2 B. 90 cm 2 C. 15 cm 2 D. 120 cm 2
8) Melina wants to paint vase below as a gift for her mother. What does she need to find in order to know how much paint she ll need to cover the entire cylinder? (M-E#4) A. Surface Area B. Volume C. Area D. Perimeter 9) Which two figures below have the same area? (M-G#5) I II III IV A. Figures I and II B. Figures II and IV C. Figures II and III D. Figures I and IV D) Below is a drawing of an ellipse on centimeter grid paper. Estimate the area of ellipse. Describe the method that you used to estimate the area. Is your estimate more or less than the exact area of the ellipse? Explain your reasoning. (4 points) (M-#3a)
10) Anna wants to use ready-made 5-foot long fence sections for her yard. The yard is a rectangle with dimensions 30 feet by 40 feet. How many fence sections will she need to enclose her entire yard? (M-C#3b) A. 14 sections B. 240 sections C. 28 sections D. 120 sections E) Which has more crust along the outside edge of the pizza, DaLitos s large square pizza with 16 inches on each side or Samuel s large 18-inch diameter round pizza? Show your work or explain your reasoning. (2 points) (M-C#2) 11) Darla is bordering her flower bed with bricks. What measurement does she need to determine how many bricks to buy? (M-E#4) A. Surface Area B. Perimeter C. Volume D. Area
12) How much sand will fit inside the sandbox below? (M-#3b) A. 80 cubic inches B. 1,000 cubic inches C. 10,000 cubic inches D. 3,400 cubic inches F) The following solid is a cube. Estimate the surface area of the cube and explain the strategy you used. (2 points) (M-#3a) 13) If the side length of a square is divided by 2, how will the area change? (M- F#6) A. It will become 2 times smaller. B. It will become one-half its original size. C. It will become 4 times smaller. D. It will become 6 times smaller. 14) The Davis are building a new house. Mr. Davis is in charge of painting all of the walls in the dining room and Mrs. Davis wants to buy a sink for the kitchen room that will fit as much water as possible. Which Davis will need to find surface area and which Davis will need to determine volume? Explain your reasoning. (2 points) (M-F#1)
14) A tire on Tommy s car has a radius of 10 inches. What is the circumference of the tire to the nearest inch? (M-C#2) A. 13 in. B. 63 in. C. 32 in. D. 16 in. H) Riley was using cardboard to make a mat for her photo. The photo was 3 inches by 5 inches. The mat was triangular in shape. How much cardboard (in square inches) will be showing in the mat? She also wants to frame the photo and will need to know the perimeter of the mat to do so. What is the perimeter of the triangular mat? Show your work or explain your reasoning for both. (4 points) (M-#3b) 15) What is the area of the shaded sector of this circle? Round your answer to the nearest tenth. Show your work. (M-C#2)