7 th Grade SAV Block 1 Practice Test Oregon Focus on Surface Area and Volume Block 1 Practice Test ~ Two-Dimensional Geometry.
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1 Oregon Focus on Surface Area and Volume Block 1 Practice Test ~ Two-Dimensional Geometry Name Period Date Long/Short Term Learning Targets MA.MS.07.ALT.04: I can solve problems and explain formulas involving areas and circumferences of circles. MA.MS.07.AST.04.1: I can explain and use the formulas for the circumference and area of circles. MA.MS.07.AST.04.2: I can use different forms of pi. MA.MS.07.AST.04.3: I can explain the relationship between the circumference and area of a circle, using pi. MA.MS.07.AST.04.4: I can find the area of circle, including being given the circumference. UPart I Multiple Choice 1. What is the value of x? A. 18 B. 20 C. 63 D The diameter of a circle is: A. the distance from the center to the outside. B. the distance around the outside of a circle. C. the distance across a circle through the center. D. 360 degrees. 3. In a A, which of the following could be central angles: A. BAC & AFE B. BFE & DEF C. CFD & AFE D. BAC, CAD & BAD x The diameter of a wheel for a car is 18 inches. What distance does the car travel when the tire makes one complete turn? Use 3.14 A in C in B in D in 5. What is the area of a circle with a radius of 21 feet? Use 7 A square feet C square feet B square feet D square feet 6. The circumference of a circular ice skating rink is m. What is the approximate radius of the skating rink? Use 3.14 A. 65 m C m B. 130 m D. 0 m 7. What is the area of a circle with a diameter of 28 feet? Use 7 A. 88 square feet C. 616 square feet B. 154 square feet D square feet
2 U 8. An exact answer is wanted for a solution that involves the number pi. What expression below will give an exact answer using pi? A. (7)(3.14) B. (7)( 7 ) C. (7)(the π button on a calculator) D. (7)(π) 10. A custodian needs to estimate how much wax is needed to wax a large circular entry way. Which would be the best estimate for pi to use? A. 3 C. 7 B D. Calculator π 9. What is the area of circle shown below? Use 3.14 A ft 2 B ft 2 C ft 2 D ft 2 3 ft Part II Free Response Find the circumference of each circle. Use cm 5 ft Find the missing measure in each circle. Use C = m 4. C = yards d r
3 Find the area of each circle. Use cm 8 ft Find the exact area of each circle mm 15 m 9. Find the circumference of a circle with a 6 centimeter radius. Use Bill is cutting circular holes for ice fishing. Each hole has a radius of 14 in. Find the exact area of each hole.
4 11. Emma made a large circular quilt. She wants to make a backing for it. The quilt has a 14-foot diameter. a. Emma needs to know how much material to buy. Find the area of the quilt. Use 7 b. What is the circumference of the quilt? Use Use the circle to the right to draw the following: a. center B b. radius BC c. diameter XP d. chord PQ 13. Use the circle to the right to identify the following: a. the center Y b. a radius c. a diameter d. a chord H S R T C
5 Part III Problem Solving Ellen is designing a circular garden area in her backyard. Ellen needs help with two parts of her design. The design calls for a row of bricks around the outside of the garden and she needs to add a lot of topsoil so the plants can grow. Ellen has decided to hire a landscaper to install the bricks and topsoil, but the landscaper needs two measurements from Ellen in order to estimate the price. The landscaper wants to know the distance around the outside of the garden (to determine how many bricks) and the area of the garden (to determine how much topsoil). The only measurement that Ellen can make easily is the radius, which is 15 feet. Find the other two measurements. Show your work here: Explain your work here: Developing (1) Nearly Proficient (2) Proficient (3) Highly Proficient (4) Understanding Clearly doesn t understand the problem. Work Shown Explanation Answer There was no work shown. There was little to no explanation of the procedures. The answer was incorrect with incorrect procedures. Has some misunderstanding of the problem. There was some work shown. There was a partial explanation of the procedure. The answer was incorrect, but the procedures were correct/partly correct. Understands the problem, but not completely. Can follow the work shown, but it s incomplete. There was an explanation for the procedure. Has the correct answer and procedures, with slight errors. It is clear that the problem is understood. All steps were shown. There was a complete explanation for the procedure. The answer and procedures were correct with no errors.
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