Math 6 Units 9 and 10 Practice Test: Measurement and Geometry

Transcription

1 Math 6 Units 9 and 10 Practice Test: Measurement and Geometry Name: Date: 1. Define: a. perimeter b. area c. circumference 2. Define pi and give the symbol. 3. Define and show a sketch of the following: a. polygon b. trapezoid For problems 4 6, use the picture to the right. 4. Name the circle. 5. Name two radii. A D B 6. Name a diameter. C 7. The perimeter of a regular pentagon is 35 inches. What is the length of one side of the pentagon? Show your work. 8. (CRT) For the triangle shown, write an expression that can be used to determine the area of the triangle in square feet? 15 ft 12 ft 15 ft 18 ft Math 6 Practice Test Units 9 and 10: Measurement and Geometry Page 1 of 5 Revised 2013 CCSS

2 (CRT) For problems 9 12, find the perimeter and area of each figure. Make sure to include the units in your answer ft m 9m 8ft 10 m yd 4 yd 1 8 yd 2 7 in 12 in 8 in 6 in 13. Find the circumference and the area of the circle. Use 3.14 for π. Make sure to include the correct unit for e 10 cm C = A = 14. Find the area of a circle with a diameter of 14 meters. Use 22 for π. 7 A. 44 square meters B. 154 square meters C. 308 square meters D. 616 square meters For problems 15 and 16 find the perimeter of each figure. Show your work m 16. 7cm 4m 8cm 12m 5m 6cm 6cm 5cm Math 6 Practice Test Units 9 and 10: Measurement and Geometry Page 2 of 5 Revised 2013 CCSS

3 17. The length of a rectangle is 21 ft. What is the perimeter of the rectangle if the width is one third the length? Show your work. A. 10 ft B. 28 ft C. 42 ft D. 56 ft 18. Find the area of the polygon. Make sure to include the correct units in your answer. Show your work and explain your thinking. 70 m 30 m 15 m 85 m 19. (NAEP) Marcus drew a rectangle that has an area of 24 square centimeters. Which of the following could NOT be the dimensions of her rectangle? A. 2 centimeters by 12 centimeters B. 3 centimeters by 8 centimeters C. 4 centimeters by 6 centimeters D. 6 centimeters by 8 centimeters Math 6 Practice Test Unit 10: Area Page 3 of 5

4 20. Jose enlarges a 2-inch by 3-inch photo so that it is now 6-inch by 9-inch. How did the area of the photo change? A. The area increased by 3 times. B. The area increased by 4 times. C. The area increased by 9 times. D. The area increased by 10 times. 21. Jose enlarges a 2-inch by 3-inch photo so that it is 6-inch by 9-inch. How did the perimeter of the photo change? A. The perimeter increased by 3 times. B. The perimeter increased by 4 times. C. The perimeter increased by 9 times. D. The perimeter increased by 10 times. 22. A pizza place makes pizzas with 6-inch diameters and 18-inch diameters. A Estimate the areas of the two sizes of pizzas, using 3 for π. B Is the area of the 18-inch pizza about three times the area of the 6-inch pizza? Explain your answer. Math 6 Practice Test Unit 10: Area Page 4 of 5

5 23. At the last minute before the party began John s mother remembers she needs lemon-lime soda for the punch. She scribbles down that John needs to buy 3 gallons of lemon-lime soda and sends him to the store. When he gets to the store soda is sold in 2 L bottles, not gallons. How many 2 L bottles would he need to purchase? Show your diagram and your work. 24. Cassidy wants to travel to Brazil this summer and must complete a Request for Visa form. On the form, it asks for her weight in kilograms. If she weighs 98 pounds, how many kilograms is that? Show your work. Long Term Memory Review 25. Order the given numbers from least to greatest. 22%, 0.208, 1 4, Compute. 10% of 550 is what? Math 6 Practice Test Unit 10: Area Page 5 of 5