# Basic Geometry Calculations Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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#### Question 1 1. Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, what is the area that she will need to cover with flour on the bottom of the pan?

#### Question 2 2. A bicycle wheel has a diameter of 26 inches. What is the circumference?

#### Question 3 3. Circle D has a radius of 17 cm. What is the circumference of circle D?

#### Question 4 4. William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?

#### Question 5 5. Ellen is knitting a triangular shawl, as shown in the picture. She plans to attach a lace ribbon all around the edge of the shawl. How many inches of lace ribbon does she need?

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Question 6
6.
Joe is making pizza. He has enough crust to fill ONE of these three pans:

Pan A: A circular pan with a radius of 6 inches

Pan B: A rectangular pan with dimensions 10 x 12 inches.

Pan C: A rectangular pan with dimensions 9 x 13 inches

Joe hates the crusty bits on the edge of a piece of pizza, and wants the smallest amount of crust-edge possible. Which pan should he use?

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Question 7
7.
Joe is painting his house. When you paint the inside of a room with windows, you have to put tape all around the edges of the windows so the paint doesn't get on the windows, as shown in the picture.

Joe's bedroom has four windows. Each window measures four feet high by two feet across. How many feet of tape does Joe need?

#### Question 8 8. Sue and Tom have a pool with a triangular deck, as shown in the picture. Unfortunately, they also have some very nosy neighbors. Sue and Tom decide to put in a fence around the deck and the pool. How many feet of fencing will they need?

#### Question 9 9. Find the area of the trapezoid if the height is 6 ft.

#### Question 10 10. You are building a raised plant bed and need to know the area of the bed in order to cover it with planters paper to keep the weeds out. What is the area of your plant bed?

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#### Question 11 11. What is the area of an ellipse with a major axis = 9 mm and a minor axis = 4 mm?

#### Question 12 12. Which of the following units are written correctly for area?

#### Question 13 13. What is the volume of a cube with an edge length of 6 cm?

#### Question 14 14. What is the volume of a hemisphere with a radius of 3cm?

#### Question 15 15. What is the area of the diamond/kite shown below?

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#### Question 16 16. What is the area of the right triangle shown below?

#### Question 17 17. In 2005, Josh paid 25 cents per cubic foot of water. In 2015, a drought has made water more expensive, and now he pays 30 cents per cubic foot. Josh owns a swimming pool that measures 10 feet wide by 20 feet long by 8 feet deep. How much MORE does Josh pay for water in 2015 than in 2005?

#### Question 18 18. Jenna is putting gravel on her driveway. She wants a layer of gravel 1 inch thick over a driveway that measures 10 feet by 120 feet. Jenna's pickup truck has a bed that can hold 5 feet by 10 feet by 1 foot of gravel. How many trips will Jenna have to make to bring back all the gravel she needs?

#### Question 19 19. The baggage compartment of a bus is 30 feet long by 5 feet high by 10 feet wide. If the bus holds 40 passengers, and each passenger gets an exactly equal amount of space in the baggage compartment, how much space does each person get?

#### Question 20 20. Marcus is stacking boxes in his trunk. He fits in three boxes that measure 3 feet by 2 feet by 1.5 feet, and two boxes that measure 1 feet by 5 feet by 6 inches. If these boxes completely fill his trunk with no space left over, what is the volume of his trunk in cubic feet?

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#### Question 21 21. Albert is building a rectangular fence around his horse pasture. He has 160 feet of fencing materials and wants the lot to have a length of 50 ft. Using only the fencing materials that he has, how wide will his pasture be?

#### Question 22 22. What is the perimeter?

#### Question 23 23. Find the perimeter.

#### Question 24 24. Find the perimeter.

#### Question 25 25. After the warrior princess rescued his son from the dragon, the king gave her as much land as she could ride a horse around in one day. The warrior-princess knows she can ride 50 miles in a day. Which of the following paths should she ride to get the greatest area of land?

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#### Question 26 26. Cole is baking cookies. He has three pans, two small and one large. He can fit both small pans into the oven at once, but if the large pan goes in, it has to go in all by itself. The small pans are each 1 foot by 8 inches, and the large pan is 1.5 feet by 10 inches. Which arrangement will give him the maximum cookie-baking area, two small or one large?

#### Question 27 27. Will's Weed Wipeout Services charges $1.50 per square foot of garden. Diane has two garden plots. One is 6 feet long and 5 feet wide; the other is a 2 foot by 2 foot square. How much will it cost Diane to hire Will to wipe out her weeds?

#### Question 28 28. Daniela is retiling her kitchen floor. The kitchen is 15 feet long by 20 feet wide, but it has an island that takes up 2 feet by 3 feet of space, and the island obviously won't need to be tiled over. How many feet in total does Daniela need to tile?

#### Question 29 29. Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

#### Question 30 30. Consider three pieces of paper. All three of the pieces have a total area of 64 square inches. Could the three pieces of paper possibly have different perimeters?

#### Basic Geometry Calculations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!