Basic Geometry Calculations Chapter Exam

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!

Page 1

Question 1 1. 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 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. Find the area of the red area if the length of the rectangle is 13 cm, the width of the rectangle is 10 cm, and the radius of the circle is 5 cm.

Page 2

Question 6 6. 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?

Question 7 7. Which of the following units are written correctly for area?

Question 8 8. What is the area of an ellipse with a major axis = 9 mm and a minor axis = 4 mm?

Question 9 9.

Andrew is painting his house. Each gallon of paint covers roughly 350 square feet. Andrew wants to paint two rooms, both of them 10 feet high:

  • The master bedroom, which is 20 feet by 16 feet
  • The guest bedroom, which is 19 feet by 17 feet

How many gallons of paint will Andrew need? Round to one decimal place.

(Hint: it may help you to draw a diagram)

Question 10 10. 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?

Page 3

Question 11 11. 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 12 12. After the warrior princess rescued the king's 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?

Question 13 13. What is the area of the diamond/kite shown below?

Question 14 14. What is the area of the annulus/doughnut shown below?

Question 15 15. What is the area of the right triangle shown below?

Page 4

Question 16 16. What is the volume of a hemisphere with a radius of 3cm?

Question 17 17. 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 18 18.

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?

Question 19 19. 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?

Question 20 20. 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?

Page 5

Question 21 21. Find the perimeter.

Question 22 22. What is the perimeter?

Question 23 23. What is the perimeter?

Question 24 24. Find the perimeter.

Question 25 25. Assuming that oranges are stacked in perfectly-ordered rows, and that each orange is a perfect sphere with a radius of 2 inches, how many oranges will fit into a crate that measures 12 inches by 20 inches by 8 inches?

Page 6

Question 26 26. 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?

Question 27 27. 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 28 28. 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 29 29. 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 30 30. Find the area of the trapezoid if the height is 6 ft.

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!

Accuplacer Math: Quantitative Reasoning, Algebra, and Statistics Placement Test Study Guide  /  Math Courses
Support