ACT Math - Plane Geometry: Help and Review 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!

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Question 1 1. You are standing at the point (2,3) on a graph. Which point is closer: (-1,2) or (4,6)?

Question 2 2. What is the area of the diamond/kite shown below?

Question 3 3. A baseball diamond is square shaped and has 90 feet between each base located at the corners of the square. How far will the catcher at one corner (standing at home plate) throw the ball across the diagonal to the second baseman at the opposite corner?

Question 4 4. Greg is standing next to a 40 ft. tree. The sun casts a 5 ft. shadow of Greg, who is 6.4 ft. tall. How long is the tree's shadow?

Question 5 5. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

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Question 6 6. What is the relationship between Angle 4 and Angle 1?

Question 7 7. What is the surface area of a sphere whose radius is 1 inch?

Question 8 8. What is the relationship between Angle 2 and Angle 7?

Question 9 9. What is the volume of a square pyramid that has a base area of 100 feet squared, a base perimeter of 40 feet, a height of 50 feet, and a slant height of 60 feet?

Question 10 10. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

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Question 11 11. The diagonals of a _____ and _____ will form right angles.

Question 12 12. What is the surface area of a sphere whose radius is 2 inches?

Question 13 13. What shape is the base of a hexagonal prism?

Question 14 14. What is the surface area of a rectangular prism whose base measures 4 inches by 5 inches with a height of 10 inches?

Question 15 15. Which of the following is in the shape of a cylinder?

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Question 16 16. What is the volume of a triangular prism whose area of the base is 20 inches squared with a height of 3 inches?

Question 17 17. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

Question 18 18. What does the B stand for in the formulas for surface area and volume of a prism?

Question 19 19. If a cookie sheet holds 6 cookies along one side and 4 cookies along the other, how many cookies can it hold in total?

Question 20 20. The pictured shape is a:

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Question 21 21. How many dimensions does a plane have?

Question 22 22. What is the surface area of a square pyramid that has a base area of 100 feet squared, a base perimeter of 40 feet, a height of 50 feet, and a slant height of 60 feet?

Question 23 23. What is the only measurement you need to find surface area and volume of spheres?

Question 24 24. Susan leaves her house and walks 12 miles north. Then she turns and walks x miles west. When she's done walking, the distance between her and her house in a straight line is 15 miles. How many miles did she walk west?

Question 25 25. The isosceles triangle pictured below shows one angle measuring 40 degrees. What is the measure of angle x?

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Question 26 26. What is the surface area of a cylinder with a height of 10 inches and a radius of 3 inches? (Use π in your calculations, do not round to 3.14)

Question 27 27. What is the surface area of just the BASE of a cone with a radius of 10 cm and a side length of 15 cm?

Question 28 28. In the picture shown below, there are three lines marking each side of the triangle. These lines give the indication that the triangle is:

Question 29 29. Which two lines are parallel?

Question 30 30. 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?

ACT Math - Plane Geometry: Help and Review 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!

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