# Illinois TAP Math: Geometry 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!

### Page 1

#### Question 1 1. The pictured shape is all of the following EXCEPT a:

#### Question 2 2. The pictured shape is a:

#### Question 3 3. What is the perimeter of this shape?

#### Question 4 4. Which of the following is a pair of parallel lines?

#### Question 5 5. What is the relationship between Angle 1 and Angle 7?

### Page 2

#### Question 6 6. Joan is building a fence for her triangular garden. One side of the garden is 8 feet long, the second side is 10 feet long, and the third side is 12 feet long. If fencing costs $10 per foot, how much will Joan spend on fencing for her garden?

#### Question 7 7. Given the triangle PQE, calculate the measure of Angle Q.

#### Question 8 8. Given the figure below, Angle 3 = 140y and Angle 5 = 80y + 70. Determine the value of y.

#### Question 9 9. In the figure below, Angle 7 = 15x and Angle 10 = 9x + 30. Determine the measure of Angle 10.

#### Question 10 10. What is the perimeter of this polygon?

### Page 3

#### Question 11 11. A sphere has a diameter of 17 inches. What is its approximate volume?

#### Question 12 12. If a cone has radius of 4 inches and a volume of 151 cubic inches, what is its approximate height?

#### Question 13 13. What is the relationship between Angle 2 and Angle 7?

#### Question 14 14. What is the area of this shape?

#### Question 15 15. Which line is the transversal?

### Page 4

#### Question 16 16. What is the volume of a cube with an edge length of 6 cm?

#### Question 17 17. Which two lines are parallel?

#### Question 18 18. In triangle GBN, Angle G is seven more than three times a number, Angle B is five more than four times the number, and Angle N is twelve less than five times the number. Solve for the measure of Angle G.

#### Question 19 19. What is the area of the pictured triangle?

#### Question 20 20. 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?

### Page 5

#### Question 21 21. What is the area of this shape?

#### Question 22 22. A bicycle wheel has a diameter of 26 inches. What is the circumference?

#### Question 23 23. What is the area of ABCDE, as shown in the diagram?

#### Question 24 24. If the two triangles pictured below are similar, then what is x?

#### Question 25 25. Circle D has a radius of 17 cm. What is the circumference of circle D?

### Page 6

#### Question 26 26. Which of the following consists of a pair of perpendicular lines?

#### Question 27 27. What is the area of this shape?

#### Question 28 28. 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 29 29. The volume of this square pyramid is 6250 cubic feet. If each side of the base is 25 feet long, what is its height?

#### Question 30 30. What is the relationship between Angle 4 and Angle 1?

#### Illinois TAP Math: Geometry 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!