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# NMTA Middle Grades Math: Circular Arcs & Measurement 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. What is the measure of the minor arc when the major arc is 190 degrees?

#### Question 2 2. Which of the following shows a circle circumscribed by a triangle?

#### Question 3 3. If the measure of central angle AOB is 62 degrees, what is the measure of inscribed angle ACB?

#### Question 4 4. What is the area of a sector if the radius is 5 and the arc length is 2?

#### Question 5 5. Which of the following is the measure of a minor arc?

### Page 2

#### Question 6 6. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

#### Question 7 7. In the picture below, if AE is 10, AB is 14 and ED is 16, what is the length of CE?

#### Question 8 8. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

#### Question 9 9. The sum of an exterior angle and its adjacent interior angle:

#### Question 10 10. What is the area of the shaded area, rounded to the nearest whole number?

### Page 3

#### Question 11 11. What is the measure of the minor arc when the major arc is 300 degrees?

#### Question 12 12. If AB and CB are tangent segments, what is the length of CB?

#### Question 13 13. A tangent to a circle is a line that:

#### Question 14 14. What is the measure of the major arc when the minor arc is 120 degrees?

#### Question 15 15. What is the area of a sector if the radius is 9 and the central angle is 42 degrees?

### Page 4

#### Question 16 16. The line from the center of a circle to the edge is called a(n):

#### Question 17 17. What is the area of a sector if the radius is 14 and the arc length is 5?

#### Question 18 18. In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

#### Question 19 19. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

#### Question 20 20. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

### Page 5

#### Question 21 21. Which of the following is the measure of a major arc?

#### Question 22 22. Which of the following is always a regular polygon?

#### Question 23 23. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

#### Question 24 24. In the picture below, if AE is 8, CE is 12 and ED is 5, what is the length of EB?

#### Question 25 25. Which line is a tangent to the pictured circle?

### Page 6

#### Question 26 26. In the picture below, if AB is 12, AC is 24 and AD is 10, what is the length of AE?

#### Question 27 27. Which of the following shows circles that are tangent to each other?

#### Question 28 28. If arc AC is 122 degrees and arc BC is 192 degrees, what is the measure of angle ACB?

#### Question 29 29. A polygon must include all the following EXCEPT:

#### Question 30 30. In the picture below, if major arc BC is 258 degrees and minor arc BC is 102 degrees, what is the measure of angle BAC?

#### NMTA Middle Grades Math: Circular Arcs & Measurement 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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