Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Chapter 11 Practice Test

____ 1. Use the diagram to answer the question.

Which statement best describes the shaded turn?

A. 14

turn clockwise

B. 14

turn counterclockwise

C. 34

turn clockwise

D. 34

turn counterclockwise

Name: ________________________ ID: A

2

____ 2. Use the diagram to answer the question.

What clockwise turn represents the white part of the circle?

A. 1 full turnB. 3

4 turn

C. 12

turn

D. 14

turn

____ 3. Which shaded angle shows 18

of the circle?

A.

B.

C.

D.

Name: ________________________ ID: A

3

____ 4. Which shaded angle shows 13

of the circle?

A.

B.

C.

D.

5. Jack babysat from 4:00 P.M. until 4:45 P.M. Describe the turn the minute hand made, and explain how you know.

____ 6. What term best describes the angle formed by the hands of the clock?

A. acuteB. obtuseC. rightD. straight

Name: ________________________ ID: A

4

____ 7. How many degrees are in an angle that turns through 34

of a circle?

A. 90°B. 180°C. 270°D. 360°

____ 8. What name is given to an angle that measures 180°?

A. acute angleB. obtuse angleC. right angleD. straight angle

____ 9. In degrees, what is the angle measure of the shaded part?

A. 250°B. 110°C. 36°D. 11°

10. An angle measuring 75° turns through a circle. Write the fraction for how much of the circle the angle turns through. Explain your answer.

Name: ________________________ ID: A

5

____ 11. Use a protractor. What is the measure of ∠JKL?

A. 50°B. 60°C. 110°D. 120°

____ 12. Use a protractor. What is the measure of the angle formed by the hands of the clock?

A. 115°B. 62°C. 50°D. 25°

Name: ________________________ ID: A

6

____ 13. Use the diagram to answer the question.

Use a protractor. What is the measure of the largest angle in the triangle?

A. 175°B. 130°C. 110°D. 95°

____ 14. Use the diagram to answer the question.

Use a protractor. What is the measure of the smallest angle in the triangle?

A. 40°B. 30°C. 20°D. 10°

Name: ________________________ ID: A

7

15. Use a protractor. What is the measure of the smallest angle in the pennant? Explain how you found the answer.

____ 16. What is the measure of the unknown angle in the figure?

A. 15°B. 105°C. 115° D. 165°

____ 17. Which equation shows the sum of the measures of two right angles?

A. 45° + 45° = 90°B. 50° + 50° = 100°C. 90° + 90° = 180°D. 180° + 180° = 360°

Name: ________________________ ID: A

8

____ 18. What is the measure of the unknown angle in the figure?

A. 47°B. 57°C. 90°D. 123°

____ 19. What is the measure of the unknown angle in the figure?

A. 125°B. 105°C. 55°D. 45°

20. A round pizza is cut into 12 slices. The angle at the narrow part of each slice measures 30°. Bruno, Gray, and Jan eat 4 slices each. Write an equation for the sum of the angle measures of the narrow parts of the slices of pizza they ate. Explain your work.

ID: A

1

Chapter 11 Practice TestAnswer Section

1. ANS: B PTS: 1 DIF: average REF: Lesson 93: Investigate • Angles and Fractional Parts of a CircleOBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: clockwise | counterclockwise | angle | ray

2. ANS: B PTS: 1 DIF: average REF: Lesson 93: Investigate • Angles and Fractional Parts of a CircleOBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: clockwise | counterclockwise | angle | rayNOT: Measurement and Data

ID: A

2

3. ANS: A PTS: 1 DIF: average REF: Lesson 93: Investigate • Angles and Fractional Parts of a CircleOBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: clockwise | counterclockwise | angle | rayNOT: Measurement and Data

4. ANS: B PTS: 1 DIF: average REF: Lesson 93: Investigate • Angles and Fractional Parts of a CircleOBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: clockwise | counterclockwise | angle | rayNOT: Measurement and Data

ID: A

3

5. ANS: Possible answer: the minute hand made a 3

4 turn clockwise. I know

because the hand started at 12 on the circle and moved 34

of the way

around the circle to the 9.

PTS: 1 DIF: average REF: Lesson 93: Investigate • Angles and Fractional Parts of a CircleOBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: clockwise | counterclockwise | angle | rayNOT: Measurement and Data

6. ANS: B PTS: 1 DIF: average REF: Lesson 94: Degrees OBJ: Relate degrees to fractional parts of a circle by understanding that an angle that measures 1° turns through n/360 of a circle. NAT: CC.4.MD.5b Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | acute angle | right angle | obtuse angle | straight angleNOT: Measurement and Data

ID: A

4

7. ANS: C PTS: 1 DIF: average REF: Lesson 94: Degrees OBJ: Relate degrees to fractional parts of a circle by understanding that an angle that measures 1° turns through n/360 of a circle. NAT: CC.4.MD.5b Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | acute angle | right angle | obtuse angle | straight angleNOT: Measurement and Data

8. ANS: D PTS: 1 DIF: average REF: Lesson 94: Degrees OBJ: Relate degrees to fractional parts of a circle by understanding that an angle that measures 1° turns through n/360 of a circle. NAT: CC.4.MD.5b Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | acute angle | right angle | obtuse angle | straight angleNOT: Measurement and Data

9. ANS: B PTS: 1 DIF: average REF: Lesson 94: Degrees OBJ: Relate degrees to fractional parts of a circle by understanding that an angle that measures 1° turns through n/360 of a circle. NAT: CC.4.MD.5b Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | acute angle | right angle | obtuse angle | straight angleNOT: Measurement and Data

ID: A

5

10. ANS: One full turn through a circle is 360°. An angle that measures 75° turns through 75° of 360°. So, it turns 75

360.

PTS: 1 DIF: average REF: Lesson 94: DegreesOBJ: Relate degrees to fractional parts of a circle by understanding that an angle that measures 1° turns through n/360 of a circle. NAT: CC.4.MD.5b Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | acute angle | right angle | obtuse angle | straight angleNOT: Measurement and Data

11. ANS: D PTS: 1 DIF: average REF: Lesson 95: Measure and Draw Angles OBJ: Use a protractor to measure an angle and to draw an angle with a given measure. NAT: CC.4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | protractor NOT: Measurement and Data

12. ANS: B PTS: 1 DIF: average REF: Lesson 95: Measure and Draw Angles OBJ: Use a protractor to measure an angle and to draw an angle with a given measure. NAT: CC.4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | protractor NOT: Measurement and Data

ID: A

6

13. ANS: B PTS: 1 DIF: average REF: Lesson 95: Measure and Draw Angles OBJ: Use a protractor to measure an angle and to draw an angle with a given measure. NAT: CC.4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | protractor NOT: Measurement and Data

14. ANS: C PTS: 1 DIF: average REF: Lesson 95: Measure and Draw Angles OBJ: Use a protractor to measure an angle and to draw an angle with a given measure. NAT: CC.4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | protractor NOT: Measurement and Data

15. ANS: I put the center point of the protractor on the vertex of the smallest angle in the pennant. I lined up the 0° mark of the protractor with one ray of that angle. Then I read where the other ray of the angle met the protractor scale. That angle measures 25°.

PTS: 1 DIF: average REF: Lesson 95: Measure and Draw Angles OBJ: Use a protractor to measure an angle and to draw an angle with a given measure. NAT: CC.4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. TOP: Geometric measurement: understand concepts of angle and measure angles. KEY: degree (°) | protractor NOT: Measurement and Data

ID: A

7

16. ANS: B PTS: 1 DIF: average REF: Lesson 96: Investigate • Join and Separate Angles OBJ: Determine the measure of an angle separated into parts.NAT: CC.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. TOP: Geometric measurement: understand concepts of angle and measure angles. NOT: Measurement and Data

17. ANS: C PTS: 1 DIF: average REF: Lesson 96: Investigate • Join and Separate Angles OBJ: Determine the measure of an angle separated into parts.NAT: CC.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. TOP: Geometric measurement: understand concepts of angle and measure angles. NOT: Measurement and Data

18. ANS: B PTS: 1 DIF: average REF: Lesson 96: Investigate • Join and Separate Angles OBJ: Determine the measure of an angle separated into parts.NAT: CC.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. TOP: Geometric measurement: understand concepts of angle and measure angles. NOT: Measurement and Data

ID: A

8

19. ANS: C PTS: 1 DIF: average REF: Lesson 96: Investigate • Join and Separate Angles OBJ: Determine the measure of an angle separated into parts.NAT: CC.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. TOP: Geometric measurement: understand concepts of angle and measure angles. NOT: Measurement and Data

20. ANS: 120° + 120° + 120° = 360°; Possible explanation: each person ate 4 slices, which is 4 x 30° = 120° of the whole pizza. There are 3 people, so 120° +120° + 120° = 360°.

PTS: 1 DIF: average REF: Lesson 96: Investigate • Join and Separate Angles OBJ: Determine the measure of an angle separated into parts.NAT: CC.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. TOP: Geometric measurement: understand concepts of angle and measure angles. NOT: Measurement and Data