Which statement best describes the shaded turn?
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1 Name: Class: Date: ID: A Chapter 11 Practice Test 1. Use the diagram to answer the question. Which statement best describes the shaded turn? A. B. C. D. 1 turn clockwise 4 1 turn counterclockwise 4 3 turn clockwise 4 3 turn counterclockwise 4 1
2 Name: ID: A 2. Use the diagram to answer the question. What clockwise turn represents the white part of the circle? A. 1 full turn B. 3 4 turn C. 1 2 turn D. 1 4 turn 3. Which shaded angle shows 1 8 of the circle? A. B. C. D. 2
3 Name: ID: A 4. Which shaded angle shows 1 3 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. acute B. obtuse C. right D. straight 3
4 Name: ID: A 7. How many degrees are in an angle that turns through 3 4 of a circle? A. 90 B. 180 C. 270 D What name is given to an angle that measures 180? A. acute angle B. obtuse angle C. right angle D. straight angle 9. In degrees, what is the angle measure of the shaded part? A. 250 B. 110 C. 36 D An angle measuring 75 turns through a circle. Write the fraction for how much of the circle the angle turns through. Explain your answer. 4
5 Name: ID: A 11. Use a protractor. What is the measure of JKL? A. 50 B. 60 C. 110 D 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 5
6 Name: ID: A 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 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 6
7 Name: ID: A 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 Which equation shows the sum of the measures of two right angles? A = 90 B = 100 C = 180 D = 360 7
8 Name: ID: A 18. What is the measure of the unknown angle in the figure? A. 47 B. 57 C. 90 D What is the measure of the unknown angle in the figure? A. 125 B. 105 C. 55 D 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. 8
9 ID: A Chapter 11 Practice Test Answer Section 1. ANS: B PTS: 1 DIF: average REF: Lesson 93: Investigate Angles and Fractional Parts of a Circle OBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed 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. measure angles. KEY: clockwise counterclockwise angle ray 2. ANS: B PTS: 1 DIF: average REF: Lesson 93: Investigate Angles and Fractional Parts of a Circle OBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed 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. measure angles. KEY: clockwise counterclockwise angle ray 1
10 ID: A 3. ANS: A PTS: 1 DIF: average REF: Lesson 93: Investigate Angles and Fractional Parts of a Circle OBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed 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. measure angles. KEY: clockwise counterclockwise angle ray 4. ANS: B PTS: 1 DIF: average REF: Lesson 93: Investigate Angles and Fractional Parts of a Circle OBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed 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. measure angles. KEY: clockwise counterclockwise angle ray 2
11 ID: A 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 3 4 around the circle to the 9. of the way PTS: 1 DIF: average REF: Lesson 93: Investigate Angles and Fractional Parts of a Circle OBJ: Relate angles and fractional parts of a circle. NAT: CC.4.MD.5a Recognize angles as geometric shapes that are formed 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. measure angles. KEY: clockwise counterclockwise angle ray 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 angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. measure angles. KEY: degree ( ) acute angle right angle obtuse angle straight angle 3
12 ID: A 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 angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. measure angles. KEY: degree ( ) acute angle right angle obtuse angle straight angle 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 angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. measure angles. KEY: degree ( ) acute angle right angle obtuse angle straight angle 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 angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. measure angles. KEY: degree ( ) acute angle right angle obtuse angle straight angle 4
13 ID: A 10. ANS: One full turn through a circle is 360. An angle that measures 75 turns through 75 of 360. So, it turns 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 angle measurement. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. measure angles. KEY: degree ( ) acute angle right angle obtuse angle straight angle 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. measure angles. KEY: degree ( ) protractor 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. measure angles. KEY: degree ( ) protractor 5
14 ID: A 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. measure angles. KEY: degree ( ) protractor 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. measure angles. KEY: degree ( ) protractor 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. measure angles. KEY: degree ( ) protractor 6
15 ID: A 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. measure angles. 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. measure angles. 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. measure angles. 7
16 ID: A 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. measure angles. 20. ANS: = 360 ; Possible explanation: each person ate 4 slices, which is 4 x 30 = 120 of the whole pizza. There are 3 people, so = 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. measure angles. 8
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