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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 644 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the hour hand of a clock turn in 75 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  5. 5.A clock shows 3:16. What time will it show 159 minutes later? (a) 5:55 (b) 6:55 (c) 6:05 (d) 5:45
  6. 6.A clock shows 8:31. What time will it show 122 minutes later? (a) 10:33 (b) 10:43 (c) 11:33 (d) 10:23
  7. 7.How many degrees does the hour hand of a clock turn in 69 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 88 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  11. 11.A clock shows 6:55. What time will it show 158 minutes later? (a) 9:43 (b) 9:33 (c) 10:33 (d) 9:23
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 131 minutes? =
  14. 14.A clock shows 8:42. What time will it show 84 minutes later? (a) 11:06 (b) 10:06 (c) 9:56 (d) 10:16
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 30 minutes? =
  19. 19.A clock shows 11:53. What time will it show 18 minutes later? (a) 12:01 (b) 12:11 (c) 1:11 (d) 12:21
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  23. 23.A clock shows 9:47. What time will it show 16 minutes later? (a) 11:03 (b) 10:03 (c) 9:53 (d) 10:13
  24. 24.How many degrees does the hour hand of a clock turn in 123 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  26. 26.A clock shows 4:52. What time will it show 133 minutes later? (a) 6:55 (b) 7:15 (c) 8:05 (d) 7:05
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 54 minutes? =
  30. 30.A clock shows 3:58. What time will it show 55 minutes later? (a) 4:43 (b) 5:03 (c) 5:53 (d) 4:53
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  37. 37.A clock shows 8:34. What time will it show 106 minutes later? (a) 10:10 (b) 10:30 (c) 10:20 (d) 11:20
  38. 38.How many degrees does the minute hand of a clock turn in 32 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 45 minutes? =

Answer key

  1. 37.5
  2. 54
  3. 55
  4. 77
  5. 5:55
  6. 10:33
  7. 34.5
  8. 44
  9. 150.5
  10. 102.5
  11. 9:33
  12. 162
  13. 65.5
  14. 10:06
  15. 128.5
  16. 22
  17. 160.5
  18. 180
  19. 12:11
  20. 124
  21. 109
  22. 154.5
  23. 10:03
  24. 61.5
  25. 175
  26. 7:05
  27. 24.5
  28. 24
  29. 27
  30. 4:53
  31. 65.5
  32. 29.5
  33. 139.5
  34. 110
  35. 109.5
  36. 139.5
  37. 10:20
  38. 192
  39. 96.5
  40. 22.5

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