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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 979 · 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.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  3. 3.A clock shows 6:46. What time will it show 108 minutes later? (a) 9:34 (b) 8:44 (c) 8:24 (d) 8:34
  4. 4.How many degrees does the hour hand of a clock turn in 59 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 97 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 16 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 18 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  11. 11.A clock shows 3:03. What time will it show 121 minutes later? (a) 6:04 (b) 5:14 (c) 5:04 (d) 4:54
  12. 12.How many degrees does the hour hand of a clock turn in 28 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  19. 19.A clock shows 7:48. What time will it show 133 minutes later? (a) 10:11 (b) 10:01 (c) 11:01 (d) 9:51
  20. 20.How many degrees does the hour hand of a clock turn in 146 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  22. 22.A clock shows 4:59. What time will it show 100 minutes later? (a) 6:39 (b) 7:39 (c) 6:29 (d) 6:49
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  24. 24.A clock shows 2:42. What time will it show 29 minutes later? (a) 4:11 (b) 3:01 (c) 3:11 (d) 3:21
  25. 25.A clock shows 4:15. What time will it show 33 minutes later? (a) 4:38 (b) 5:48 (c) 4:48 (d) 4:58
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  28. 28.A clock shows 2:43. What time will it show 71 minutes later? (a) 4:54 (b) 3:44 (c) 4:04 (d) 3:54
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 31 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 8 minutes? =
  33. 33.A clock shows 2:52. What time will it show 136 minutes later? (a) 5:08 (b) 6:08 (c) 5:18 (d) 4:58
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  35. 35.A clock shows 6:04. What time will it show 126 minutes later? (a) 8:00 (b) 9:10 (c) 8:10 (d) 8:20
  36. 36.A clock shows 4:23. What time will it show 55 minutes later? (a) 5:08 (b) 6:18 (c) 5:28 (d) 5:18
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 179 minutes? =
  39. 39.A clock shows 9:21. What time will it show 27 minutes later? (a) 9:38 (b) 9:58 (c) 10:48 (d) 9:48
  40. 40.A clock shows 5:06. What time will it show 26 minutes later? (a) 6:32 (b) 5:22 (c) 5:32 (d) 5:42

Answer key

  1. 82.5
  2. 98
  3. 8:34
  4. 29.5
  5. 48.5
  6. 65.5
  7. 96
  8. 108
  9. 140
  10. 174.5
  11. 5:04
  12. 14
  13. 81
  14. 111.5
  15. 151
  16. 240
  17. 176.5
  18. 93
  19. 10:01
  20. 73
  21. 109.5
  22. 6:39
  23. 87
  24. 3:11
  25. 4:48
  26. 100
  27. 140.5
  28. 3:54
  29. 11.5
  30. 141.5
  31. 186
  32. 48
  33. 5:08
  34. 160.5
  35. 8:10
  36. 5:18
  37. 40.5
  38. 89.5
  39. 9:48
  40. 5:32

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