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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 558 · 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 100 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 139 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  4. 4.A clock shows 12:37. What time will it show 90 minutes later? (a) 3:07 (b) 1:57 (c) 2:07 (d) 2:17
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  6. 6.A clock shows 6:32. What time will it show 66 minutes later? (a) 7:48 (b) 7:28 (c) 7:38 (d) 8:38
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 22 minutes? =
  10. 10.A clock shows 6:58. What time will it show 140 minutes later? (a) 9:28 (b) 9:08 (c) 9:18 (d) 10:18
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  12. 12.A clock shows 3:27. What time will it show 147 minutes later? (a) 6:04 (b) 5:54 (c) 6:54 (d) 5:44
  13. 13.A clock shows 8:06. What time will it show 60 minutes later? (a) 9:16 (b) 10:06 (c) 9:06 (d) 8:56
  14. 14.How many degrees does the hour hand of a clock turn in 82 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 128 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 55 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 47 minutes? =
  19. 19.A clock shows 2:55. What time will it show 91 minutes later? (a) 4:26 (b) 4:16 (c) 4:36 (d) 5:26
  20. 20.A clock shows 5:41. What time will it show 140 minutes later? (a) 9:01 (b) 8:01 (c) 8:11 (d) 7:51
  21. 21.A clock shows 11:19. What time will it show 132 minutes later? (a) 1:21 (b) 2:31 (c) 1:31 (d) 1:41
  22. 22.A clock shows 3:35. What time will it show 157 minutes later? (a) 6:02 (b) 7:12 (c) 6:12 (d) 6:22
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 17 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 10 minutes? =
  28. 28.A clock shows 10:42. What time will it show 103 minutes later? (a) 1:25 (b) 12:35 (c) 12:25 (d) 12:15
  29. 29.A clock shows 9:38. What time will it show 112 minutes later? (a) 11:30 (b) 11:40 (c) 11:20 (d) 12:30
  30. 30.A clock shows 9:46. What time will it show 142 minutes later? (a) 11:58 (b) 12:08 (c) 12:18 (d) 1:08
  31. 31.A clock shows 8:57. What time will it show 52 minutes later? (a) 10:49 (b) 9:59 (c) 9:49 (d) 9:39
  32. 32.A clock shows 3:54. What time will it show 95 minutes later? (a) 5:39 (b) 6:29 (c) 5:19 (d) 5:29
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 52 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 26 minutes? =
  37. 37.A clock shows 2:48. What time will it show 136 minutes later? (a) 4:54 (b) 6:04 (c) 5:04 (d) 5:14
  38. 38.How many degrees does the hour hand of a clock turn in 81 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 124 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =

Answer key

  1. 50
  2. 69.5
  3. 109
  4. 2:07
  5. 66
  6. 7:38
  7. 141
  8. 173.5
  9. 11
  10. 9:18
  11. 123.5
  12. 5:54
  13. 9:06
  14. 41
  15. 64
  16. 114.5
  17. 330
  18. 282
  19. 4:26
  20. 8:01
  21. 1:31
  22. 6:12
  23. 89.5
  24. 165.5
  25. 102
  26. 13
  27. 60
  28. 12:25
  29. 11:30
  30. 12:08
  31. 9:49
  32. 5:29
  33. 64
  34. 17
  35. 312
  36. 156
  37. 5:04
  38. 40.5
  39. 62
  40. 14.5

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