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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 638 · 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.A clock shows 11:31. What time will it show 119 minutes later? (a) 1:20 (b) 1:30 (c) 1:40 (d) 2:30
  2. 2.How many degrees does the hour hand of a clock turn in 16 minutes? =
  3. 3.A clock shows 8:52. What time will it show 130 minutes later? (a) 11:02 (b) 10:52 (c) 11:12 (d) 12:02
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 49 minutes? =
  9. 9.A clock shows 2:02. What time will it show 148 minutes later? (a) 4:40 (b) 5:30 (c) 4:30 (d) 4:20
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  11. 11.A clock shows 11:38. What time will it show 14 minutes later? (a) 11:52 (b) 12:52 (c) 12:02 (d) 11:42
  12. 12.How many degrees does the hour hand of a clock turn in 166 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 3 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 99 minutes? =
  17. 17.A clock shows 11:02. What time will it show 27 minutes later? (a) 11:39 (b) 12:29 (c) 11:19 (d) 11:29
  18. 18.A clock shows 7:20. What time will it show 42 minutes later? (a) 9:02 (b) 7:52 (c) 8:02 (d) 8:12
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  20. 20.A clock shows 2:02. What time will it show 149 minutes later? (a) 4:21 (b) 4:31 (c) 5:31 (d) 4:41
  21. 21.How many degrees does the hour hand of a clock turn in 87 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  23. 23.A clock shows 12:56. What time will it show 69 minutes later? (a) 2:15 (b) 3:05 (c) 1:55 (d) 2:05
  24. 24.A clock shows 3:00. What time will it show 156 minutes later? (a) 5:46 (b) 6:36 (c) 5:36 (d) 5:26
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  26. 26.A clock shows 6:55. What time will it show 129 minutes later? (a) 9:14 (b) 8:54 (c) 10:04 (d) 9:04
  27. 27.A clock shows 6:46. What time will it show 79 minutes later? (a) 7:55 (b) 8:05 (c) 9:05 (d) 8:15
  28. 28.A clock shows 12:46. What time will it show 165 minutes later? (a) 3:41 (b) 3:31 (c) 3:21 (d) 4:31
  29. 29.How many degrees does the hour hand of a clock turn in 112 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 60 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 6 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  34. 34.A clock shows 5:47. What time will it show 41 minutes later? (a) 6:28 (b) 6:18 (c) 7:28 (d) 6:38
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 107 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 140 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  40. 40.A clock shows 10:19. What time will it show 159 minutes later? (a) 1:58 (b) 12:48 (c) 12:58 (d) 1:08

Answer key

  1. 1:30
  2. 8
  3. 11:02
  4. 62.5
  5. 104
  6. 15.5
  7. 142
  8. 24.5
  9. 4:30
  10. 127.5
  11. 11:52
  12. 83
  13. 18
  14. 86
  15. 24.5
  16. 49.5
  17. 11:29
  18. 8:02
  19. 111.5
  20. 4:31
  21. 43.5
  22. 90.5
  23. 2:05
  24. 5:36
  25. 97.5
  26. 9:04
  27. 8:05
  28. 3:31
  29. 56
  30. 6
  31. 30
  32. 36
  33. 110.5
  34. 6:28
  35. 90.5
  36. 53.5
  37. 70
  38. 155.5
  39. 19.5
  40. 12:58

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