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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 831 · 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 4:06? (in degrees) =
  2. 2.A clock shows 3:52. What time will it show 116 minutes later? (a) 5:38 (b) 5:58 (c) 6:48 (d) 5:48
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 49 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 6 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 11 minutes? =
  7. 7.A clock shows 5:12. What time will it show 93 minutes later? (a) 6:35 (b) 6:55 (c) 7:45 (d) 6:45
  8. 8.A clock shows 5:45. What time will it show 16 minutes later? (a) 7:01 (b) 6:11 (c) 6:01 (d) 5:51
  9. 9.A clock shows 6:05. What time will it show 163 minutes later? (a) 8:38 (b) 8:58 (c) 8:48 (d) 9:48
  10. 10.A clock shows 9:05. What time will it show 154 minutes later? (a) 12:39 (b) 11:29 (c) 11:49 (d) 11:39
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 51 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 44 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 16 minutes? =
  15. 15.A clock shows 12:40. What time will it show 107 minutes later? (a) 2:27 (b) 3:27 (c) 2:17 (d) 2:37
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 108 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 12 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 25 minutes? =
  21. 21.A clock shows 3:20. What time will it show 142 minutes later? (a) 5:42 (b) 5:52 (c) 6:42 (d) 5:32
  22. 22.How many degrees does the hour hand of a clock turn in 40 minutes? =
  23. 23.A clock shows 5:48. What time will it show 163 minutes later? (a) 8:21 (b) 8:41 (c) 9:31 (d) 8:31
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  25. 25.A clock shows 1:47. What time will it show 150 minutes later? (a) 4:27 (b) 5:17 (c) 4:07 (d) 4:17
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 134 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 178 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 15 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 50 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 44 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 12 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:44? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 10 minutes? =

Answer key

  1. 87
  2. 5:48
  3. 154
  4. 294
  5. 36
  6. 5.5
  7. 6:45
  8. 6:01
  9. 8:48
  10. 11:39
  11. 105
  12. 25.5
  13. 264
  14. 96
  15. 2:27
  16. 107.5
  17. 54
  18. 41
  19. 72
  20. 150
  21. 5:42
  22. 20
  23. 8:31
  24. 108
  25. 4:17
  26. 15
  27. 67
  28. 89
  29. 156.5
  30. 138.5
  31. 90
  32. 108
  33. 25
  34. 15.5
  35. 130
  36. 14.5
  37. 22
  38. 6
  39. 62
  40. 5

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