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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 654 · 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 12:45? (in degrees) =
  2. 2.A clock shows 9:57. What time will it show 61 minutes later? (a) 11:58 (b) 11:08 (c) 10:48 (d) 10:58
  3. 3.A clock shows 11:08. What time will it show 96 minutes later? (a) 1:44 (b) 12:44 (c) 12:54 (d) 12:34
  4. 4.A clock shows 7:14. What time will it show 61 minutes later? (a) 8:25 (b) 8:05 (c) 9:15 (d) 8:15
  5. 5.How many degrees does the hour hand of a clock turn in 103 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 17 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  9. 9.A clock shows 5:32. What time will it show 55 minutes later? (a) 7:27 (b) 6:27 (c) 6:17 (d) 6:37
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 9 minutes? =
  12. 12.A clock shows 10:21. What time will it show 164 minutes later? (a) 12:55 (b) 1:15 (c) 2:05 (d) 1:05
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  15. 15.A clock shows 4:40. What time will it show 66 minutes later? (a) 5:56 (b) 5:46 (c) 6:46 (d) 5:36
  16. 16.A clock shows 4:24. What time will it show 70 minutes later? (a) 5:24 (b) 6:34 (c) 5:44 (d) 5:34
  17. 17.How many degrees does the hour hand of a clock turn in 20 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 24 minutes? =
  19. 19.A clock shows 3:20. What time will it show 59 minutes later? (a) 4:19 (b) 4:09 (c) 5:19 (d) 4:29
  20. 20.A clock shows 1:49. What time will it show 59 minutes later? (a) 3:48 (b) 2:38 (c) 2:58 (d) 2:48
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  22. 22.A clock shows 12:48. What time will it show 110 minutes later? (a) 2:38 (b) 2:28 (c) 2:48 (d) 3:38
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  24. 24.A clock shows 11:39. What time will it show 61 minutes later? (a) 12:40 (b) 12:50 (c) 1:40 (d) 12:30
  25. 25.A clock shows 9:31. What time will it show 41 minutes later? (a) 10:12 (b) 10:22 (c) 11:12 (d) 10:02
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 45 minutes? =
  29. 29.A clock shows 1:51. What time will it show 106 minutes later? (a) 3:27 (b) 3:37 (c) 3:47 (d) 4:37
  30. 30.A clock shows 8:57. What time will it show 35 minutes later? (a) 9:42 (b) 9:22 (c) 10:32 (d) 9:32
  31. 31.How many degrees does the minute hand of a clock turn in 52 minutes? =
  32. 32.A clock shows 9:45. What time will it show 75 minutes later? (a) 11:10 (b) 11:00 (c) 12:00 (d) 10:50
  33. 33.A clock shows 10:07. What time will it show 22 minutes later? (a) 10:39 (b) 10:19 (c) 10:29 (d) 11:29
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 157 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 42 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 51 minutes? =
  39. 39.A clock shows 4:50. What time will it show 63 minutes later? (a) 5:53 (b) 6:03 (c) 6:53 (d) 5:43
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =

Answer key

  1. 112.5
  2. 10:58
  3. 12:44
  4. 8:15
  5. 51.5
  6. 102
  7. 157.5
  8. 55.5
  9. 6:27
  10. 43
  11. 54
  12. 1:05
  13. 13.5
  14. 139.5
  15. 5:46
  16. 5:34
  17. 10
  18. 12
  19. 4:19
  20. 2:48
  21. 38.5
  22. 2:38
  23. 40.5
  24. 12:40
  25. 10:12
  26. 112
  27. 83
  28. 22.5
  29. 3:37
  30. 9:32
  31. 312
  32. 11:00
  33. 10:29
  34. 41
  35. 78.5
  36. 252
  37. 151
  38. 306
  39. 5:53
  40. 161

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