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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 593 · 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 11:46. What time will it show 107 minutes later? (a) 2:33 (b) 1:33 (c) 1:23 (d) 1:43
  2. 2.A clock shows 8:58. What time will it show 139 minutes later? (a) 11:27 (b) 11:07 (c) 11:17 (d) 12:17
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  4. 4.A clock shows 2:06. What time will it show 62 minutes later? (a) 3:18 (b) 3:08 (c) 4:08 (d) 2:58
  5. 5.How many degrees does the minute hand of a clock turn in 58 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 7 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  8. 8.A clock shows 3:17. What time will it show 151 minutes later? (a) 5:58 (b) 5:38 (c) 6:48 (d) 5:48
  9. 9.A clock shows 1:46. What time will it show 45 minutes later? (a) 2:41 (b) 3:31 (c) 2:31 (d) 2:21
  10. 10.A clock shows 10:01. What time will it show 114 minutes later? (a) 11:55 (b) 11:45 (c) 12:05 (d) 12:55
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  12. 12.A clock shows 7:37. What time will it show 129 minutes later? (a) 9:36 (b) 9:56 (c) 10:46 (d) 9:46
  13. 13.A clock shows 12:02. What time will it show 84 minutes later? (a) 1:36 (b) 2:26 (c) 1:16 (d) 1:26
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  16. 16.A clock shows 12:35. What time will it show 120 minutes later? (a) 2:25 (b) 3:35 (c) 2:45 (d) 2:35
  17. 17.A clock shows 10:01. What time will it show 127 minutes later? (a) 1:08 (b) 11:58 (c) 12:08 (d) 12:18
  18. 18.How many degrees does the hour hand of a clock turn in 53 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
  20. 20.A clock shows 7:11. What time will it show 122 minutes later? (a) 9:23 (b) 10:13 (c) 9:13 (d) 9:03
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  23. 23.A clock shows 1:19. What time will it show 158 minutes later? (a) 3:47 (b) 4:07 (c) 3:57 (d) 4:57
  24. 24.How many degrees does the hour hand of a clock turn in 26 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 26 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 141 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 106 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  30. 30.A clock shows 2:17. What time will it show 84 minutes later? (a) 3:51 (b) 3:41 (c) 4:41 (d) 3:31
  31. 31.How many degrees does the minute hand of a clock turn in 20 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 32 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  34. 34.A clock shows 1:49. What time will it show 45 minutes later? (a) 2:24 (b) 3:34 (c) 2:34 (d) 2:44
  35. 35.A clock shows 10:00. What time will it show 114 minutes later? (a) 12:04 (b) 11:44 (c) 12:54 (d) 11:54
  36. 36.A clock shows 4:22. What time will it show 147 minutes later? (a) 7:49 (b) 6:39 (c) 6:49 (d) 6:59
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  38. 38.A clock shows 11:23. What time will it show 99 minutes later? (a) 1:02 (b) 1:12 (c) 12:52 (d) 2:02
  39. 39.How many degrees does the minute hand of a clock turn in 50 minutes? =
  40. 40.A clock shows 12:13. What time will it show 100 minutes later? (a) 2:03 (b) 1:43 (c) 1:53 (d) 2:53

Answer key

  1. 1:33
  2. 11:17
  3. 147.5
  4. 3:08
  5. 348
  6. 42
  7. 134.5
  8. 5:48
  9. 2:31
  10. 11:55
  11. 32
  12. 9:46
  13. 1:26
  14. 59.5
  15. 23
  16. 2:35
  17. 12:08
  18. 26.5
  19. 39
  20. 9:13
  21. 99
  22. 58
  23. 3:57
  24. 13
  25. 122
  26. 156
  27. 70.5
  28. 53
  29. 146
  30. 3:41
  31. 120
  32. 192
  33. 115
  34. 2:34
  35. 11:54
  36. 6:49
  37. 10.5
  38. 1:02
  39. 300
  40. 1:53

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