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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 353 · 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 minute hand of a clock turn in 56 minutes? =
  2. 2.A clock shows 3:51. What time will it show 123 minutes later? (a) 6:04 (b) 5:54 (c) 6:54 (d) 5:44
  3. 3.A clock shows 8:02. What time will it show 132 minutes later? (a) 11:14 (b) 10:24 (c) 10:04 (d) 10:14
  4. 4.A clock shows 3:14. What time will it show 162 minutes later? (a) 6:06 (b) 5:46 (c) 6:56 (d) 5:56
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  6. 6.A clock shows 11:33. What time will it show 126 minutes later? (a) 1:49 (b) 1:29 (c) 1:39 (d) 2:39
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  8. 8.A clock shows 4:29. What time will it show 133 minutes later? (a) 7:42 (b) 6:42 (c) 6:32 (d) 6:52
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  11. 11.A clock shows 12:12. What time will it show 24 minutes later? (a) 12:26 (b) 12:46 (c) 1:36 (d) 12:36
  12. 12.How many degrees does the hour hand of a clock turn in 67 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  14. 14.A clock shows 8:33. What time will it show 20 minutes later? (a) 9:53 (b) 8:53 (c) 9:03 (d) 8:43
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  16. 16.A clock shows 1:19. What time will it show 123 minutes later? (a) 3:12 (b) 3:22 (c) 4:22 (d) 3:32
  17. 17.How many degrees does the hour hand of a clock turn in 23 minutes? =
  18. 18.A clock shows 3:47. What time will it show 37 minutes later? (a) 5:24 (b) 4:14 (c) 4:24 (d) 4:34
  19. 19.A clock shows 10:40. What time will it show 128 minutes later? (a) 1:48 (b) 12:58 (c) 12:38 (d) 12:48
  20. 20.How many degrees does the minute hand of a clock turn in 39 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 24 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 11 minutes? =
  26. 26.A clock shows 5:14. What time will it show 134 minutes later? (a) 7:18 (b) 7:38 (c) 7:28 (d) 8:28
  27. 27.How many degrees does the hour hand of a clock turn in 112 minutes? =
  28. 28.A clock shows 10:15. What time will it show 78 minutes later? (a) 11:33 (b) 12:33 (c) 11:23 (d) 11:43
  29. 29.How many degrees does the minute hand of a clock turn in 59 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  32. 32.A clock shows 5:45. What time will it show 92 minutes later? (a) 8:17 (b) 7:17 (c) 7:07 (d) 7:27
  33. 33.How many degrees does the hour hand of a clock turn in 158 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  35. 35.A clock shows 11:56. What time will it show 42 minutes later? (a) 12:38 (b) 12:28 (c) 1:38 (d) 12:48
  36. 36.A clock shows 3:28. What time will it show 141 minutes later? (a) 5:49 (b) 6:49 (c) 5:59 (d) 5:39
  37. 37.A clock shows 6:37. What time will it show 91 minutes later? (a) 8:08 (b) 7:58 (c) 9:08 (d) 8:18
  38. 38.A clock shows 1:12. What time will it show 66 minutes later? (a) 2:18 (b) 2:08 (c) 2:28 (d) 3:18
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 167 minutes? =

Answer key

  1. 336
  2. 5:54
  3. 10:14
  4. 5:56
  5. 171
  6. 1:39
  7. 142
  8. 6:42
  9. 171.5
  10. 83
  11. 12:36
  12. 33.5
  13. 110.5
  14. 8:53
  15. 178.5
  16. 3:22
  17. 11.5
  18. 4:24
  19. 12:48
  20. 234
  21. 148.5
  22. 12.5
  23. 94.5
  24. 144
  25. 66
  26. 7:28
  27. 56
  28. 11:33
  29. 354
  30. 178
  31. 71.5
  32. 7:17
  33. 79
  34. 11.5
  35. 12:38
  36. 5:49
  37. 8:08
  38. 2:18
  39. 22.5
  40. 83.5

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