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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 303 · 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 4:16. What time will it show 158 minutes later? (a) 6:44 (b) 6:54 (c) 7:54 (d) 7:04
  2. 2.How many degrees does the minute hand of a clock turn in 11 minutes? =
  3. 3.A clock shows 6:59. What time will it show 74 minutes later? (a) 8:23 (b) 9:13 (c) 8:03 (d) 8:13
  4. 4.A clock shows 11:44. What time will it show 112 minutes later? (a) 1:36 (b) 1:46 (c) 1:26 (d) 2:36
  5. 5.A clock shows 3:21. What time will it show 22 minutes later? (a) 3:33 (b) 4:43 (c) 3:43 (d) 3:53
  6. 6.How many degrees does the minute hand of a clock turn in 28 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 38 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  10. 10.A clock shows 8:54. What time will it show 43 minutes later? (a) 9:47 (b) 10:37 (c) 9:27 (d) 9:37
  11. 11.A clock shows 10:49. What time will it show 155 minutes later? (a) 1:14 (b) 1:34 (c) 2:24 (d) 1:24
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 85 minutes? =
  14. 14.A clock shows 8:12. What time will it show 79 minutes later? (a) 10:31 (b) 9:31 (c) 9:21 (d) 9:41
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  16. 16.A clock shows 1:16. What time will it show 99 minutes later? (a) 2:55 (b) 2:45 (c) 3:55 (d) 3:05
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 34 minutes? =
  21. 21.A clock shows 12:03. What time will it show 23 minutes later? (a) 12:36 (b) 12:26 (c) 1:26 (d) 12:16
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 44 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 14 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  28. 28.A clock shows 10:54. What time will it show 57 minutes later? (a) 12:01 (b) 12:51 (c) 11:41 (d) 11:51
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  30. 30.A clock shows 10:51. What time will it show 34 minutes later? (a) 11:15 (b) 11:35 (c) 12:25 (d) 11:25
  31. 31.A clock shows 5:24. What time will it show 35 minutes later? (a) 6:09 (b) 5:59 (c) 5:49 (d) 6:59
  32. 32.A clock shows 5:08. What time will it show 23 minutes later? (a) 5:31 (b) 5:41 (c) 6:31 (d) 5:21
  33. 33.How many degrees does the hour hand of a clock turn in 117 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 12 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  40. 40.A clock shows 6:50. What time will it show 59 minutes later? (a) 7:39 (b) 8:49 (c) 7:59 (d) 7:49

Answer key

  1. 6:54
  2. 66
  3. 8:13
  4. 1:36
  5. 3:43
  6. 168
  7. 165.5
  8. 228
  9. 7
  10. 9:37
  11. 1:24
  12. 76.5
  13. 42.5
  14. 9:31
  15. 97
  16. 2:55
  17. 165
  18. 112
  19. 169.5
  20. 204
  21. 12:26
  22. 108.5
  23. 78
  24. 264
  25. 84
  26. 40.5
  27. 126.5
  28. 11:51
  29. 57
  30. 11:25
  31. 5:59
  32. 5:31
  33. 58.5
  34. 136
  35. 6
  36. 24
  37. 58
  38. 49.5
  39. 150
  40. 7:49

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