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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 768 · 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 3:05. What time will it show 128 minutes later? (a) 6:13 (b) 5:13 (c) 5:03 (d) 5:23
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  3. 3.A clock shows 6:50. What time will it show 111 minutes later? (a) 8:41 (b) 9:41 (c) 8:51 (d) 8:31
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 98 minutes? =
  6. 6.A clock shows 4:12. What time will it show 161 minutes later? (a) 7:53 (b) 7:03 (c) 6:53 (d) 6:43
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 82 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 42 minutes? =
  11. 11.A clock shows 8:03. What time will it show 161 minutes later? (a) 10:54 (b) 10:34 (c) 10:44 (d) 11:44
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  13. 13.A clock shows 5:15. What time will it show 126 minutes later? (a) 7:11 (b) 7:31 (c) 8:21 (d) 7:21
  14. 14.How many degrees does the hour hand of a clock turn in 111 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  16. 16.A clock shows 11:39. What time will it show 27 minutes later? (a) 11:56 (b) 1:06 (c) 12:16 (d) 12:06
  17. 17.A clock shows 3:12. What time will it show 110 minutes later? (a) 6:02 (b) 5:02 (c) 5:12 (d) 4:52
  18. 18.A clock shows 9:14. What time will it show 116 minutes later? (a) 11:10 (b) 11:00 (c) 12:10 (d) 11:20
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  21. 21.A clock shows 2:40. What time will it show 157 minutes later? (a) 5:17 (b) 6:17 (c) 5:07 (d) 5:27
  22. 22.How many degrees does the hour hand of a clock turn in 71 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 44 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 44 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 75 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  31. 31.A clock shows 8:54. What time will it show 115 minutes later? (a) 11:49 (b) 10:39 (c) 10:49 (d) 10:59
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  36. 36.A clock shows 10:32. What time will it show 139 minutes later? (a) 1:51 (b) 12:41 (c) 1:01 (d) 12:51
  37. 37.How many degrees does the hour hand of a clock turn in 152 minutes? =
  38. 38.A clock shows 2:40. What time will it show 26 minutes later? (a) 4:06 (b) 3:06 (c) 2:56 (d) 3:16
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 11 minutes? =

Answer key

  1. 5:13
  2. 23.5
  3. 8:41
  4. 134
  5. 49
  6. 6:53
  7. 48
  8. 41
  9. 59
  10. 252
  11. 10:44
  12. 6
  13. 7:21
  14. 55.5
  15. 172
  16. 12:06
  17. 5:02
  18. 11:10
  19. 24
  20. 135.5
  21. 5:17
  22. 35.5
  23. 264
  24. 22
  25. 118.5
  26. 37.5
  27. 151.5
  28. 81.5
  29. 130
  30. 160.5
  31. 10:49
  32. 105
  33. 0.5
  34. 137
  35. 119
  36. 12:51
  37. 76
  38. 3:06
  39. 163.5
  40. 66

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