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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 578 · 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 1:59? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 17 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 39 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 41 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 157 minutes? =
  12. 12.A clock shows 5:59. What time will it show 104 minutes later? (a) 7:33 (b) 7:53 (c) 7:43 (d) 8:43
  13. 13.A clock shows 10:17. What time will it show 80 minutes later? (a) 11:47 (b) 11:27 (c) 12:37 (d) 11:37
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  15. 15.A clock shows 11:34. What time will it show 17 minutes later? (a) 11:51 (b) 12:01 (c) 12:51 (d) 11:41
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 24 minutes? =
  21. 21.A clock shows 7:54. What time will it show 49 minutes later? (a) 8:43 (b) 8:33 (c) 9:43 (d) 8:53
  22. 22.How many degrees does the minute hand of a clock turn in 57 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  26. 26.A clock shows 3:45. What time will it show 16 minutes later? (a) 3:51 (b) 4:11 (c) 4:01 (d) 5:01
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  29. 29.A clock shows 12:44. What time will it show 107 minutes later? (a) 2:31 (b) 2:21 (c) 2:41 (d) 3:31
  30. 30.How many degrees does the minute hand of a clock turn in 37 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  32. 32.A clock shows 12:39. What time will it show 100 minutes later? (a) 2:09 (b) 2:29 (c) 3:19 (d) 2:19
  33. 33.A clock shows 3:14. What time will it show 35 minutes later? (a) 3:39 (b) 3:49 (c) 4:49 (d) 3:59
  34. 34.A clock shows 8:21. What time will it show 21 minutes later? (a) 8:32 (b) 8:42 (c) 9:42 (d) 8:52
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  36. 36.A clock shows 8:49. What time will it show 146 minutes later? (a) 12:15 (b) 11:05 (c) 11:25 (d) 11:15
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 154 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 11 minutes? =

Answer key

  1. 65.5
  2. 160.5
  3. 102
  4. 19.5
  5. 7.5
  6. 155
  7. 8
  8. 246
  9. 153
  10. 178
  11. 78.5
  12. 7:43
  13. 11:37
  14. 38
  15. 11:51
  16. 142.5
  17. 60.5
  18. 56
  19. 124
  20. 144
  21. 8:43
  22. 342
  23. 306
  24. 42
  25. 87.5
  26. 4:01
  27. 30.5
  28. 139
  29. 2:31
  30. 222
  31. 152.5
  32. 2:19
  33. 3:49
  34. 8:42
  35. 43.5
  36. 11:15
  37. 174.5
  38. 75.5
  39. 77
  40. 66

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