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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 841 · 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 54 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 43 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 11 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  6. 6.A clock shows 1:27. What time will it show 10 minutes later? (a) 2:37 (b) 1:27 (c) 1:47 (d) 1:37
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 35 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 39 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  13. 13.A clock shows 5:11. What time will it show 123 minutes later? (a) 7:04 (b) 8:14 (c) 7:24 (d) 7:14
  14. 14.A clock shows 10:40. What time will it show 33 minutes later? (a) 12:13 (b) 11:13 (c) 11:23 (d) 11:03
  15. 15.How many degrees does the minute hand of a clock turn in 59 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 155 minutes? =
  17. 17.A clock shows 11:55. What time will it show 108 minutes later? (a) 1:33 (b) 2:43 (c) 1:53 (d) 1:43
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 26 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 41 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  24. 24.A clock shows 8:21. What time will it show 163 minutes later? (a) 12:04 (b) 10:54 (c) 11:14 (d) 11:04
  25. 25.A clock shows 1:46. What time will it show 110 minutes later? (a) 3:36 (b) 3:26 (c) 3:46 (d) 4:36
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  28. 28.A clock shows 1:51. What time will it show 48 minutes later? (a) 3:39 (b) 2:39 (c) 2:29 (d) 2:49
  29. 29.How many degrees does the minute hand of a clock turn in 29 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  31. 31.A clock shows 11:42. What time will it show 111 minutes later? (a) 1:23 (b) 1:33 (c) 2:33 (d) 1:43
  32. 32.How many degrees does the hour hand of a clock turn in 165 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 40 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 50 minutes? =
  35. 35.A clock shows 1:06. What time will it show 161 minutes later? (a) 4:47 (b) 3:37 (c) 3:47 (d) 3:57
  36. 36.A clock shows 4:57. What time will it show 61 minutes later? (a) 6:58 (b) 5:58 (c) 5:48 (d) 6:08
  37. 37.A clock shows 9:34. What time will it show 14 minutes later? (a) 9:38 (b) 9:48 (c) 9:58 (d) 10:48
  38. 38.A clock shows 6:12. What time will it show 124 minutes later? (a) 8:06 (b) 8:26 (c) 9:16 (d) 8:16
  39. 39.How many degrees does the hour hand of a clock turn in 23 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 161 minutes? =

Answer key

  1. 324
  2. 158.5
  3. 258
  4. 5.5
  5. 122
  6. 1:37
  7. 131
  8. 210
  9. 74.5
  10. 234
  11. 139
  12. 84.5
  13. 7:14
  14. 11:13
  15. 354
  16. 77.5
  17. 1:43
  18. 82
  19. 120
  20. 156
  21. 246
  22. 33
  23. 154
  24. 11:04
  25. 3:36
  26. 49.5
  27. 59
  28. 2:39
  29. 174
  30. 51.5
  31. 1:33
  32. 82.5
  33. 20
  34. 25
  35. 3:47
  36. 5:58
  37. 9:48
  38. 8:16
  39. 11.5
  40. 80.5

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