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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 498 · 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 4:41? (in degrees) =
  2. 2.A clock shows 11:51. What time will it show 34 minutes later? (a) 12:15 (b) 12:25 (c) 1:25 (d) 12:35
  3. 3.How many degrees does the hour hand of a clock turn in 43 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  7. 7.A clock shows 2:11. What time will it show 11 minutes later? (a) 3:22 (b) 2:32 (c) 2:12 (d) 2:22
  8. 8.How many degrees does the minute hand of a clock turn in 41 minutes? =
  9. 9.A clock shows 10:06. What time will it show 112 minutes later? (a) 11:58 (b) 12:08 (c) 11:48 (d) 12:58
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 14 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  15. 15.A clock shows 11:19. What time will it show 60 minutes later? (a) 12:09 (b) 12:29 (c) 12:19 (d) 1:19
  16. 16.How many degrees does the hour hand of a clock turn in 57 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  20. 20.A clock shows 7:44. What time will it show 72 minutes later? (a) 9:56 (b) 8:46 (c) 8:56 (d) 9:06
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 22 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 10 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 43 minutes? =
  33. 33.A clock shows 11:27. What time will it show 30 minutes later? (a) 12:57 (b) 11:47 (c) 12:07 (d) 11:57
  34. 34.A clock shows 11:56. What time will it show 59 minutes later? (a) 12:55 (b) 1:55 (c) 12:45 (d) 1:05
  35. 35.How many degrees does the minute hand of a clock turn in 57 minutes? =
  36. 36.A clock shows 3:12. What time will it show 110 minutes later? (a) 4:52 (b) 5:12 (c) 6:02 (d) 5:02
  37. 37.How many degrees does the hour hand of a clock turn in 94 minutes? =
  38. 38.A clock shows 1:43. What time will it show 144 minutes later? (a) 3:57 (b) 5:07 (c) 4:17 (d) 4:07
  39. 39.A clock shows 9:37. What time will it show 70 minutes later? (a) 10:47 (b) 10:37 (c) 11:47 (d) 10:57
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =

Answer key

  1. 105.5
  2. 12:25
  3. 21.5
  4. 121.5
  5. 47.5
  6. 28
  7. 2:22
  8. 246
  9. 11:58
  10. 118.5
  11. 154
  12. 129.5
  13. 84
  14. 147.5
  15. 12:19
  16. 28.5
  17. 31.5
  18. 139
  19. 168.5
  20. 8:56
  21. 25.5
  22. 15.5
  23. 179.5
  24. 46
  25. 5.5
  26. 11
  27. 39
  28. 22.5
  29. 31
  30. 153.5
  31. 60
  32. 258
  33. 11:57
  34. 12:55
  35. 342
  36. 5:02
  37. 47
  38. 4:07
  39. 10:47
  40. 62.5

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