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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 756 · 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 12:02. What time will it show 125 minutes later? (a) 3:07 (b) 2:17 (c) 1:57 (d) 2:07
  2. 2.How many degrees does the hour hand of a clock turn in 41 minutes? =
  3. 3.A clock shows 2:01. What time will it show 161 minutes later? (a) 4:52 (b) 4:42 (c) 4:32 (d) 5:42
  4. 4.How many degrees does the minute hand of a clock turn in 31 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  6. 6.A clock shows 9:08. What time will it show 117 minutes later? (a) 10:55 (b) 11:05 (c) 12:05 (d) 11:15
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  8. 8.A clock shows 12:02. What time will it show 30 minutes later? (a) 1:32 (b) 12:22 (c) 12:42 (d) 12:32
  9. 9.How many degrees does the minute hand of a clock turn in 5 minutes? =
  10. 10.A clock shows 6:42. What time will it show 155 minutes later? (a) 9:27 (b) 10:17 (c) 9:17 (d) 9:07
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 16 minutes? =
  14. 14.A clock shows 3:06. What time will it show 36 minutes later? (a) 3:32 (b) 4:42 (c) 3:52 (d) 3:42
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  17. 17.A clock shows 6:35. What time will it show 61 minutes later? (a) 7:46 (b) 8:36 (c) 7:26 (d) 7:36
  18. 18.A clock shows 5:24. What time will it show 138 minutes later? (a) 8:42 (b) 7:52 (c) 7:42 (d) 7:32
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  20. 20.A clock shows 10:34. What time will it show 82 minutes later? (a) 11:56 (b) 11:46 (c) 12:56 (d) 12:06
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 59 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  24. 24.A clock shows 9:58. What time will it show 10 minutes later? (a) 10:08 (b) 11:08 (c) 9:58 (d) 10:18
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 55 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 3 minutes? =
  28. 28.A clock shows 2:52. What time will it show 26 minutes later? (a) 3:28 (b) 4:18 (c) 3:18 (d) 3:08
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 42 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  32. 32.A clock shows 3:13. What time will it show 80 minutes later? (a) 4:43 (b) 4:23 (c) 4:33 (d) 5:33
  33. 33.A clock shows 11:54. What time will it show 153 minutes later? (a) 3:27 (b) 2:17 (c) 2:27 (d) 2:37
  34. 34.How many degrees does the hour hand of a clock turn in 33 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  37. 37.A clock shows 9:51. What time will it show 104 minutes later? (a) 12:35 (b) 11:45 (c) 11:35 (d) 11:25
  38. 38.How many degrees does the hour hand of a clock turn in 132 minutes? =
  39. 39.A clock shows 10:34. What time will it show 36 minutes later? (a) 11:10 (b) 11:00 (c) 12:10 (d) 11:20
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =

Answer key

  1. 2:07
  2. 20.5
  3. 4:42
  4. 186
  5. 19
  6. 11:05
  7. 84
  8. 12:32
  9. 30
  10. 9:17
  11. 112.5
  12. 150.5
  13. 96
  14. 3:42
  15. 176.5
  16. 108.5
  17. 7:36
  18. 7:42
  19. 153
  20. 11:56
  21. 133.5
  22. 354
  23. 65.5
  24. 10:08
  25. 11
  26. 27.5
  27. 18
  28. 3:18
  29. 132.5
  30. 252
  31. 58.5
  32. 4:33
  33. 2:27
  34. 16.5
  35. 2
  36. 44.5
  37. 11:35
  38. 66
  39. 11:10
  40. 10.5

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