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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 252 · 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 1:30? (in degrees) =
  2. 2.A clock shows 5:39. What time will it show 14 minutes later? (a) 5:53 (b) 5:43 (c) 6:03 (d) 6:53
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 3 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 51 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 52 minutes? =
  11. 11.A clock shows 4:54. What time will it show 59 minutes later? (a) 6:03 (b) 5:43 (c) 5:53 (d) 6:53
  12. 12.A clock shows 9:14. What time will it show 121 minutes later? (a) 12:15 (b) 11:25 (c) 11:15 (d) 11:05
  13. 13.How many degrees does the hour hand of a clock turn in 138 minutes? =
  14. 14.A clock shows 7:16. What time will it show 132 minutes later? (a) 9:28 (b) 10:28 (c) 9:18 (d) 9:38
  15. 15.A clock shows 1:59. What time will it show 40 minutes later? (a) 2:39 (b) 2:49 (c) 3:39 (d) 2:29
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  17. 17.A clock shows 2:35. What time will it show 48 minutes later? (a) 4:23 (b) 3:23 (c) 3:33 (d) 3:13
  18. 18.How many degrees does the hour hand of a clock turn in 41 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  20. 20.A clock shows 8:30. What time will it show 78 minutes later? (a) 9:48 (b) 9:38 (c) 9:58 (d) 10:48
  21. 21.A clock shows 2:21. What time will it show 73 minutes later? (a) 3:44 (b) 4:34 (c) 3:34 (d) 3:24
  22. 22.A clock shows 2:06. What time will it show 144 minutes later? (a) 4:40 (b) 5:30 (c) 4:20 (d) 4:30
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 30 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  27. 27.A clock shows 8:46. What time will it show 83 minutes later? (a) 11:09 (b) 10:19 (c) 9:59 (d) 10:09
  28. 28.How many degrees does the hour hand of a clock turn in 14 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 106 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 42 minutes? =
  34. 34.A clock shows 2:52. What time will it show 32 minutes later? (a) 3:24 (b) 3:34 (c) 4:24 (d) 3:14
  35. 35.A clock shows 8:33. What time will it show 31 minutes later? (a) 8:54 (b) 9:04 (c) 9:14 (d) 10:04
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 49 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =

Answer key

  1. 135
  2. 5:53
  3. 81
  4. 57.5
  5. 18
  6. 108
  7. 106.5
  8. 50
  9. 306
  10. 312
  11. 5:53
  12. 11:15
  13. 69
  14. 9:28
  15. 2:39
  16. 157.5
  17. 3:23
  18. 20.5
  19. 137
  20. 9:48
  21. 3:34
  22. 4:30
  23. 153
  24. 180
  25. 78
  26. 150.5
  27. 10:09
  28. 7
  29. 169.5
  30. 8
  31. 71.5
  32. 53
  33. 252
  34. 3:24
  35. 9:04
  36. 94
  37. 125
  38. 75
  39. 24.5
  40. 141.5

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