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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 874 · 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 12:37? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 25 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  5. 5.A clock shows 10:42. What time will it show 27 minutes later? (a) 11:19 (b) 12:09 (c) 10:59 (d) 11:09
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  11. 11.A clock shows 7:49. What time will it show 125 minutes later? (a) 9:44 (b) 10:54 (c) 10:04 (d) 9:54
  12. 12.How many degrees does the minute hand of a clock turn in 15 minutes? =
  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 11:39? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 70 minutes? =
  17. 17.A clock shows 7:50. What time will it show 17 minutes later? (a) 8:17 (b) 7:57 (c) 8:07 (d) 9:07
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  20. 20.A clock shows 2:43. What time will it show 123 minutes later? (a) 4:46 (b) 4:56 (c) 4:36 (d) 5:46
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 3 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  24. 24.A clock shows 4:47. What time will it show 61 minutes later? (a) 5:38 (b) 6:48 (c) 5:48 (d) 5:58
  25. 25.A clock shows 9:04. What time will it show 49 minutes later? (a) 9:43 (b) 10:53 (c) 10:03 (d) 9:53
  26. 26.A clock shows 11:30. What time will it show 156 minutes later? (a) 2:16 (b) 1:56 (c) 3:06 (d) 2:06
  27. 27.A clock shows 11:26. What time will it show 15 minutes later? (a) 11:41 (b) 12:41 (c) 11:31 (d) 11:51
  28. 28.How many degrees does the hour hand of a clock turn in 120 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  30. 30.A clock shows 3:59. What time will it show 120 minutes later? (a) 5:49 (b) 5:59 (c) 6:59 (d) 6:09
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  33. 33.A clock shows 9:11. What time will it show 14 minutes later? (a) 10:25 (b) 9:25 (c) 9:35 (d) 9:15
  34. 34.A clock shows 4:55. What time will it show 115 minutes later? (a) 6:50 (b) 7:50 (c) 7:00 (d) 6:40
  35. 35.How many degrees does the hour hand of a clock turn in 139 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  37. 37.A clock shows 7:17. What time will it show 90 minutes later? (a) 9:47 (b) 8:57 (c) 8:37 (d) 8:47
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  40. 40.A clock shows 4:15. What time will it show 161 minutes later? (a) 6:46 (b) 7:06 (c) 7:56 (d) 6:56

Answer key

  1. 156.5
  2. 150
  3. 107
  4. 132
  5. 11:09
  6. 158
  7. 33
  8. 93
  9. 123.5
  10. 76
  11. 9:54
  12. 90
  13. 84
  14. 115.5
  15. 21.5
  16. 35
  17. 8:07
  18. 153.5
  19. 72.5
  20. 4:46
  21. 110.5
  22. 18
  23. 131.5
  24. 5:48
  25. 9:53
  26. 2:06
  27. 11:41
  28. 60
  29. 119
  30. 5:59
  31. 19
  32. 162.5
  33. 9:25
  34. 6:50
  35. 69.5
  36. 108.5
  37. 8:47
  38. 72
  39. 157.5
  40. 6:56

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