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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 746 · 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 56 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 26 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 15 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 129 minutes? =
  7. 7.A clock shows 12:36. What time will it show 111 minutes later? (a) 2:37 (b) 2:17 (c) 2:27 (d) 3:27
  8. 8.A clock shows 9:06. What time will it show 49 minutes later? (a) 10:05 (b) 9:55 (c) 9:45 (d) 10:55
  9. 9.How many degrees does the hour hand of a clock turn in 22 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 34 minutes? =
  13. 13.A clock shows 2:58. What time will it show 111 minutes later? (a) 4:49 (b) 4:59 (c) 4:39 (d) 5:49
  14. 14.How many degrees does the hour hand of a clock turn in 30 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 67 minutes? =
  16. 16.A clock shows 5:52. What time will it show 162 minutes later? (a) 8:24 (b) 9:34 (c) 8:44 (d) 8:34
  17. 17.A clock shows 11:41. What time will it show 14 minutes later? (a) 11:45 (b) 12:55 (c) 11:55 (d) 12:05
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  19. 19.A clock shows 10:50. What time will it show 134 minutes later? (a) 1:14 (b) 1:04 (c) 12:54 (d) 2:04
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 26 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  26. 26.A clock shows 3:35. What time will it show 160 minutes later? (a) 6:15 (b) 6:25 (c) 6:05 (d) 7:15
  27. 27.How many degrees does the minute hand of a clock turn in 14 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 18 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 40 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 12 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 6 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 76 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  38. 38.A clock shows 11:47. What time will it show 41 minutes later? (a) 12:38 (b) 1:28 (c) 12:18 (d) 12:28
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  40. 40.A clock shows 6:11. What time will it show 101 minutes later? (a) 8:02 (b) 8:52 (c) 7:42 (d) 7:52

Answer key

  1. 336
  2. 45.5
  3. 156
  4. 47
  5. 7.5
  6. 64.5
  7. 2:27
  8. 9:55
  9. 11
  10. 140.5
  11. 156.5
  12. 204
  13. 4:49
  14. 15
  15. 33.5
  16. 8:34
  17. 11:55
  18. 23.5
  19. 1:04
  20. 136
  21. 136
  22. 19.5
  23. 13
  24. 58
  25. 175
  26. 6:15
  27. 84
  28. 108
  29. 240
  30. 104
  31. 72
  32. 2.5
  33. 36
  34. 38
  35. 77.5
  36. 46.5
  37. 66
  38. 12:28
  39. 155
  40. 7:52

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