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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 409 · 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 43 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  3. 3.A clock shows 10:50. What time will it show 18 minutes later? (a) 12:08 (b) 10:58 (c) 11:18 (d) 11:08
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  5. 5.A clock shows 11:29. What time will it show 119 minutes later? (a) 1:38 (b) 1:18 (c) 1:28 (d) 2:28
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  7. 7.A clock shows 8:17. What time will it show 32 minutes later? (a) 9:49 (b) 8:49 (c) 8:39 (d) 8:59
  8. 8.How many degrees does the hour hand of a clock turn in 125 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 17 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  11. 11.A clock shows 7:28. What time will it show 37 minutes later? (a) 7:55 (b) 8:05 (c) 9:05 (d) 8:15
  12. 12.How many degrees does the minute hand of a clock turn in 36 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 20 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 47 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  18. 18.A clock shows 11:03. What time will it show 53 minutes later? (a) 11:46 (b) 11:56 (c) 12:56 (d) 12:06
  19. 19.How many degrees does the minute hand of a clock turn in 48 minutes? =
  20. 20.A clock shows 10:55. What time will it show 136 minutes later? (a) 1:11 (b) 1:21 (c) 2:11 (d) 1:01
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 19 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 117 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  26. 26.A clock shows 9:54. What time will it show 112 minutes later? (a) 11:56 (b) 11:36 (c) 12:46 (d) 11:46
  27. 27.A clock shows 8:32. What time will it show 32 minutes later? (a) 9:04 (b) 10:04 (c) 9:14 (d) 8:54
  28. 28.How many degrees does the minute hand of a clock turn in 18 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 11 minutes? =
  33. 33.A clock shows 2:06. What time will it show 96 minutes later? (a) 3:52 (b) 3:32 (c) 3:42 (d) 4:42
  34. 34.A clock shows 11:13. What time will it show 66 minutes later? (a) 12:19 (b) 12:09 (c) 12:29 (d) 1:19
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  36. 36.A clock shows 7:52. What time will it show 41 minutes later? (a) 8:33 (b) 8:23 (c) 8:43 (d) 9:33
  37. 37.How many degrees does the minute hand of a clock turn in 6 minutes? =
  38. 38.A clock shows 6:38. What time will it show 61 minutes later? (a) 7:29 (b) 7:49 (c) 8:39 (d) 7:39
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 46 minutes? =

Answer key

  1. 258
  2. 7
  3. 11:08
  4. 83
  5. 1:28
  6. 26
  7. 8:49
  8. 62.5
  9. 102
  10. 175.5
  11. 8:05
  12. 216
  13. 10
  14. 153
  15. 282
  16. 23.5
  17. 131.5
  18. 11:56
  19. 288
  20. 1:11
  21. 34
  22. 9.5
  23. 58.5
  24. 144.5
  25. 151
  26. 11:46
  27. 9:04
  28. 108
  29. 123.5
  30. 18.5
  31. 68
  32. 5.5
  33. 3:42
  34. 12:19
  35. 75
  36. 8:33
  37. 36
  38. 7:39
  39. 19.5
  40. 23

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