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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 348 · 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 12:41? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  4. 4.A clock shows 5:11. What time will it show 15 minutes later? (a) 5:26 (b) 5:36 (c) 5:16 (d) 6:26
  5. 5.How many degrees does the minute hand of a clock turn in 11 minutes? =
  6. 6.A clock shows 12:21. What time will it show 45 minutes later? (a) 2:06 (b) 1:06 (c) 1:16 (d) 12:56
  7. 7.A clock shows 5:49. What time will it show 44 minutes later? (a) 6:33 (b) 7:33 (c) 6:23 (d) 6:43
  8. 8.How many degrees does the minute hand of a clock turn in 10 minutes? =
  9. 9.A clock shows 12:03. What time will it show 31 minutes later? (a) 12:44 (b) 1:34 (c) 12:24 (d) 12:34
  10. 10.How many degrees does the hour hand of a clock turn in 12 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 96 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  15. 15.A clock shows 10:54. What time will it show 51 minutes later? (a) 11:35 (b) 11:55 (c) 12:45 (d) 11:45
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  18. 18.A clock shows 12:15. What time will it show 103 minutes later? (a) 1:58 (b) 2:08 (c) 2:58 (d) 1:48
  19. 19.How many degrees does the minute hand of a clock turn in 29 minutes? =
  20. 20.A clock shows 1:12. What time will it show 88 minutes later? (a) 2:30 (b) 2:50 (c) 2:40 (d) 3:40
  21. 21.How many degrees does the minute hand of a clock turn in 23 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 86 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 32 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  25. 25.A clock shows 12:18. What time will it show 154 minutes later? (a) 3:52 (b) 3:02 (c) 2:42 (d) 2:52
  26. 26.A clock shows 12:52. What time will it show 105 minutes later? (a) 3:37 (b) 2:47 (c) 2:27 (d) 2:37
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  28. 28.A clock shows 7:31. What time will it show 133 minutes later? (a) 10:44 (b) 9:34 (c) 9:54 (d) 9:44
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 12 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 53 minutes? =
  33. 33.A clock shows 4:46. What time will it show 40 minutes later? (a) 5:36 (b) 6:26 (c) 5:26 (d) 5:16
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  35. 35.A clock shows 8:52. What time will it show 34 minutes later? (a) 10:26 (b) 9:36 (c) 9:26 (d) 9:16
  36. 36.A clock shows 7:41. What time will it show 67 minutes later? (a) 8:38 (b) 8:58 (c) 9:48 (d) 8:48
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 164 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 168 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =

Answer key

  1. 134.5
  2. 52.5
  3. 3
  4. 5:26
  5. 66
  6. 1:06
  7. 6:33
  8. 60
  9. 12:34
  10. 6
  11. 155
  12. 48
  13. 101
  14. 83
  15. 11:45
  16. 123
  17. 159.5
  18. 1:58
  19. 174
  20. 2:40
  21. 138
  22. 43
  23. 16
  24. 65.5
  25. 2:52
  26. 2:37
  27. 112.5
  28. 9:44
  29. 110.5
  30. 96.5
  31. 72
  32. 318
  33. 5:26
  34. 141
  35. 9:26
  36. 8:48
  37. 171
  38. 82
  39. 84
  40. 26

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