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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 853 · 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 hour hand of a clock turn in 115 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 12 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 76 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  6. 6.A clock shows 2:08. What time will it show 71 minutes later? (a) 3:19 (b) 3:29 (c) 3:09 (d) 4:19
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  8. 8.A clock shows 4:46. What time will it show 15 minutes later? (a) 5:01 (b) 6:01 (c) 5:11 (d) 4:51
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  10. 10.A clock shows 3:44. What time will it show 84 minutes later? (a) 5:08 (b) 6:08 (c) 5:18 (d) 4:58
  11. 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 31 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 55 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  16. 16.A clock shows 10:11. What time will it show 20 minutes later? (a) 10:21 (b) 10:31 (c) 10:41 (d) 11:31
  17. 17.How many degrees does the hour hand of a clock turn in 14 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  20. 20.A clock shows 4:15. What time will it show 66 minutes later? (a) 5:21 (b) 5:11 (c) 6:21 (d) 5:31
  21. 21.A clock shows 11:52. What time will it show 42 minutes later? (a) 12:44 (b) 12:24 (c) 1:34 (d) 12:34
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 150 minutes? =
  29. 29.A clock shows 4:55. What time will it show 163 minutes later? (a) 8:38 (b) 7:48 (c) 7:38 (d) 7:28
  30. 30.How many degrees does the minute hand of a clock turn in 28 minutes? =
  31. 31.A clock shows 2:12. What time will it show 55 minutes later? (a) 2:57 (b) 3:17 (c) 3:07 (d) 4:07
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 44 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  35. 35.A clock shows 12:49. What time will it show 13 minutes later? (a) 1:12 (b) 2:02 (c) 1:02 (d) 12:52
  36. 36.How many degrees does the hour hand of a clock turn in 152 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 35 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 36 minutes? =

Answer key

  1. 57.5
  2. 123
  3. 6
  4. 38
  5. 143.5
  6. 3:19
  7. 146.5
  8. 5:01
  9. 165.5
  10. 5:08
  11. 258
  12. 54.5
  13. 15.5
  14. 330
  15. 50.5
  16. 10:31
  17. 7
  18. 49
  19. 124
  20. 5:21
  21. 12:34
  22. 11
  23. 113.5
  24. 33
  25. 63.5
  26. 117.5
  27. 99.5
  28. 75
  29. 7:38
  30. 168
  31. 3:07
  32. 176.5
  33. 264
  34. 12
  35. 1:02
  36. 76
  37. 13
  38. 210
  39. 107.5
  40. 18

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