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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 386 · 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 35 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 140 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 25 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.A clock shows 4:27. What time will it show 76 minutes later? (a) 5:33 (b) 6:43 (c) 5:43 (d) 5:53
  7. 7.How many degrees does the minute hand of a clock turn in 32 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 57 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 28 minutes? =
  12. 12.A clock shows 1:59. What time will it show 148 minutes later? (a) 4:37 (b) 4:17 (c) 5:27 (d) 4:27
  13. 13.How many degrees does the hour hand of a clock turn in 134 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 108 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 129 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 175 minutes? =
  21. 21.A clock shows 9:53. What time will it show 56 minutes later? (a) 10:39 (b) 11:49 (c) 10:59 (d) 10:49
  22. 22.A clock shows 6:46. What time will it show 72 minutes later? (a) 7:48 (b) 7:58 (c) 8:08 (d) 8:58
  23. 23.A clock shows 5:41. What time will it show 155 minutes later? (a) 8:06 (b) 8:26 (c) 9:16 (d) 8:16
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 40 minutes? =
  32. 32.A clock shows 1:21. What time will it show 97 minutes later? (a) 2:58 (b) 3:58 (c) 3:08 (d) 2:48
  33. 33.A clock shows 2:51. What time will it show 160 minutes later? (a) 5:21 (b) 5:41 (c) 5:31 (d) 6:31
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 49 minutes? =
  36. 36.A clock shows 9:35. What time will it show 70 minutes later? (a) 10:35 (b) 10:45 (c) 11:45 (d) 10:55
  37. 37.A clock shows 6:34. What time will it show 22 minutes later? (a) 7:56 (b) 6:56 (c) 6:46 (d) 7:06
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 52 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =

Answer key

  1. 210
  2. 70
  3. 42
  4. 150
  5. 30
  6. 5:43
  7. 192
  8. 48.5
  9. 16.5
  10. 342
  11. 14
  12. 4:27
  13. 67
  14. 89.5
  15. 54
  16. 56
  17. 64.5
  18. 14
  19. 165.5
  20. 87.5
  21. 10:49
  22. 7:58
  23. 8:16
  24. 95.5
  25. 71.5
  26. 4
  27. 133.5
  28. 111
  29. 5
  30. 171.5
  31. 240
  32. 2:58
  33. 5:31
  34. 88.5
  35. 24.5
  36. 10:45
  37. 6:56
  38. 81
  39. 312
  40. 153

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