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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 779 · 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.A clock shows 8:34. What time will it show 167 minutes later? (a) 11:21 (b) 11:11 (c) 11:31 (d) 12:21
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 4 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 36 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 115 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  11. 11.A clock shows 1:36. What time will it show 109 minutes later? (a) 4:25 (b) 3:25 (c) 3:35 (d) 3:15
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 123 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 18 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 57 minutes? =
  20. 20.A clock shows 12:53. What time will it show 158 minutes later? (a) 4:31 (b) 3:21 (c) 3:41 (d) 3:31
  21. 21.How many degrees does the minute hand of a clock turn in 7 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 55 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 30 minutes? =
  26. 26.A clock shows 9:58. What time will it show 140 minutes later? (a) 1:18 (b) 12:28 (c) 12:18 (d) 12:08
  27. 27.A clock shows 12:57. What time will it show 22 minutes later? (a) 2:19 (b) 1:29 (c) 1:09 (d) 1:19
  28. 28.How many degrees does the hour hand of a clock turn in 107 minutes? =
  29. 29.A clock shows 12:21. What time will it show 26 minutes later? (a) 12:37 (b) 12:47 (c) 1:47 (d) 12:57
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 13 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  36. 36.A clock shows 9:45. What time will it show 12 minutes later? (a) 10:07 (b) 9:57 (c) 10:57 (d) 9:47
  37. 37.How many degrees does the hour hand of a clock turn in 179 minutes? =
  38. 38.A clock shows 2:38. What time will it show 85 minutes later? (a) 4:03 (b) 5:03 (c) 4:13 (d) 3:53
  39. 39.How many degrees does the minute hand of a clock turn in 17 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 14 minutes? =

Answer key

  1. 11:21
  2. 51
  3. 29
  4. 24
  5. 38.5
  6. 78.5
  7. 28.5
  8. 18
  9. 57.5
  10. 157
  11. 3:25
  12. 139.5
  13. 160.5
  14. 88
  15. 61.5
  16. 9
  17. 59.5
  18. 113
  19. 28.5
  20. 3:31
  21. 42
  22. 141
  23. 330
  24. 13
  25. 180
  26. 12:18
  27. 1:19
  28. 53.5
  29. 12:47
  30. 70.5
  31. 52
  32. 73.5
  33. 63.5
  34. 78
  35. 142
  36. 9:57
  37. 89.5
  38. 4:03
  39. 102
  40. 84

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