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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 346 · 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 31 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  6. 6.A clock shows 1:08. What time will it show 47 minutes later? (a) 2:05 (b) 1:55 (c) 2:55 (d) 1:45
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  9. 9.A clock shows 5:33. What time will it show 51 minutes later? (a) 6:34 (b) 6:24 (c) 6:14 (d) 7:24
  10. 10.How many degrees does the hour hand of a clock turn in 20 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 14 minutes? =
  12. 12.A clock shows 5:51. What time will it show 155 minutes later? (a) 8:16 (b) 8:36 (c) 8:26 (d) 9:26
  13. 13.A clock shows 5:02. What time will it show 42 minutes later? (a) 5:44 (b) 5:34 (c) 6:44 (d) 5:54
  14. 14.A clock shows 2:55. What time will it show 82 minutes later? (a) 4:17 (b) 5:17 (c) 4:07 (d) 4:27
  15. 15.A clock shows 3:16. What time will it show 116 minutes later? (a) 5:12 (b) 5:02 (c) 6:12 (d) 5:22
  16. 16.How many degrees does the minute hand of a clock turn in 16 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 11 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 34 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 9 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 54 minutes? =
  23. 23.A clock shows 5:25. What time will it show 102 minutes later? (a) 8:07 (b) 6:57 (c) 7:17 (d) 7:07
  24. 24.A clock shows 12:22. What time will it show 166 minutes later? (a) 2:58 (b) 4:08 (c) 3:18 (d) 3:08
  25. 25.How many degrees does the minute hand of a clock turn in 3 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 149 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 136 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 18 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  30. 30.A clock shows 3:15. What time will it show 135 minutes later? (a) 5:20 (b) 5:40 (c) 5:30 (d) 6:30
  31. 31.A clock shows 9:05. What time will it show 85 minutes later? (a) 10:40 (b) 10:20 (c) 10:30 (d) 11:30
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 34 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 36 minutes? =

Answer key

  1. 186
  2. 142
  3. 173.5
  4. 46
  5. 78.5
  6. 1:55
  7. 148.5
  8. 46
  9. 6:24
  10. 10
  11. 84
  12. 8:26
  13. 5:44
  14. 4:17
  15. 5:12
  16. 96
  17. 141.5
  18. 66
  19. 17
  20. 70.5
  21. 54
  22. 324
  23. 7:07
  24. 3:08
  25. 18
  26. 74.5
  27. 68
  28. 9
  29. 24.5
  30. 5:30
  31. 10:30
  32. 31.5
  33. 140.5
  34. 49.5
  35. 36.5
  36. 135.5
  37. 204
  38. 102.5
  39. 27
  40. 216

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