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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 510 · 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 41 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 165 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 13 minutes? =
  7. 7.A clock shows 12:29. What time will it show 69 minutes later? (a) 1:38 (b) 1:28 (c) 2:38 (d) 1:48
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 173 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 53 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 22 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 5 minutes? =
  15. 15.A clock shows 9:00. What time will it show 75 minutes later? (a) 10:15 (b) 10:25 (c) 10:05 (d) 11:15
  16. 16.How many degrees does the minute hand of a clock turn in 50 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  20. 20.A clock shows 1:57. What time will it show 165 minutes later? (a) 4:32 (b) 5:42 (c) 4:52 (d) 4:42
  21. 21.A clock shows 8:07. What time will it show 153 minutes later? (a) 10:30 (b) 10:40 (c) 11:40 (d) 10:50
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 46 minutes? =
  24. 24.A clock shows 3:43. What time will it show 135 minutes later? (a) 5:48 (b) 5:58 (c) 6:58 (d) 6:08
  25. 25.How many degrees does the hour hand of a clock turn in 13 minutes? =
  26. 26.A clock shows 8:35. What time will it show 22 minutes later? (a) 9:57 (b) 8:47 (c) 9:07 (d) 8:57
  27. 27.How many degrees does the hour hand of a clock turn in 132 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 52 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 79 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 42 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 58 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 172 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 34 minutes? =

Answer key

  1. 20.5
  2. 110
  3. 50
  4. 128.5
  5. 82.5
  6. 78
  7. 1:38
  8. 110
  9. 86.5
  10. 86.5
  11. 318
  12. 132
  13. 23.5
  14. 30
  15. 10:15
  16. 300
  17. 76
  18. 74
  19. 146.5
  20. 4:42
  21. 10:40
  22. 113
  23. 276
  24. 5:58
  25. 6.5
  26. 8:57
  27. 66
  28. 176
  29. 26
  30. 90.5
  31. 77.5
  32. 4.5
  33. 108
  34. 68.5
  35. 39.5
  36. 252
  37. 348
  38. 119.5
  39. 86
  40. 204

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