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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 879 · 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 169 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 13 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  7. 7.A clock shows 4:20. What time will it show 55 minutes later? (a) 5:05 (b) 6:15 (c) 5:25 (d) 5:15
  8. 8.A clock shows 12:14. What time will it show 32 minutes later? (a) 12:56 (b) 12:36 (c) 1:46 (d) 12:46
  9. 9.A clock shows 1:45. What time will it show 49 minutes later? (a) 3:34 (b) 2:24 (c) 2:44 (d) 2:34
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  11. 11.A clock shows 4:04. What time will it show 44 minutes later? (a) 4:58 (b) 4:38 (c) 5:48 (d) 4:48
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 25 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 14 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 8 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  18. 18.A clock shows 5:40. What time will it show 11 minutes later? (a) 6:51 (b) 5:41 (c) 5:51 (d) 6:01
  19. 19.How many degrees does the hour hand of a clock turn in 38 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  21. 21.A clock shows 12:38. What time will it show 92 minutes later? (a) 2:20 (b) 3:10 (c) 2:10 (d) 2:00
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 141 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 75 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 180 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  28. 28.A clock shows 1:09. What time will it show 109 minutes later? (a) 2:58 (b) 3:58 (c) 2:48 (d) 3:08
  29. 29.A clock shows 7:15. What time will it show 110 minutes later? (a) 9:15 (b) 9:05 (c) 8:55 (d) 10:05
  30. 30.How many degrees does the hour hand of a clock turn in 31 minutes? =
  31. 31.A clock shows 10:02. What time will it show 107 minutes later? (a) 11:59 (b) 12:49 (c) 11:49 (d) 11:39
  32. 32.How many degrees does the minute hand of a clock turn in 30 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 36 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 27 minutes? =
  36. 36.A clock shows 6:12. What time will it show 94 minutes later? (a) 7:46 (b) 8:46 (c) 7:36 (d) 7:56
  37. 37.How many degrees does the minute hand of a clock turn in 39 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 78 minutes? =
  39. 39.A clock shows 7:31. What time will it show 107 minutes later? (a) 9:28 (b) 10:18 (c) 9:08 (d) 9:18
  40. 40.How many degrees does the hour hand of a clock turn in 58 minutes? =

Answer key

  1. 84.5
  2. 108
  3. 132.5
  4. 25
  5. 78
  6. 134
  7. 5:15
  8. 12:46
  9. 2:34
  10. 177.5
  11. 4:48
  12. 134
  13. 94
  14. 12.5
  15. 7
  16. 48
  17. 102.5
  18. 5:51
  19. 19
  20. 146.5
  21. 2:10
  22. 152
  23. 70.5
  24. 37.5
  25. 141
  26. 90
  27. 173.5
  28. 2:58
  29. 9:05
  30. 15.5
  31. 11:49
  32. 180
  33. 216
  34. 119
  35. 13.5
  36. 7:46
  37. 234
  38. 39
  39. 9:18
  40. 29

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