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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 175 · 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.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  5. 5.A clock shows 3:40. What time will it show 129 minutes later? (a) 5:59 (b) 5:39 (c) 6:49 (d) 5:49
  6. 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
  7. 7.A clock shows 1:30. What time will it show 105 minutes later? (a) 4:15 (b) 3:15 (c) 3:25 (d) 3:05
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  9. 9.A clock shows 12:33. What time will it show 73 minutes later? (a) 1:46 (b) 2:46 (c) 1:36 (d) 1:56
  10. 10.How many degrees does the hour hand of a clock turn in 58 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 96 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  13. 13.A clock shows 11:16. What time will it show 60 minutes later? (a) 12:26 (b) 1:16 (c) 12:06 (d) 12:16
  14. 14.How many degrees does the minute hand of a clock turn in 19 minutes? =
  15. 15.A clock shows 7:11. What time will it show 26 minutes later? (a) 8:37 (b) 7:47 (c) 7:37 (d) 7:27
  16. 16.A clock shows 10:33. What time will it show 35 minutes later? (a) 11:18 (b) 12:08 (c) 11:08 (d) 10:58
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 31 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 39 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 42 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 97 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  24. 24.A clock shows 7:16. What time will it show 84 minutes later? (a) 9:40 (b) 8:40 (c) 8:30 (d) 8:50
  25. 25.How many degrees does the hour hand of a clock turn in 44 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 38 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 16 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 56 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 70 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  33. 33.A clock shows 10:31. What time will it show 33 minutes later? (a) 12:04 (b) 11:04 (c) 10:54 (d) 11:14
  34. 34.How many degrees does the hour hand of a clock turn in 34 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  39. 39.A clock shows 6:46. What time will it show 168 minutes later? (a) 10:34 (b) 9:44 (c) 9:34 (d) 9:24
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =

Answer key

  1. 72.5
  2. 99
  3. 96.5
  4. 149
  5. 5:49
  6. 216
  7. 3:15
  8. 62
  9. 1:46
  10. 29
  11. 48
  12. 61
  13. 12:16
  14. 114
  15. 7:37
  16. 11:08
  17. 37.5
  18. 15.5
  19. 19.5
  20. 21
  21. 59.5
  22. 48.5
  23. 101.5
  24. 8:40
  25. 22
  26. 30
  27. 19
  28. 96
  29. 28
  30. 35
  31. 39
  32. 68
  33. 11:04
  34. 17
  35. 39.5
  36. 24
  37. 140.5
  38. 103.5
  39. 9:34
  40. 70

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