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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 763 · 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 8:46. What time will it show 113 minutes later? (a) 10:49 (b) 11:39 (c) 10:39 (d) 10:29
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  4. 4.A clock shows 2:38. What time will it show 69 minutes later? (a) 3:57 (b) 3:37 (c) 3:47 (d) 4:47
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 55 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 178 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 173 minutes? =
  12. 12.A clock shows 6:02. What time will it show 44 minutes later? (a) 6:36 (b) 7:46 (c) 6:46 (d) 6:56
  13. 13.How many degrees does the minute hand of a clock turn in 52 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 39 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 41 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 8 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 54 minutes? =
  22. 22.A clock shows 1:35. What time will it show 85 minutes later? (a) 4:00 (b) 3:10 (c) 2:50 (d) 3:00
  23. 23.A clock shows 4:09. What time will it show 20 minutes later? (a) 4:29 (b) 4:19 (c) 4:39 (d) 5:29
  24. 24.How many degrees does the minute hand of a clock turn in 11 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 126 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
  27. 27.A clock shows 6:44. What time will it show 18 minutes later? (a) 6:52 (b) 7:12 (c) 8:02 (d) 7:02
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 28 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 6 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 31 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  34. 34.A clock shows 1:13. What time will it show 151 minutes later? (a) 3:54 (b) 3:34 (c) 4:44 (d) 3:44
  35. 35.How many degrees does the minute hand of a clock turn in 18 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 19 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 23 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 84 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =

Answer key

  1. 10:39
  2. 122
  3. 137.5
  4. 3:47
  5. 163.5
  6. 3.5
  7. 330
  8. 45.5
  9. 89
  10. 41
  11. 86.5
  12. 6:46
  13. 312
  14. 134.5
  15. 234
  16. 20.5
  17. 48
  18. 44.5
  19. 112.5
  20. 42
  21. 27
  22. 3:00
  23. 4:29
  24. 66
  25. 63
  26. 125
  27. 7:02
  28. 25
  29. 168
  30. 41
  31. 36
  32. 15.5
  33. 141
  34. 3:44
  35. 108
  36. 114
  37. 138.5
  38. 138
  39. 42
  40. 111

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