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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 153 · 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 4:56. What time will it show 168 minutes later? (a) 7:44 (b) 8:44 (c) 7:34 (d) 7:54
  2. 2.How many degrees does the minute hand of a clock turn in 21 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  5. 5.A clock shows 8:58. What time will it show 16 minutes later? (a) 10:14 (b) 9:04 (c) 9:24 (d) 9:14
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 104 minutes? =
  9. 9.A clock shows 1:12. What time will it show 37 minutes later? (a) 2:49 (b) 1:39 (c) 1:49 (d) 1:59
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  11. 11.A clock shows 8:02. What time will it show 97 minutes later? (a) 10:39 (b) 9:39 (c) 9:29 (d) 9:49
  12. 12.A clock shows 11:24. What time will it show 40 minutes later? (a) 1:04 (b) 11:54 (c) 12:04 (d) 12:14
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 95 minutes? =
  15. 15.A clock shows 10:41. What time will it show 114 minutes later? (a) 12:45 (b) 1:35 (c) 12:25 (d) 12:35
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 75 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 49 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 14 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 142 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 64 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 134 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  31. 31.A clock shows 3:04. What time will it show 60 minutes later? (a) 5:04 (b) 4:14 (c) 4:04 (d) 3:54
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  33. 33.A clock shows 5:43. What time will it show 29 minutes later? (a) 6:22 (b) 7:12 (c) 6:02 (d) 6:12
  34. 34.How many degrees does the minute hand of a clock turn in 6 minutes? =
  35. 35.A clock shows 4:16. What time will it show 77 minutes later? (a) 5:43 (b) 5:23 (c) 6:33 (d) 5:33
  36. 36.How many degrees does the minute hand of a clock turn in 16 minutes? =
  37. 37.A clock shows 2:49. What time will it show 164 minutes later? (a) 6:33 (b) 5:23 (c) 5:33 (d) 5:43
  38. 38.How many degrees does the hour hand of a clock turn in 14 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =

Answer key

  1. 7:44
  2. 126
  3. 40.5
  4. 17
  5. 9:14
  6. 56.5
  7. 47
  8. 52
  9. 1:49
  10. 106
  11. 9:39
  12. 12:04
  13. 157.5
  14. 47.5
  15. 12:35
  16. 58.5
  17. 18.5
  18. 90.5
  19. 37.5
  20. 294
  21. 57
  22. 169.5
  23. 84
  24. 71
  25. 32
  26. 32
  27. 11
  28. 14.5
  29. 67
  30. 97.5
  31. 4:04
  32. 29
  33. 6:12
  34. 36
  35. 5:33
  36. 96
  37. 5:33
  38. 7
  39. 252
  40. 120

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