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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 872 · 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 minute hand of a clock turn in 35 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 12:44? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  5. 5.A clock shows 9:06. What time will it show 93 minutes later? (a) 10:29 (b) 11:39 (c) 10:39 (d) 10:49
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  8. 8.A clock shows 5:03. What time will it show 113 minutes later? (a) 6:46 (b) 7:06 (c) 6:56 (d) 7:56
  9. 9.A clock shows 8:07. What time will it show 73 minutes later? (a) 10:20 (b) 9:20 (c) 9:10 (d) 9:30
  10. 10.How many degrees does the hour hand of a clock turn in 105 minutes? =
  11. 11.A clock shows 11:27. What time will it show 53 minutes later? (a) 1:20 (b) 12:20 (c) 12:10 (d) 12:30
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 97 minutes? =
  14. 14.A clock shows 9:10. What time will it show 141 minutes later? (a) 11:41 (b) 12:31 (c) 11:31 (d) 11:21
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  16. 16.A clock shows 11:09. What time will it show 156 minutes later? (a) 2:45 (b) 1:35 (c) 1:45 (d) 1:55
  17. 17.How many degrees does the minute hand of a clock turn in 7 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 82 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  21. 21.A clock shows 1:42. What time will it show 82 minutes later? (a) 4:04 (b) 2:54 (c) 3:04 (d) 3:14
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  26. 26.A clock shows 10:11. What time will it show 48 minutes later? (a) 11:59 (b) 10:59 (c) 10:49 (d) 11:09
  27. 27.A clock shows 1:04. What time will it show 51 minutes later? (a) 2:55 (b) 1:55 (c) 2:05 (d) 1:45
  28. 28.A clock shows 4:13. What time will it show 31 minutes later? (a) 4:34 (b) 4:44 (c) 5:44 (d) 4:54
  29. 29.How many degrees does the minute hand of a clock turn in 19 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 60 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 2 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 48 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 27 minutes? =
  36. 36.A clock shows 2:58. What time will it show 142 minutes later? (a) 5:10 (b) 6:20 (c) 5:30 (d) 5:20
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 127 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =

Answer key

  1. 210
  2. 108
  3. 118
  4. 121.5
  5. 10:39
  6. 19.5
  7. 132.5
  8. 6:56
  9. 9:20
  10. 52.5
  11. 12:20
  12. 169
  13. 48.5
  14. 11:31
  15. 146.5
  16. 1:45
  17. 42
  18. 41
  19. 95
  20. 55.5
  21. 3:04
  22. 174.5
  23. 92
  24. 124.5
  25. 140
  26. 10:59
  27. 1:55
  28. 4:44
  29. 114
  30. 30
  31. 119.5
  32. 12
  33. 24
  34. 94.5
  35. 162
  36. 5:20
  37. 178.5
  38. 154
  39. 63.5
  40. 61

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