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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 27 · 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 5:02. What time will it show 103 minutes later? (a) 6:55 (b) 7:45 (c) 6:45 (d) 6:35
  2. 2.A clock shows 10:45. What time will it show 43 minutes later? (a) 11:38 (b) 12:28 (c) 11:18 (d) 11:28
  3. 3.A clock shows 12:13. What time will it show 31 minutes later? (a) 1:44 (b) 12:44 (c) 12:34 (d) 12:54
  4. 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 45 minutes? =
  7. 7.A clock shows 3:38. What time will it show 137 minutes later? (a) 5:55 (b) 6:05 (c) 5:45 (d) 6:55
  8. 8.A clock shows 6:49. What time will it show 15 minutes later? (a) 8:04 (b) 6:54 (c) 7:14 (d) 7:04
  9. 9.A clock shows 4:42. What time will it show 35 minutes later? (a) 5:07 (b) 5:27 (c) 6:17 (d) 5:17
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 15 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  14. 14.A clock shows 8:04. What time will it show 65 minutes later? (a) 9:09 (b) 10:09 (c) 8:59 (d) 9:19
  15. 15.How many degrees does the minute hand of a clock turn in 9 minutes? =
  16. 16.A clock shows 9:32. What time will it show 157 minutes later? (a) 12:09 (b) 1:09 (c) 12:19 (d) 11:59
  17. 17.A clock shows 8:53. What time will it show 35 minutes later? (a) 9:18 (b) 10:28 (c) 9:28 (d) 9:38
  18. 18.How many degrees does the minute hand of a clock turn in 58 minutes? =
  19. 19.A clock shows 9:59. What time will it show 118 minutes later? (a) 12:07 (b) 12:57 (c) 11:47 (d) 11:57
  20. 20.How many degrees does the hour hand of a clock turn in 169 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 130 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 34 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 38 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  28. 28.A clock shows 3:03. What time will it show 88 minutes later? (a) 4:31 (b) 4:41 (c) 4:21 (d) 5:31
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  30. 30.A clock shows 12:54. What time will it show 108 minutes later? (a) 2:52 (b) 2:32 (c) 3:42 (d) 2:42
  31. 31.A clock shows 3:36. What time will it show 120 minutes later? (a) 5:36 (b) 6:36 (c) 5:26 (d) 5:46
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  33. 33.A clock shows 4:18. What time will it show 25 minutes later? (a) 5:43 (b) 4:33 (c) 4:43 (d) 4:53
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 109 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  38. 38.A clock shows 4:32. What time will it show 56 minutes later? (a) 6:28 (b) 5:38 (c) 5:18 (d) 5:28
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =

Answer key

  1. 6:45
  2. 11:28
  3. 12:44
  4. 102
  5. 118.5
  6. 270
  7. 5:55
  8. 7:04
  9. 5:17
  10. 1.5
  11. 124
  12. 90
  13. 22.5
  14. 9:09
  15. 54
  16. 12:09
  17. 9:28
  18. 348
  19. 11:57
  20. 84.5
  21. 65
  22. 204
  23. 228
  24. 94
  25. 48
  26. 28
  27. 135
  28. 4:31
  29. 162
  30. 2:42
  31. 5:36
  32. 155.5
  33. 4:43
  34. 142.5
  35. 54.5
  36. 144.5
  37. 178.5
  38. 5:28
  39. 120.5
  40. 91.5

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