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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 226 · 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 10:14? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 56 minutes? =
  3. 3.A clock shows 11:51. What time will it show 56 minutes later? (a) 12:47 (b) 12:37 (c) 12:57 (d) 1:47
  4. 4.How many degrees does the hour hand of a clock turn in 30 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 10 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 7 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  9. 9.A clock shows 7:24. What time will it show 89 minutes later? (a) 8:43 (b) 9:03 (c) 8:53 (d) 9:53
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 55 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 137 minutes? =
  16. 16.A clock shows 6:29. What time will it show 118 minutes later? (a) 9:27 (b) 8:27 (c) 8:17 (d) 8:37
  17. 17.A clock shows 12:08. What time will it show 100 minutes later? (a) 2:48 (b) 1:48 (c) 1:58 (d) 1:38
  18. 18.How many degrees does the minute hand of a clock turn in 46 minutes? =
  19. 19.A clock shows 12:26. What time will it show 92 minutes later? (a) 1:48 (b) 2:08 (c) 1:58 (d) 2:58
  20. 20.A clock shows 11:56. What time will it show 43 minutes later? (a) 12:49 (b) 1:39 (c) 12:39 (d) 12:29
  21. 21.A clock shows 5:27. What time will it show 57 minutes later? (a) 6:24 (b) 6:34 (c) 6:14 (d) 7:24
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 156 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  27. 27.A clock shows 4:42. What time will it show 41 minutes later? (a) 6:23 (b) 5:13 (c) 5:33 (d) 5:23
  28. 28.A clock shows 11:29. What time will it show 74 minutes later? (a) 1:43 (b) 12:43 (c) 12:53 (d) 12:33
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 6 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 42 minutes? =
  33. 33.A clock shows 6:15. What time will it show 82 minutes later? (a) 7:37 (b) 7:47 (c) 7:27 (d) 8:37
  34. 34.How many degrees does the minute hand of a clock turn in 41 minutes? =
  35. 35.A clock shows 6:58. What time will it show 157 minutes later? (a) 9:45 (b) 9:35 (c) 10:35 (d) 9:25
  36. 36.How many degrees does the minute hand of a clock turn in 17 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  39. 39.A clock shows 6:03. What time will it show 124 minutes later? (a) 8:17 (b) 8:07 (c) 7:57 (d) 9:07
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =

Answer key

  1. 137
  2. 28
  3. 12:47
  4. 15
  5. 60
  6. 42
  7. 79.5
  8. 64
  9. 8:53
  10. 22.5
  11. 138
  12. 330
  13. 5.5
  14. 57
  15. 68.5
  16. 8:27
  17. 1:48
  18. 276
  19. 1:58
  20. 12:39
  21. 6:24
  22. 84
  23. 78
  24. 38.5
  25. 116.5
  26. 134.5
  27. 5:23
  28. 12:43
  29. 130.5
  30. 36
  31. 149
  32. 21
  33. 7:37
  34. 246
  35. 9:35
  36. 102
  37. 94.5
  38. 153.5
  39. 8:07
  40. 117.5

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