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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 222 · 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 8:29? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 11 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 159 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 161 minutes? =
  5. 5.A clock shows 7:51. What time will it show 125 minutes later? (a) 10:56 (b) 9:46 (c) 9:56 (d) 10:06
  6. 6.A clock shows 12:22. What time will it show 74 minutes later? (a) 1:26 (b) 1:36 (c) 1:46 (d) 2:36
  7. 7.How many degrees does the minute hand of a clock turn in 14 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  10. 10.A clock shows 5:29. What time will it show 91 minutes later? (a) 7:10 (b) 6:50 (c) 8:00 (d) 7:00
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 39 minutes? =
  14. 14.A clock shows 4:36. What time will it show 55 minutes later? (a) 5:21 (b) 5:41 (c) 5:31 (d) 6:31
  15. 15.A clock shows 9:54. What time will it show 52 minutes later? (a) 11:46 (b) 10:36 (c) 10:46 (d) 10:56
  16. 16.A clock shows 7:50. What time will it show 161 minutes later? (a) 10:41 (b) 10:21 (c) 10:31 (d) 11:31
  17. 17.A clock shows 7:48. What time will it show 153 minutes later? (a) 10:31 (b) 11:21 (c) 10:11 (d) 10:21
  18. 18.A clock shows 12:16. What time will it show 118 minutes later? (a) 3:14 (b) 2:14 (c) 2:04 (d) 2:24
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  21. 21.A clock shows 8:47. What time will it show 91 minutes later? (a) 10:28 (b) 11:18 (c) 10:18 (d) 10:08
  22. 22.A clock shows 2:27. What time will it show 112 minutes later? (a) 4:29 (b) 4:19 (c) 5:19 (d) 4:09
  23. 23.A clock shows 3:58. What time will it show 23 minutes later? (a) 4:31 (b) 5:21 (c) 4:21 (d) 4:11
  24. 24.A clock shows 5:30. What time will it show 63 minutes later? (a) 6:43 (b) 7:33 (c) 6:23 (d) 6:33
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  26. 26.A clock shows 12:57. What time will it show 97 minutes later? (a) 2:34 (b) 3:34 (c) 2:44 (d) 2:24
  27. 27.How many degrees does the minute hand of a clock turn in 58 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 28 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 45 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 46 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 42 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 6 minutes? =

Answer key

  1. 80.5
  2. 66
  3. 79.5
  4. 80.5
  5. 9:56
  6. 1:36
  7. 84
  8. 111
  9. 90
  10. 7:00
  11. 54
  12. 168.5
  13. 234
  14. 5:31
  15. 10:46
  16. 10:31
  17. 10:21
  18. 2:14
  19. 8
  20. 101
  21. 10:18
  22. 4:19
  23. 4:21
  24. 6:33
  25. 165
  26. 2:34
  27. 348
  28. 64.5
  29. 61.5
  30. 65
  31. 168
  32. 270
  33. 142
  34. 276
  35. 174.5
  36. 139.5
  37. 252
  38. 89.5
  39. 8.5
  40. 36

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