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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 310 · 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 hour hand of a clock turn in 45 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 24 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 33 minutes? =
  5. 5.A clock shows 7:35. What time will it show 81 minutes later? (a) 9:56 (b) 9:06 (c) 8:46 (d) 8:56
  6. 6.A clock shows 2:15. What time will it show 25 minutes later? (a) 2:30 (b) 2:50 (c) 2:40 (d) 3:40
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 119 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 42 minutes? =
  11. 11.A clock shows 8:14. What time will it show 103 minutes later? (a) 9:47 (b) 9:57 (c) 10:57 (d) 10:07
  12. 12.A clock shows 12:34. What time will it show 78 minutes later? (a) 2:02 (b) 1:52 (c) 1:42 (d) 2:52
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 22 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  19. 19.A clock shows 1:14. What time will it show 87 minutes later? (a) 3:41 (b) 2:51 (c) 2:31 (d) 2:41
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 38 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  23. 23.A clock shows 10:36. What time will it show 61 minutes later? (a) 11:47 (b) 12:37 (c) 11:27 (d) 11:37
  24. 24.A clock shows 1:41. What time will it show 40 minutes later? (a) 2:31 (b) 2:21 (c) 2:11 (d) 3:21
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  26. 26.A clock shows 4:39. What time will it show 147 minutes later? (a) 7:16 (b) 7:06 (c) 8:06 (d) 6:56
  27. 27.A clock shows 8:53. What time will it show 123 minutes later? (a) 10:46 (b) 11:56 (c) 10:56 (d) 11:06
  28. 28.How many degrees does the minute hand of a clock turn in 45 minutes? =
  29. 29.A clock shows 1:13. What time will it show 58 minutes later? (a) 3:11 (b) 2:01 (c) 2:21 (d) 2:11
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 2 minutes? =
  33. 33.A clock shows 7:48. What time will it show 119 minutes later? (a) 9:47 (b) 9:57 (c) 9:37 (d) 10:47
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  37. 37.A clock shows 4:06. What time will it show 53 minutes later? (a) 4:49 (b) 5:59 (c) 4:59 (d) 5:09
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  39. 39.A clock shows 12:02. What time will it show 56 minutes later? (a) 12:48 (b) 1:08 (c) 1:58 (d) 12:58
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =

Answer key

  1. 22.5
  2. 72
  3. 144
  4. 198
  5. 8:56
  6. 2:40
  7. 163
  8. 111
  9. 59.5
  10. 252
  11. 9:57
  12. 1:52
  13. 173.5
  14. 153.5
  15. 132
  16. 52
  17. 80
  18. 138.5
  19. 2:41
  20. 4.5
  21. 228
  22. 73
  23. 11:37
  24. 2:21
  25. 27
  26. 7:06
  27. 10:56
  28. 270
  29. 2:11
  30. 31.5
  31. 0.5
  32. 12
  33. 9:47
  34. 10.5
  35. 29
  36. 78
  37. 4:59
  38. 122.5
  39. 12:58
  40. 63

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