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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 269 · 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 2:23? (in degrees) =
  2. 2.A clock shows 11:29. What time will it show 72 minutes later? (a) 12:31 (b) 1:41 (c) 12:51 (d) 12:41
  3. 3.How many degrees does the hour hand of a clock turn in 37 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 46 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 33 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  9. 9.A clock shows 5:07. What time will it show 138 minutes later? (a) 7:35 (b) 7:15 (c) 7:25 (d) 8:25
  10. 10.A clock shows 1:05. What time will it show 142 minutes later? (a) 4:27 (b) 3:17 (c) 3:37 (d) 3:27
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:49? (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 11:08? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 9 minutes? =
  15. 15.A clock shows 1:55. What time will it show 122 minutes later? (a) 3:57 (b) 3:47 (c) 4:07 (d) 4:57
  16. 16.A clock shows 9:45. What time will it show 77 minutes later? (a) 10:52 (b) 11:12 (c) 12:02 (d) 11:02
  17. 17.A clock shows 1:37. What time will it show 146 minutes later? (a) 4:03 (b) 4:13 (c) 3:53 (d) 5:03
  18. 18.How many degrees does the minute hand of a clock turn in 41 minutes? =
  19. 19.A clock shows 11:53. What time will it show 125 minutes later? (a) 1:48 (b) 2:08 (c) 2:58 (d) 1:58
  20. 20.How many degrees does the minute hand of a clock turn in 51 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  23. 23.A clock shows 2:14. What time will it show 42 minutes later? (a) 2:56 (b) 3:56 (c) 3:06 (d) 2:46
  24. 24.A clock shows 6:02. What time will it show 10 minutes later? (a) 6:22 (b) 6:12 (c) 6:02 (d) 7:12
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  26. 26.A clock shows 8:42. What time will it show 162 minutes later? (a) 12:24 (b) 11:14 (c) 11:24 (d) 11:34
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  29. 29.A clock shows 3:36. What time will it show 105 minutes later? (a) 5:11 (b) 5:21 (c) 5:31 (d) 6:21
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  31. 31.A clock shows 1:24. What time will it show 113 minutes later? (a) 3:27 (b) 3:07 (c) 3:17 (d) 4:17
  32. 32.A clock shows 11:21. What time will it show 21 minutes later? (a) 11:32 (b) 11:42 (c) 11:52 (d) 12:42
  33. 33.How many degrees does the hour hand of a clock turn in 131 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 145 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 24 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  38. 38.A clock shows 2:22. What time will it show 161 minutes later? (a) 5:03 (b) 5:13 (c) 6:03 (d) 4:53
  39. 39.How many degrees does the hour hand of a clock turn in 11 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =

Answer key

  1. 66.5
  2. 12:41
  3. 18.5
  4. 85.5
  5. 9
  6. 276
  7. 16.5
  8. 72
  9. 7:25
  10. 3:27
  11. 89.5
  12. 330
  13. 74
  14. 54
  15. 3:57
  16. 11:02
  17. 4:03
  18. 246
  19. 1:58
  20. 306
  21. 17
  22. 2
  23. 2:56
  24. 6:12
  25. 76
  26. 11:24
  27. 45
  28. 56.5
  29. 5:21
  30. 178.5
  31. 3:17
  32. 11:42
  33. 65.5
  34. 72.5
  35. 12
  36. 126
  37. 28.5
  38. 5:03
  39. 5.5
  40. 166

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