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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 444 · 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 2:33. What time will it show 168 minutes later? (a) 5:11 (b) 6:21 (c) 5:21 (d) 5:31
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  5. 5.A clock shows 5:49. What time will it show 114 minutes later? (a) 7:53 (b) 8:43 (c) 7:33 (d) 7:43
  6. 6.How many degrees does the minute hand of a clock turn in 10 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 20 minutes? =
  8. 8.A clock shows 12:19. What time will it show 104 minutes later? (a) 2:03 (b) 2:13 (c) 3:03 (d) 1:53
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 147 minutes? =
  14. 14.A clock shows 10:01. What time will it show 45 minutes later? (a) 10:46 (b) 11:46 (c) 10:36 (d) 10:56
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  17. 17.A clock shows 3:06. What time will it show 13 minutes later? (a) 3:29 (b) 3:19 (c) 4:19 (d) 3:09
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  19. 19.A clock shows 5:58. What time will it show 54 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02
  20. 20.How many degrees does the minute hand of a clock turn in 42 minutes? =
  21. 21.A clock shows 1:12. What time will it show 62 minutes later? (a) 3:14 (b) 2:04 (c) 2:14 (d) 2:24
  22. 22.How many degrees does the minute hand of a clock turn in 21 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 72 minutes? =
  24. 24.A clock shows 4:59. What time will it show 37 minutes later? (a) 5:46 (b) 5:26 (c) 5:36 (d) 6:36
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
  26. 26.A clock shows 3:33. What time will it show 139 minutes later? (a) 6:02 (b) 5:42 (c) 6:52 (d) 5:52
  27. 27.How many degrees does the minute hand of a clock turn in 9 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 132 minutes? =
  31. 31.A clock shows 2:13. What time will it show 160 minutes later? (a) 4:43 (b) 4:53 (c) 5:53 (d) 5:03
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 37 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  37. 37.A clock shows 11:50. What time will it show 28 minutes later? (a) 12:18 (b) 1:18 (c) 12:28 (d) 12:08
  38. 38.How many degrees does the hour hand of a clock turn in 154 minutes? =
  39. 39.A clock shows 2:38. What time will it show 161 minutes later? (a) 5:19 (b) 5:29 (c) 5:09 (d) 6:19
  40. 40.How many degrees does the minute hand of a clock turn in 39 minutes? =

Answer key

  1. 5:21
  2. 99
  3. 148
  4. 15
  5. 7:43
  6. 60
  7. 120
  8. 2:03
  9. 156
  10. 60.5
  11. 0.5
  12. 24.5
  13. 73.5
  14. 10:46
  15. 173.5
  16. 74.5
  17. 3:19
  18. 49
  19. 6:52
  20. 252
  21. 2:14
  22. 126
  23. 36
  24. 5:36
  25. 10.5
  26. 5:52
  27. 54
  28. 43.5
  29. 8.5
  30. 66
  31. 4:53
  32. 133.5
  33. 36
  34. 222
  35. 31
  36. 30
  37. 12:18
  38. 77
  39. 5:19
  40. 234

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