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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 122 · 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 8:16. What time will it show 151 minutes later? (a) 10:57 (b) 11:47 (c) 10:47 (d) 10:37
  2. 2.A clock shows 12:12. What time will it show 79 minutes later? (a) 1:41 (b) 2:31 (c) 1:21 (d) 1:31
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  4. 4.A clock shows 11:55. What time will it show 152 minutes later? (a) 2:27 (b) 3:27 (c) 2:37 (d) 2:17
  5. 5.A clock shows 6:00. What time will it show 37 minutes later? (a) 6:37 (b) 6:27 (c) 7:37 (d) 6:47
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 41 minutes? =
  11. 11.A clock shows 12:20. What time will it show 15 minutes later? (a) 12:45 (b) 12:35 (c) 12:25 (d) 1:35
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  14. 14.A clock shows 10:49. What time will it show 162 minutes later? (a) 1:21 (b) 2:31 (c) 1:41 (d) 1:31
  15. 15.A clock shows 5:05. What time will it show 97 minutes later? (a) 6:32 (b) 6:52 (c) 6:42 (d) 7:42
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 53 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 6 minutes? =
  22. 22.A clock shows 8:53. What time will it show 145 minutes later? (a) 11:08 (b) 11:18 (c) 12:18 (d) 11:28
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  26. 26.A clock shows 3:20. What time will it show 133 minutes later? (a) 5:43 (b) 5:23 (c) 5:33 (d) 6:33
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 113 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 28 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 84 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  38. 38.A clock shows 2:27. What time will it show 166 minutes later? (a) 5:23 (b) 6:13 (c) 5:03 (d) 5:13
  39. 39.How many degrees does the hour hand of a clock turn in 152 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 38 minutes? =

Answer key

  1. 10:47
  2. 1:31
  3. 159
  4. 2:27
  5. 6:37
  6. 133.5
  7. 157.5
  8. 94.5
  9. 9
  10. 20.5
  11. 12:35
  12. 0.5
  13. 112
  14. 1:31
  15. 6:42
  16. 90.5
  17. 154
  18. 74
  19. 114
  20. 318
  21. 36
  22. 11:18
  23. 137
  24. 8.5
  25. 71.5
  26. 5:33
  27. 84.5
  28. 67.5
  29. 57
  30. 23.5
  31. 56.5
  32. 168
  33. 115.5
  34. 42
  35. 88.5
  36. 80.5
  37. 174.5
  38. 5:13
  39. 76
  40. 228

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