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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 849 · 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 130 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 34 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 126 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  8. 8.A clock shows 3:55. What time will it show 18 minutes later? (a) 4:03 (b) 4:23 (c) 5:13 (d) 4:13
  9. 9.How many degrees does the minute hand of a clock turn in 9 minutes? =
  10. 10.A clock shows 10:52. What time will it show 131 minutes later? (a) 12:53 (b) 2:03 (c) 1:03 (d) 1:13
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  12. 12.A clock shows 9:48. What time will it show 17 minutes later? (a) 11:05 (b) 10:05 (c) 9:55 (d) 10:15
  13. 13.How many degrees does the hour hand of a clock turn in 12 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
  18. 18.A clock shows 12:24. What time will it show 48 minutes later? (a) 2:12 (b) 1:22 (c) 1:12 (d) 1:02
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 36 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 54 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 83 minutes? =
  26. 26.A clock shows 3:18. What time will it show 168 minutes later? (a) 6:16 (b) 5:56 (c) 7:06 (d) 6:06
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 51 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 109 minutes? =
  32. 32.A clock shows 11:12. What time will it show 49 minutes later? (a) 12:01 (b) 12:11 (c) 11:51 (d) 1:01
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  34. 34.A clock shows 10:44. What time will it show 54 minutes later? (a) 11:48 (b) 11:28 (c) 12:38 (d) 11:38
  35. 35.A clock shows 4:18. What time will it show 151 minutes later? (a) 6:49 (b) 7:49 (c) 6:59 (d) 6:39
  36. 36.A clock shows 3:48. What time will it show 136 minutes later? (a) 7:04 (b) 5:54 (c) 6:14 (d) 6:04
  37. 37.A clock shows 6:10. What time will it show 12 minutes later? (a) 7:22 (b) 6:12 (c) 6:32 (d) 6:22
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  39. 39.A clock shows 10:05. What time will it show 144 minutes later? (a) 12:39 (b) 12:29 (c) 1:29 (d) 12:19
  40. 40.How many degrees does the minute hand of a clock turn in 34 minutes? =

Answer key

  1. 65
  2. 17
  3. 87
  4. 63
  5. 134
  6. 158.5
  7. 19.5
  8. 4:13
  9. 54
  10. 1:03
  11. 160.5
  12. 10:05
  13. 6
  14. 157.5
  15. 57
  16. 178.5
  17. 108
  18. 1:12
  19. 99.5
  20. 116
  21. 216
  22. 173.5
  23. 324
  24. 44
  25. 41.5
  26. 6:06
  27. 176.5
  28. 25.5
  29. 119
  30. 111.5
  31. 54.5
  32. 12:01
  33. 74.5
  34. 11:38
  35. 6:49
  36. 6:04
  37. 6:22
  38. 175.5
  39. 12:29
  40. 204

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