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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 456 · 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 minute hand of a clock turn in 57 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 54 minutes? =
  4. 4.A clock shows 4:53. What time will it show 123 minutes later? (a) 6:46 (b) 7:06 (c) 6:56 (d) 7:56
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  6. 6.A clock shows 12:53. What time will it show 168 minutes later? (a) 3:51 (b) 3:31 (c) 4:41 (d) 3:41
  7. 7.How many degrees does the hour hand of a clock turn in 125 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 13 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  13. 13.A clock shows 3:07. What time will it show 142 minutes later? (a) 5:39 (b) 5:19 (c) 6:29 (d) 5:29
  14. 14.How many degrees does the hour hand of a clock turn in 87 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 100 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 154 minutes? =
  18. 18.A clock shows 2:13. What time will it show 167 minutes later? (a) 5:00 (b) 5:10 (c) 4:50 (d) 6:00
  19. 19.How many degrees does the minute hand of a clock turn in 7 minutes? =
  20. 20.A clock shows 7:47. What time will it show 41 minutes later? (a) 8:28 (b) 8:38 (c) 8:18 (d) 9:28
  21. 21.A clock shows 5:14. What time will it show 81 minutes later? (a) 6:45 (b) 7:35 (c) 6:25 (d) 6:35
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  23. 23.A clock shows 10:28. What time will it show 49 minutes later? (a) 11:17 (b) 11:07 (c) 11:27 (d) 12:17
  24. 24.A clock shows 2:46. What time will it show 142 minutes later? (a) 5:18 (b) 6:08 (c) 4:58 (d) 5:08
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 115 minutes? =
  27. 27.A clock shows 6:30. What time will it show 104 minutes later? (a) 9:14 (b) 8:04 (c) 8:24 (d) 8:14
  28. 28.A clock shows 1:50. What time will it show 99 minutes later? (a) 3:19 (b) 3:29 (c) 3:39 (d) 4:29
  29. 29.How many degrees does the hour hand of a clock turn in 74 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 138 minutes? =
  31. 31.A clock shows 10:06. What time will it show 116 minutes later? (a) 1:02 (b) 12:02 (c) 11:52 (d) 12:12
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 52 minutes? =
  36. 36.A clock shows 3:11. What time will it show 158 minutes later? (a) 5:59 (b) 5:49 (c) 5:39 (d) 6:49
  37. 37.How many degrees does the minute hand of a clock turn in 23 minutes? =
  38. 38.A clock shows 11:34. What time will it show 31 minutes later? (a) 1:05 (b) 11:55 (c) 12:15 (d) 12:05
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 47 minutes? =

Answer key

  1. 342
  2. 152
  3. 324
  4. 6:56
  5. 92
  6. 3:41
  7. 62.5
  8. 130.5
  9. 167
  10. 141.5
  11. 78
  12. 66
  13. 5:29
  14. 43.5
  15. 121.5
  16. 50
  17. 77
  18. 5:00
  19. 42
  20. 8:28
  21. 6:35
  22. 24
  23. 11:17
  24. 5:08
  25. 164.5
  26. 57.5
  27. 8:14
  28. 3:29
  29. 37
  30. 69
  31. 12:02
  32. 67.5
  33. 18.5
  34. 30
  35. 312
  36. 5:49
  37. 138
  38. 12:05
  39. 42
  40. 282

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