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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 566 · 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 9:47. What time will it show 170 minutes later? (a) 12:47 (b) 12:37 (c) 12:27 (d) 1:37
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 127 minutes? =
  8. 8.A clock shows 3:56. What time will it show 144 minutes later? (a) 7:20 (b) 6:10 (c) 6:20 (d) 6:30
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 92 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  17. 17.A clock shows 3:21. What time will it show 60 minutes later? (a) 4:21 (b) 4:11 (c) 5:21 (d) 4:31
  18. 18.A clock shows 8:08. What time will it show 125 minutes later? (a) 10:03 (b) 10:13 (c) 11:13 (d) 10:23
  19. 19.A clock shows 3:31. What time will it show 28 minutes later? (a) 3:59 (b) 4:09 (c) 4:59 (d) 3:49
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 132 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 36 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 44 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 39 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 33 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 30 minutes? =
  34. 34.A clock shows 1:58. What time will it show 80 minutes later? (a) 3:28 (b) 4:18 (c) 3:08 (d) 3:18
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 11 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 38 minutes? =

Answer key

  1. 12:37
  2. 148.5
  3. 99
  4. 88.5
  5. 54
  6. 93.5
  7. 63.5
  8. 6:20
  9. 116.5
  10. 13.5
  11. 29.5
  12. 62.5
  13. 46
  14. 57
  15. 135
  16. 156
  17. 4:21
  18. 10:13
  19. 3:59
  20. 78.5
  21. 66
  22. 216
  23. 264
  24. 24.5
  25. 234
  26. 104
  27. 166
  28. 154
  29. 88
  30. 120
  31. 16.5
  32. 152
  33. 180
  34. 3:18
  35. 86
  36. 71.5
  37. 94.5
  38. 58
  39. 66
  40. 19

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