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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 834 · 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 20 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 17 minutes? =
  4. 4.A clock shows 9:04. What time will it show 34 minutes later? (a) 10:38 (b) 9:48 (c) 9:38 (d) 9:28
  5. 5.A clock shows 1:58. What time will it show 67 minutes later? (a) 2:55 (b) 4:05 (c) 3:05 (d) 3:15
  6. 6.How many degrees does the minute hand of a clock turn in 54 minutes? =
  7. 7.A clock shows 4:10. What time will it show 87 minutes later? (a) 5:47 (b) 6:37 (c) 5:37 (d) 5:27
  8. 8.How many degrees does the hour hand of a clock turn in 33 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 4 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 132 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  14. 14.A clock shows 11:44. What time will it show 22 minutes later? (a) 12:16 (b) 11:56 (c) 1:06 (d) 12:06
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 2 minutes? =
  17. 17.A clock shows 8:35. What time will it show 17 minutes later? (a) 8:42 (b) 9:52 (c) 8:52 (d) 9:02
  18. 18.A clock shows 9:04. What time will it show 28 minutes later? (a) 9:42 (b) 9:22 (c) 9:32 (d) 10:32
  19. 19.A clock shows 4:45. What time will it show 112 minutes later? (a) 6:47 (b) 6:27 (c) 6:37 (d) 7:37
  20. 20.How many degrees does the hour hand of a clock turn in 27 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 137 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 59 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 40 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  31. 31.A clock shows 2:41. What time will it show 156 minutes later? (a) 6:17 (b) 5:07 (c) 5:27 (d) 5:17
  32. 32.A clock shows 4:41. What time will it show 137 minutes later? (a) 7:08 (b) 6:48 (c) 6:58 (d) 7:58
  33. 33.A clock shows 2:11. What time will it show 56 minutes later? (a) 2:57 (b) 4:07 (c) 3:07 (d) 3:17
  34. 34.A clock shows 10:03. What time will it show 95 minutes later? (a) 11:48 (b) 12:38 (c) 11:38 (d) 11:28
  35. 35.How many degrees does the hour hand of a clock turn in 103 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  39. 39.A clock shows 11:16. What time will it show 135 minutes later? (a) 1:21 (b) 2:31 (c) 1:31 (d) 1:41
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =

Answer key

  1. 120
  2. 44
  3. 102
  4. 9:38
  5. 3:05
  6. 324
  7. 5:37
  8. 16.5
  9. 24
  10. 66
  11. 130
  12. 83
  13. 136.5
  14. 12:06
  15. 114
  16. 12
  17. 8:52
  18. 9:32
  19. 6:37
  20. 13.5
  21. 55.5
  22. 68.5
  23. 57
  24. 126.5
  25. 88.5
  26. 129
  27. 29.5
  28. 240
  29. 33
  30. 36.5
  31. 5:17
  32. 6:58
  33. 3:07
  34. 11:38
  35. 51.5
  36. 109.5
  37. 29.5
  38. 75.5
  39. 1:31
  40. 15

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