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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 30 · 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 6:27. What time will it show 89 minutes later? (a) 7:46 (b) 8:56 (c) 8:06 (d) 7:56
  2. 2.How many degrees does the hour hand of a clock turn in 23 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  6. 6.A clock shows 10:14. What time will it show 19 minutes later? (a) 10:23 (b) 10:43 (c) 11:33 (d) 10:33
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 138 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 4 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  16. 16.A clock shows 2:46. What time will it show 15 minutes later? (a) 3:01 (b) 4:01 (c) 3:11 (d) 2:51
  17. 17.How many degrees does the minute hand of a clock turn in 8 minutes? =
  18. 18.A clock shows 10:24. What time will it show 163 minutes later? (a) 12:57 (b) 1:17 (c) 2:07 (d) 1:07
  19. 19.How many degrees does the hour hand of a clock turn in 53 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 50 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 123 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 18 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 21 minutes? =
  29. 29.A clock shows 1:48. What time will it show 157 minutes later? (a) 4:25 (b) 4:35 (c) 4:15 (d) 5:25
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 124 minutes? =
  32. 32.A clock shows 8:50. What time will it show 160 minutes later? (a) 11:30 (b) 11:20 (c) 11:40 (d) 12:30
  33. 33.How many degrees does the hour hand of a clock turn in 103 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 101 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 48 minutes? =
  37. 37.A clock shows 12:04. What time will it show 107 minutes later? (a) 1:41 (b) 2:51 (c) 2:01 (d) 1:51
  38. 38.A clock shows 3:49. What time will it show 71 minutes later? (a) 5:10 (b) 4:50 (c) 5:00 (d) 6:00
  39. 39.A clock shows 1:01. What time will it show 27 minutes later? (a) 1:18 (b) 1:38 (c) 2:28 (d) 1:28
  40. 40.How many degrees does the minute hand of a clock turn in 6 minutes? =

Answer key

  1. 7:56
  2. 11.5
  3. 116
  4. 93
  5. 130.5
  6. 10:33
  7. 63.5
  8. 69
  9. 174
  10. 33.5
  11. 155.5
  12. 75
  13. 127
  14. 24
  15. 54.5
  16. 3:01
  17. 48
  18. 1:07
  19. 26.5
  20. 300
  21. 77
  22. 81.5
  23. 94.5
  24. 27
  25. 61.5
  26. 108
  27. 70.5
  28. 10.5
  29. 4:25
  30. 52.5
  31. 62
  32. 11:30
  33. 51.5
  34. 46.5
  35. 50.5
  36. 24
  37. 1:51
  38. 5:00
  39. 1:28
  40. 36

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