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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 243 · 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 15 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  3. 3.A clock shows 4:53. What time will it show 74 minutes later? (a) 6:07 (b) 7:07 (c) 5:57 (d) 6:17
  4. 4.How many degrees does the minute hand of a clock turn in 28 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 40 minutes? =
  9. 9.A clock shows 3:51. What time will it show 119 minutes later? (a) 6:50 (b) 6:00 (c) 5:40 (d) 5:50
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  12. 12.A clock shows 2:50. What time will it show 160 minutes later? (a) 5:20 (b) 5:30 (c) 5:40 (d) 6:30
  13. 13.A clock shows 9:57. What time will it show 20 minutes later? (a) 10:07 (b) 11:17 (c) 10:27 (d) 10:17
  14. 14.How many degrees does the hour hand of a clock turn in 116 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  16. 16.A clock shows 2:41. What time will it show 137 minutes later? (a) 4:58 (b) 5:58 (c) 4:48 (d) 5:08
  17. 17.How many degrees does the hour hand of a clock turn in 91 minutes? =
  18. 18.A clock shows 12:55. What time will it show 78 minutes later? (a) 2:23 (b) 3:13 (c) 2:13 (d) 2:03
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 82 minutes? =
  21. 21.A clock shows 12:53. What time will it show 24 minutes later? (a) 1:17 (b) 1:07 (c) 2:17 (d) 1:27
  22. 22.How many degrees does the hour hand of a clock turn in 78 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 122 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 9 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 3 minutes? =
  31. 31.A clock shows 2:02. What time will it show 34 minutes later? (a) 2:36 (b) 3:36 (c) 2:46 (d) 2:26
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 33 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 33 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 5 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 19 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 149 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  40. 40.A clock shows 11:25. What time will it show 122 minutes later? (a) 1:17 (b) 1:37 (c) 1:27 (d) 2:27

Answer key

  1. 90
  2. 24
  3. 6:07
  4. 168
  5. 138
  6. 106
  7. 23
  8. 240
  9. 5:50
  10. 67.5
  11. 80
  12. 5:30
  13. 10:17
  14. 58
  15. 9.5
  16. 4:58
  17. 45.5
  18. 2:13
  19. 169.5
  20. 41
  21. 1:17
  22. 39
  23. 109.5
  24. 138
  25. 61
  26. 54
  27. 9
  28. 173.5
  29. 109
  30. 18
  31. 2:36
  32. 123
  33. 109.5
  34. 16.5
  35. 198
  36. 30
  37. 114
  38. 74.5
  39. 152.5
  40. 1:27

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