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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 697 · 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.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 74 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 108 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 36 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 87 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 3 minutes? =
  9. 9.A clock shows 10:12. What time will it show 29 minutes later? (a) 10:41 (b) 10:31 (c) 11:41 (d) 10:51
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  15. 15.A clock shows 6:28. What time will it show 37 minutes later? (a) 7:15 (b) 8:05 (c) 7:05 (d) 6:55
  16. 16.How many degrees does the hour hand of a clock turn in 138 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 55 minutes? =
  18. 18.A clock shows 11:12. What time will it show 160 minutes later? (a) 1:52 (b) 2:52 (c) 1:42 (d) 2:02
  19. 19.A clock shows 7:29. What time will it show 112 minutes later? (a) 9:11 (b) 10:21 (c) 9:21 (d) 9:31
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 59 minutes? =
  23. 23.A clock shows 11:45. What time will it show 79 minutes later? (a) 1:14 (b) 1:04 (c) 2:04 (d) 12:54
  24. 24.How many degrees does the hour hand of a clock turn in 165 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  28. 28.A clock shows 8:36. What time will it show 132 minutes later? (a) 10:48 (b) 10:58 (c) 10:38 (d) 11:48
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  31. 31.A clock shows 3:49. What time will it show 146 minutes later? (a) 7:15 (b) 6:15 (c) 6:25 (d) 6:05
  32. 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
  33. 33.A clock shows 7:08. What time will it show 157 minutes later? (a) 9:35 (b) 9:45 (c) 10:45 (d) 9:55
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 168 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  37. 37.A clock shows 3:10. What time will it show 69 minutes later? (a) 4:29 (b) 4:09 (c) 5:19 (d) 4:19
  38. 38.How many degrees does the minute hand of a clock turn in 34 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 94 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =

Answer key

  1. 112.5
  2. 130
  3. 37
  4. 154.5
  5. 54
  6. 18
  7. 43.5
  8. 18
  9. 10:41
  10. 54.5
  11. 134.5
  12. 107
  13. 19
  14. 88
  15. 7:05
  16. 69
  17. 27.5
  18. 1:52
  19. 9:21
  20. 51
  21. 103.5
  22. 29.5
  23. 1:04
  24. 82.5
  25. 158.5
  26. 119.5
  27. 150.5
  28. 10:48
  29. 39
  30. 89.5
  31. 6:15
  32. 282
  33. 9:45
  34. 46
  35. 84
  36. 30.5
  37. 4:19
  38. 204
  39. 47
  40. 76.5

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