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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 61 · 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 3:53? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 15 minutes? =
  5. 5.A clock shows 6:33. What time will it show 132 minutes later? (a) 8:35 (b) 9:45 (c) 8:55 (d) 8:45
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 156 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 29 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 39 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  12. 12.A clock shows 11:41. What time will it show 12 minutes later? (a) 11:53 (b) 12:03 (c) 12:53 (d) 11:43
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  14. 14.A clock shows 2:11. What time will it show 153 minutes later? (a) 5:44 (b) 4:34 (c) 4:44 (d) 4:54
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 12 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 27 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 56 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  22. 22.A clock shows 4:06. What time will it show 162 minutes later? (a) 6:58 (b) 7:48 (c) 6:48 (d) 6:38
  23. 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  25. 25.A clock shows 5:29. What time will it show 103 minutes later? (a) 8:12 (b) 7:22 (c) 7:12 (d) 7:02
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  27. 27.A clock shows 12:49. What time will it show 45 minutes later? (a) 2:34 (b) 1:24 (c) 1:34 (d) 1:44
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 70 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 86 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  32. 32.A clock shows 3:29. What time will it show 150 minutes later? (a) 6:09 (b) 5:49 (c) 6:59 (d) 5:59
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 69 minutes? =
  35. 35.A clock shows 10:43. What time will it show 130 minutes later? (a) 1:03 (b) 1:53 (c) 12:43 (d) 12:53
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 21 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =

Answer key

  1. 158.5
  2. 42
  3. 19
  4. 90
  5. 8:45
  6. 74.5
  7. 78
  8. 156.5
  9. 174
  10. 19.5
  11. 129
  12. 11:53
  13. 46
  14. 4:44
  15. 49
  16. 72
  17. 80
  18. 162
  19. 113.5
  20. 336
  21. 114.5
  22. 6:48
  23. 306
  24. 119
  25. 7:12
  26. 140.5
  27. 1:34
  28. 9
  29. 35
  30. 43
  31. 79.5
  32. 5:59
  33. 99
  34. 34.5
  35. 12:53
  36. 128
  37. 98.5
  38. 126
  39. 43.5
  40. 92.5

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