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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 225 · 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 hour hand of a clock turn in 14 minutes? =
  2. 2.A clock shows 3:49. What time will it show 67 minutes later? (a) 5:06 (b) 4:56 (c) 4:46 (d) 5:56
  3. 3.How many degrees does the minute hand of a clock turn in 24 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  6. 6.A clock shows 6:26. What time will it show 139 minutes later? (a) 8:55 (b) 8:35 (c) 9:45 (d) 8:45
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 20 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  12. 12.A clock shows 4:01. What time will it show 145 minutes later? (a) 6:26 (b) 6:36 (c) 6:16 (d) 7:26
  13. 13.How many degrees does the hour hand of a clock turn in 80 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 12 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 172 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  18. 18.A clock shows 4:46. What time will it show 155 minutes later? (a) 7:31 (b) 7:11 (c) 8:21 (d) 7:21
  19. 19.How many degrees does the minute hand of a clock turn in 23 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  21. 21.A clock shows 8:19. What time will it show 29 minutes later? (a) 8:48 (b) 8:38 (c) 9:48 (d) 8:58
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  23. 23.A clock shows 10:28. What time will it show 154 minutes later? (a) 12:52 (b) 2:02 (c) 1:12 (d) 1:02
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 7 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 103 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 68 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 32 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 40 minutes? =
  31. 31.A clock shows 8:20. What time will it show 72 minutes later? (a) 9:42 (b) 10:32 (c) 9:22 (d) 9:32
  32. 32.How many degrees does the hour hand of a clock turn in 11 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 11 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 159 minutes? =
  35. 35.A clock shows 6:07. What time will it show 73 minutes later? (a) 7:20 (b) 8:20 (c) 7:10 (d) 7:30
  36. 36.A clock shows 4:06. What time will it show 15 minutes later? (a) 4:21 (b) 4:11 (c) 5:21 (d) 4:31
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 28 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 2 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =

Answer key

  1. 7
  2. 4:56
  3. 144
  4. 1.5
  5. 115.5
  6. 8:45
  7. 0
  8. 35
  9. 120
  10. 81.5
  11. 69
  12. 6:26
  13. 40
  14. 32.5
  15. 6
  16. 86
  17. 137.5
  18. 7:21
  19. 138
  20. 134.5
  21. 8:48
  22. 115
  23. 1:02
  24. 89.5
  25. 42
  26. 51.5
  27. 34
  28. 165.5
  29. 192
  30. 20
  31. 9:32
  32. 5.5
  33. 66
  34. 79.5
  35. 7:20
  36. 4:21
  37. 136.5
  38. 168
  39. 12
  40. 180

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