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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 49 · 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 83 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 45 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 146 minutes? =
  7. 7.A clock shows 6:26. What time will it show 114 minutes later? (a) 9:20 (b) 8:20 (c) 8:30 (d) 8:10
  8. 8.How many degrees does the hour hand of a clock turn in 31 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 31 minutes? =
  10. 10.A clock shows 9:39. What time will it show 132 minutes later? (a) 12:51 (b) 11:41 (c) 11:51 (d) 12:01
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 2 minutes? =
  13. 13.A clock shows 4:37. What time will it show 88 minutes later? (a) 5:55 (b) 6:05 (c) 6:15 (d) 7:05
  14. 14.A clock shows 11:52. What time will it show 118 minutes later? (a) 2:50 (b) 1:40 (c) 2:00 (d) 1:50
  15. 15.A clock shows 9:35. What time will it show 128 minutes later? (a) 11:43 (b) 11:53 (c) 12:43 (d) 11:33
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 51 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 28 minutes? =
  22. 22.A clock shows 4:14. What time will it show 30 minutes later? (a) 5:44 (b) 4:44 (c) 4:34 (d) 4:54
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  24. 24.A clock shows 8:09. What time will it show 133 minutes later? (a) 10:22 (b) 10:32 (c) 11:22 (d) 10:12
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 17 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 76 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  30. 30.A clock shows 1:33. What time will it show 11 minutes later? (a) 1:34 (b) 2:44 (c) 1:44 (d) 1:54
  31. 31.A clock shows 10:01. What time will it show 162 minutes later? (a) 12:33 (b) 12:53 (c) 12:43 (d) 1:43
  32. 32.How many degrees does the minute hand of a clock turn in 39 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 137 minutes? =
  35. 35.A clock shows 12:13. What time will it show 16 minutes later? (a) 12:39 (b) 12:29 (c) 1:29 (d) 12:19
  36. 36.How many degrees does the hour hand of a clock turn in 104 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 155 minutes? =

Answer key

  1. 41.5
  2. 63.5
  3. 122
  4. 35
  5. 270
  6. 73
  7. 8:20
  8. 15.5
  9. 186
  10. 11:51
  11. 127.5
  12. 12
  13. 6:05
  14. 1:50
  15. 11:43
  16. 168.5
  17. 123
  18. 158.5
  19. 306
  20. 177.5
  21. 168
  22. 4:44
  23. 153
  24. 10:22
  25. 154.5
  26. 102
  27. 38
  28. 166.5
  29. 173
  30. 1:44
  31. 12:43
  32. 234
  33. 51.5
  34. 68.5
  35. 12:29
  36. 52
  37. 75.5
  38. 85.5
  39. 22.5
  40. 77.5

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