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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 164 · 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 37 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  3. 3.A clock shows 8:52. What time will it show 144 minutes later? (a) 11:26 (b) 11:16 (c) 11:06 (d) 12:16
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 25 minutes? =
  7. 7.A clock shows 5:08. What time will it show 165 minutes later? (a) 8:53 (b) 8:03 (c) 7:43 (d) 7:53
  8. 8.How many degrees does the minute hand of a clock turn in 33 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 29 minutes? =
  11. 11.A clock shows 1:50. What time will it show 145 minutes later? (a) 4:25 (b) 4:15 (c) 5:15 (d) 4:05
  12. 12.How many degrees does the minute hand of a clock turn in 52 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 22 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 10 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  17. 17.A clock shows 3:53. What time will it show 98 minutes later? (a) 6:31 (b) 5:41 (c) 5:31 (d) 5:21
  18. 18.A clock shows 8:01. What time will it show 161 minutes later? (a) 10:42 (b) 10:32 (c) 11:42 (d) 10:52
  19. 19.A clock shows 6:47. What time will it show 41 minutes later? (a) 7:38 (b) 7:18 (c) 7:28 (d) 8:28
  20. 20.How many degrees does the hour hand of a clock turn in 99 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 5 minutes? =
  22. 22.A clock shows 7:58. What time will it show 43 minutes later? (a) 9:41 (b) 8:51 (c) 8:31 (d) 8:41
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 36 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  28. 28.A clock shows 10:33. What time will it show 31 minutes later? (a) 10:54 (b) 12:04 (c) 11:14 (d) 11:04
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  30. 30.A clock shows 9:31. What time will it show 30 minutes later? (a) 9:51 (b) 10:01 (c) 11:01 (d) 10:11
  31. 31.How many degrees does the hour hand of a clock turn in 45 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  38. 38.A clock shows 3:05. What time will it show 35 minutes later? (a) 4:40 (b) 3:50 (c) 3:30 (d) 3:40
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =

Answer key

  1. 222
  2. 108
  3. 11:16
  4. 72
  5. 166.5
  6. 150
  7. 7:53
  8. 198
  9. 143.5
  10. 174
  11. 4:15
  12. 312
  13. 41
  14. 132
  15. 60
  16. 66
  17. 5:31
  18. 10:42
  19. 7:28
  20. 49.5
  21. 30
  22. 8:41
  23. 46.5
  24. 99
  25. 18
  26. 64.5
  27. 107.5
  28. 11:04
  29. 121.5
  30. 10:01
  31. 22.5
  32. 28
  33. 67.5
  34. 82
  35. 139
  36. 47
  37. 171.5
  38. 3:40
  39. 169
  40. 127.5

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