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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 288 · 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.A clock shows 9:55. What time will it show 68 minutes later? (a) 10:53 (b) 11:13 (c) 12:03 (d) 11:03
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  5. 5.A clock shows 5:07. What time will it show 79 minutes later? (a) 6:26 (b) 7:26 (c) 6:16 (d) 6:36
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  9. 9.A clock shows 9:41. What time will it show 158 minutes later? (a) 12:19 (b) 1:19 (c) 12:29 (d) 12:09
  10. 10.A clock shows 7:57. What time will it show 163 minutes later? (a) 10:50 (b) 10:30 (c) 11:40 (d) 10:40
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  12. 12.A clock shows 4:05. What time will it show 69 minutes later? (a) 6:14 (b) 5:04 (c) 5:14 (d) 5:24
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  15. 15.A clock shows 9:32. What time will it show 68 minutes later? (a) 10:40 (b) 11:40 (c) 10:30 (d) 10:50
  16. 16.A clock shows 6:42. What time will it show 56 minutes later? (a) 7:48 (b) 8:38 (c) 7:38 (d) 7:28
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 15 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 163 minutes? =
  23. 23.A clock shows 10:32. What time will it show 147 minutes later? (a) 1:09 (b) 1:59 (c) 12:59 (d) 12:49
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  25. 25.A clock shows 11:27. What time will it show 75 minutes later? (a) 12:52 (b) 12:32 (c) 12:42 (d) 1:42
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 43 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 57 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 23 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 11 minutes? =
  35. 35.A clock shows 9:06. What time will it show 158 minutes later? (a) 11:54 (b) 11:44 (c) 11:34 (d) 12:44
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  37. 37.A clock shows 11:44. What time will it show 20 minutes later? (a) 12:14 (b) 1:04 (c) 12:04 (d) 11:54
  38. 38.A clock shows 2:32. What time will it show 94 minutes later? (a) 5:06 (b) 4:06 (c) 4:16 (d) 3:56
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 3 minutes? =

Answer key

  1. 11:03
  2. 126.5
  3. 30.5
  4. 138
  5. 6:26
  6. 108
  7. 134
  8. 109.5
  9. 12:19
  10. 10:40
  11. 40.5
  12. 5:14
  13. 105.5
  14. 158.5
  15. 10:40
  16. 7:38
  17. 59
  18. 175.5
  19. 111.5
  20. 90
  21. 157.5
  22. 81.5
  23. 12:59
  24. 159
  25. 12:42
  26. 158.5
  27. 50.5
  28. 173.5
  29. 151
  30. 21.5
  31. 128.5
  32. 342
  33. 138
  34. 66
  35. 11:44
  36. 4
  37. 12:04
  38. 4:06
  39. 89
  40. 18

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