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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 139 · 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 2:27. What time will it show 127 minutes later? (a) 4:44 (b) 4:24 (c) 5:34 (d) 4:34
  2. 2.A clock shows 5:34. What time will it show 78 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02
  3. 3.A clock shows 9:33. What time will it show 106 minutes later? (a) 11:29 (b) 11:19 (c) 12:19 (d) 11:09
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  6. 6.A clock shows 1:33. What time will it show 145 minutes later? (a) 4:58 (b) 3:48 (c) 3:58 (d) 4:08
  7. 7.How many degrees does the minute hand of a clock turn in 54 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 23 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 46 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
  17. 17.A clock shows 6:15. What time will it show 37 minutes later? (a) 7:02 (b) 7:52 (c) 6:42 (d) 6:52
  18. 18.How many degrees does the hour hand of a clock turn in 77 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 19 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 5 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 141 minutes? =
  23. 23.A clock shows 2:11. What time will it show 164 minutes later? (a) 5:55 (b) 5:05 (c) 4:55 (d) 4:45
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  28. 28.A clock shows 7:07. What time will it show 140 minutes later? (a) 10:27 (b) 9:37 (c) 9:27 (d) 9:17
  29. 29.A clock shows 7:46. What time will it show 138 minutes later? (a) 10:04 (b) 11:04 (c) 9:54 (d) 10:14
  30. 30.How many degrees does the hour hand of a clock turn in 21 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  32. 32.A clock shows 7:39. What time will it show 58 minutes later? (a) 8:27 (b) 8:47 (c) 9:37 (d) 8:37
  33. 33.A clock shows 3:55. What time will it show 101 minutes later? (a) 5:36 (b) 5:26 (c) 6:36 (d) 5:46
  34. 34.A clock shows 11:22. What time will it show 78 minutes later? (a) 1:40 (b) 12:50 (c) 12:30 (d) 12:40
  35. 35.A clock shows 6:51. What time will it show 68 minutes later? (a) 7:49 (b) 8:59 (c) 8:09 (d) 7:59
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 170 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =

Answer key

  1. 4:34
  2. 6:52
  3. 11:19
  4. 175
  5. 122
  6. 3:58
  7. 324
  8. 29.5
  9. 141.5
  10. 138
  11. 126
  12. 88.5
  13. 276
  14. 136.5
  15. 151.5
  16. 42
  17. 6:52
  18. 38.5
  19. 114
  20. 30
  21. 178
  22. 70.5
  23. 4:55
  24. 109.5
  25. 172
  26. 21
  27. 66
  28. 9:27
  29. 10:04
  30. 10.5
  31. 74
  32. 8:37
  33. 5:36
  34. 12:40
  35. 7:59
  36. 51
  37. 85
  38. 54
  39. 9
  40. 116.5

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