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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 506 · 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.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  2. 2.A clock shows 8:23. What time will it show 44 minutes later? (a) 9:07 (b) 9:17 (c) 8:57 (d) 10:07
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 27 minutes? =
  5. 5.A clock shows 8:33. What time will it show 19 minutes later? (a) 9:02 (b) 9:52 (c) 8:52 (d) 8:42
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  8. 8.A clock shows 2:44. What time will it show 68 minutes later? (a) 3:42 (b) 4:52 (c) 3:52 (d) 4:02
  9. 9.A clock shows 12:47. What time will it show 157 minutes later? (a) 3:24 (b) 4:24 (c) 3:14 (d) 3:34
  10. 10.How many degrees does the hour hand of a clock turn in 144 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  12. 12.A clock shows 5:06. What time will it show 16 minutes later? (a) 5:12 (b) 5:22 (c) 5:32 (d) 6:22
  13. 13.How many degrees does the hour hand of a clock turn in 168 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  15. 15.A clock shows 7:53. What time will it show 12 minutes later? (a) 8:15 (b) 7:55 (c) 9:05 (d) 8:05
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 152 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  19. 19.A clock shows 5:50. What time will it show 138 minutes later? (a) 9:08 (b) 7:58 (c) 8:18 (d) 8:08
  20. 20.A clock shows 11:19. What time will it show 119 minutes later? (a) 2:18 (b) 1:18 (c) 1:28 (d) 1:08
  21. 21.A clock shows 6:03. What time will it show 106 minutes later? (a) 7:49 (b) 7:59 (c) 7:39 (d) 8:49
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 60 minutes? =
  24. 24.A clock shows 4:04. What time will it show 96 minutes later? (a) 5:40 (b) 5:30 (c) 6:40 (d) 5:50
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 43 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  28. 28.A clock shows 3:09. What time will it show 28 minutes later? (a) 4:37 (b) 3:47 (c) 3:37 (d) 3:27
  29. 29.A clock shows 9:12. What time will it show 157 minutes later? (a) 12:49 (b) 11:59 (c) 11:49 (d) 11:39
  30. 30.How many degrees does the minute hand of a clock turn in 13 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  32. 32.A clock shows 12:00. What time will it show 47 minutes later? (a) 1:47 (b) 12:47 (c) 12:37 (d) 12:57
  33. 33.How many degrees does the minute hand of a clock turn in 16 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 40 minutes? =
  36. 36.A clock shows 11:06. What time will it show 58 minutes later? (a) 12:14 (b) 12:04 (c) 1:04 (d) 11:54
  37. 37.A clock shows 7:02. What time will it show 134 minutes later? (a) 10:16 (b) 9:26 (c) 9:16 (d) 9:06
  38. 38.A clock shows 6:49. What time will it show 114 minutes later? (a) 8:33 (b) 8:43 (c) 8:53 (d) 9:43
  39. 39.How many degrees does the hour hand of a clock turn in 95 minutes? =
  40. 40.A clock shows 6:17. What time will it show 89 minutes later? (a) 7:56 (b) 8:46 (c) 7:46 (d) 7:36

Answer key

  1. 140
  2. 9:07
  3. 100.5
  4. 162
  5. 8:52
  6. 144
  7. 134.5
  8. 3:52
  9. 3:24
  10. 72
  11. 31
  12. 5:22
  13. 84
  14. 107
  15. 8:05
  16. 131.5
  17. 76
  18. 84.5
  19. 8:08
  20. 1:18
  21. 7:49
  22. 62
  23. 30
  24. 5:40
  25. 51.5
  26. 258
  27. 147.5
  28. 3:37
  29. 11:49
  30. 78
  31. 39
  32. 12:47
  33. 96
  34. 32.5
  35. 240
  36. 12:04
  37. 9:16
  38. 8:43
  39. 47.5
  40. 7:46

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