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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 360 · 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 44 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  4. 4.A clock shows 10:04. What time will it show 158 minutes later? (a) 12:32 (b) 1:42 (c) 12:52 (d) 12:42
  5. 5.A clock shows 6:35. What time will it show 121 minutes later? (a) 8:36 (b) 8:26 (c) 8:46 (d) 9:36
  6. 6.A clock shows 11:31. What time will it show 27 minutes later? (a) 12:08 (b) 12:58 (c) 11:58 (d) 11:48
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  11. 11.A clock shows 12:48. What time will it show 139 minutes later? (a) 3:17 (b) 2:57 (c) 4:07 (d) 3:07
  12. 12.How many degrees does the minute hand of a clock turn in 31 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 7 minutes? =
  14. 14.A clock shows 8:01. What time will it show 167 minutes later? (a) 10:38 (b) 10:48 (c) 10:58 (d) 11:48
  15. 15.How many degrees does the hour hand of a clock turn in 27 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 12 minutes? =
  17. 17.A clock shows 7:12. What time will it show 100 minutes later? (a) 8:42 (b) 8:52 (c) 9:02 (d) 9:52
  18. 18.A clock shows 10:28. What time will it show 96 minutes later? (a) 1:04 (b) 12:14 (c) 11:54 (d) 12:04
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  21. 21.A clock shows 8:45. What time will it show 84 minutes later? (a) 11:09 (b) 10:19 (c) 9:59 (d) 10:09
  22. 22.A clock shows 6:59. What time will it show 26 minutes later? (a) 7:25 (b) 8:25 (c) 7:15 (d) 7:35
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  24. 24.A clock shows 9:04. What time will it show 93 minutes later? (a) 10:37 (b) 10:27 (c) 11:37 (d) 10:47
  25. 25.How many degrees does the minute hand of a clock turn in 45 minutes? =
  26. 26.A clock shows 2:41. What time will it show 145 minutes later? (a) 6:06 (b) 5:06 (c) 5:16 (d) 4:56
  27. 27.How many degrees does the hour hand of a clock turn in 68 minutes? =
  28. 28.A clock shows 6:49. What time will it show 25 minutes later? (a) 7:24 (b) 7:04 (c) 8:14 (d) 7:14
  29. 29.A clock shows 3:34. What time will it show 89 minutes later? (a) 5:03 (b) 6:03 (c) 5:13 (d) 4:53
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 53 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 108 minutes? =
  39. 39.A clock shows 5:36. What time will it show 136 minutes later? (a) 7:52 (b) 8:52 (c) 8:02 (d) 7:42
  40. 40.A clock shows 12:14. What time will it show 32 minutes later? (a) 12:56 (b) 1:46 (c) 12:46 (d) 12:36

Answer key

  1. 264
  2. 95
  3. 120.5
  4. 12:42
  5. 8:36
  6. 11:58
  7. 128
  8. 139.5
  9. 48
  10. 8.5
  11. 3:07
  12. 186
  13. 42
  14. 10:48
  15. 13.5
  16. 6
  17. 8:52
  18. 12:04
  19. 18
  20. 45.5
  21. 10:09
  22. 7:25
  23. 97
  24. 10:37
  25. 270
  26. 5:06
  27. 34
  28. 7:14
  29. 5:03
  30. 68.5
  31. 34.5
  32. 60
  33. 40.5
  34. 174
  35. 318
  36. 149
  37. 28.5
  38. 54
  39. 7:52
  40. 12:46

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