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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 699 · 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 hour hand of a clock turn in 55 minutes? =
  2. 2.A clock shows 3:26. What time will it show 45 minutes later? (a) 4:01 (b) 5:11 (c) 4:11 (d) 4:21
  3. 3.A clock shows 6:29. What time will it show 113 minutes later? (a) 8:22 (b) 9:22 (c) 8:32 (d) 8:12
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 27 minutes? =
  6. 6.A clock shows 3:35. What time will it show 83 minutes later? (a) 4:48 (b) 5:08 (c) 4:58 (d) 5:58
  7. 7.A clock shows 7:39. What time will it show 13 minutes later? (a) 8:02 (b) 7:52 (c) 8:52 (d) 7:42
  8. 8.A clock shows 4:46. What time will it show 36 minutes later? (a) 5:12 (b) 5:32 (c) 5:22 (d) 6:22
  9. 9.A clock shows 6:03. What time will it show 140 minutes later? (a) 8:13 (b) 9:23 (c) 8:33 (d) 8:23
  10. 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  12. 12.A clock shows 8:54. What time will it show 49 minutes later? (a) 9:53 (b) 9:43 (c) 9:33 (d) 10:43
  13. 13.A clock shows 10:48. What time will it show 58 minutes later? (a) 11:46 (b) 11:56 (c) 11:36 (d) 12:46
  14. 14.How many degrees does the minute hand of a clock turn in 40 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 49 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  19. 19.A clock shows 2:03. What time will it show 96 minutes later? (a) 3:29 (b) 4:39 (c) 3:39 (d) 3:49
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 52 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 46 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  26. 26.A clock shows 1:05. What time will it show 113 minutes later? (a) 2:58 (b) 2:48 (c) 3:58 (d) 3:08
  27. 27.How many degrees does the hour hand of a clock turn in 61 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 16 minutes? =
  29. 29.A clock shows 1:53. What time will it show 120 minutes later? (a) 4:03 (b) 3:43 (c) 4:53 (d) 3:53
  30. 30.A clock shows 12:30. What time will it show 33 minutes later? (a) 1:03 (b) 1:13 (c) 2:03 (d) 12:53
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  32. 32.A clock shows 4:28. What time will it show 89 minutes later? (a) 5:57 (b) 5:47 (c) 6:57 (d) 6:07
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 20 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  38. 38.A clock shows 11:40. What time will it show 159 minutes later? (a) 3:19 (b) 2:09 (c) 2:29 (d) 2:19
  39. 39.How many degrees does the hour hand of a clock turn in 123 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =

Answer key

  1. 27.5
  2. 4:11
  3. 8:22
  4. 99
  5. 162
  6. 4:58
  7. 7:52
  8. 5:22
  9. 8:23
  10. 66
  11. 43.5
  12. 9:43
  13. 11:46
  14. 240
  15. 164
  16. 120.5
  17. 24.5
  18. 22
  19. 3:39
  20. 120.5
  21. 135.5
  22. 58
  23. 312
  24. 276
  25. 71.5
  26. 2:58
  27. 30.5
  28. 96
  29. 3:53
  30. 1:03
  31. 158.5
  32. 5:57
  33. 174.5
  34. 120
  35. 204
  36. 160
  37. 139.5
  38. 2:19
  39. 61.5
  40. 38

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