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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 550 · 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 29 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 164 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  4. 4.A clock shows 5:25. What time will it show 160 minutes later? (a) 8:05 (b) 9:05 (c) 7:55 (d) 8:15
  5. 5.How many degrees does the hour hand of a clock turn in 160 minutes? =
  6. 6.A clock shows 12:21. What time will it show 92 minutes later? (a) 2:53 (b) 1:43 (c) 1:53 (d) 2:03
  7. 7.How many degrees does the minute hand of a clock turn in 32 minutes? =
  8. 8.A clock shows 7:16. What time will it show 100 minutes later? (a) 8:46 (b) 9:56 (c) 9:06 (d) 8:56
  9. 9.A clock shows 3:03. What time will it show 18 minutes later? (a) 3:31 (b) 3:21 (c) 4:21 (d) 3:11
  10. 10.A clock shows 11:16. What time will it show 27 minutes later? (a) 12:43 (b) 11:43 (c) 11:33 (d) 11:53
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 115 minutes? =
  15. 15.A clock shows 1:35. What time will it show 83 minutes later? (a) 3:58 (b) 2:48 (c) 2:58 (d) 3:08
  16. 16.A clock shows 8:55. What time will it show 19 minutes later? (a) 9:14 (b) 9:24 (c) 10:14 (d) 9:04
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 114 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 23 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 21 minutes? =
  22. 22.A clock shows 6:59. What time will it show 38 minutes later? (a) 7:37 (b) 8:37 (c) 7:27 (d) 7:47
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 51 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 133 minutes? =
  28. 28.A clock shows 1:14. What time will it show 25 minutes later? (a) 1:49 (b) 1:29 (c) 2:39 (d) 1:39
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 42 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  34. 34.A clock shows 1:33. What time will it show 60 minutes later? (a) 2:23 (b) 2:33 (c) 3:33 (d) 2:43
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  38. 38.A clock shows 1:14. What time will it show 108 minutes later? (a) 4:02 (b) 2:52 (c) 3:12 (d) 3:02
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  40. 40.A clock shows 11:54. What time will it show 81 minutes later? (a) 1:05 (b) 1:25 (c) 2:15 (d) 1:15

Answer key

  1. 174
  2. 82
  3. 19.5
  4. 8:05
  5. 80
  6. 1:53
  7. 192
  8. 8:56
  9. 3:21
  10. 11:43
  11. 25.5
  12. 29
  13. 138
  14. 57.5
  15. 2:58
  16. 9:14
  17. 172.5
  18. 8.5
  19. 57
  20. 11.5
  21. 126
  22. 7:37
  23. 145.5
  24. 306
  25. 56.5
  26. 84.5
  27. 66.5
  28. 1:39
  29. 175.5
  30. 252
  31. 71
  32. 47.5
  33. 146
  34. 2:33
  35. 38.5
  36. 67.5
  37. 29.5
  38. 3:02
  39. 66
  40. 1:15

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