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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 553 · 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 11:54? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  3. 3.A clock shows 3:27. What time will it show 60 minutes later? (a) 5:27 (b) 4:17 (c) 4:27 (d) 4:37
  4. 4.How many degrees does the minute hand of a clock turn in 33 minutes? =
  5. 5.A clock shows 1:08. What time will it show 170 minutes later? (a) 3:58 (b) 4:08 (c) 4:58 (d) 3:48
  6. 6.A clock shows 4:38. What time will it show 89 minutes later? (a) 6:17 (b) 7:07 (c) 5:57 (d) 6:07
  7. 7.A clock shows 10:12. What time will it show 91 minutes later? (a) 11:53 (b) 11:33 (c) 12:43 (d) 11:43
  8. 8.A clock shows 8:08. What time will it show 147 minutes later? (a) 11:35 (b) 10:25 (c) 10:45 (d) 10:35
  9. 9.A clock shows 5:20. What time will it show 139 minutes later? (a) 7:49 (b) 7:29 (c) 8:39 (d) 7:39
  10. 10.A clock shows 3:55. What time will it show 132 minutes later? (a) 6:17 (b) 5:57 (c) 7:07 (d) 6:07
  11. 11.How many degrees does the hour hand of a clock turn in 76 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 32 minutes? =
  13. 13.A clock shows 12:28. What time will it show 162 minutes later? (a) 4:10 (b) 3:20 (c) 3:00 (d) 3:10
  14. 14.A clock shows 6:11. What time will it show 128 minutes later? (a) 8:09 (b) 9:19 (c) 8:19 (d) 8:29
  15. 15.How many degrees does the hour hand of a clock turn in 57 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  18. 18.A clock shows 6:53. What time will it show 81 minutes later? (a) 9:14 (b) 8:14 (c) 8:24 (d) 8:04
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  20. 20.A clock shows 10:07. What time will it show 15 minutes later? (a) 10:12 (b) 11:22 (c) 10:32 (d) 10:22
  21. 21.How many degrees does the hour hand of a clock turn in 117 minutes? =
  22. 22.A clock shows 11:30. What time will it show 11 minutes later? (a) 12:41 (b) 11:31 (c) 11:41 (d) 11:51
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 83 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 31 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  27. 27.A clock shows 3:47. What time will it show 70 minutes later? (a) 5:57 (b) 5:07 (c) 4:57 (d) 4:47
  28. 28.How many degrees does the minute hand of a clock turn in 58 minutes? =
  29. 29.A clock shows 5:41. What time will it show 45 minutes later? (a) 6:36 (b) 6:16 (c) 7:26 (d) 6:26
  30. 30.How many degrees does the hour hand of a clock turn in 18 minutes? =
  31. 31.A clock shows 12:13. What time will it show 164 minutes later? (a) 2:57 (b) 2:47 (c) 3:57 (d) 3:07
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 10 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 167 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 41 minutes? =
  40. 40.A clock shows 5:11. What time will it show 43 minutes later? (a) 6:04 (b) 5:44 (c) 5:54 (d) 6:54

Answer key

  1. 33
  2. 163.5
  3. 4:27
  4. 198
  5. 3:58
  6. 6:07
  7. 11:43
  8. 10:35
  9. 7:39
  10. 6:07
  11. 38
  12. 16
  13. 3:10
  14. 8:19
  15. 28.5
  16. 111
  17. 136.5
  18. 8:14
  19. 50
  20. 10:22
  21. 58.5
  22. 11:41
  23. 6.5
  24. 41.5
  25. 15.5
  26. 72
  27. 4:57
  28. 348
  29. 6:26
  30. 9
  31. 2:57
  32. 16
  33. 84.5
  34. 60
  35. 43
  36. 83.5
  37. 64.5
  38. 12.5
  39. 246
  40. 5:54

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