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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 137 · 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.A clock shows 6:00. What time will it show 117 minutes later? (a) 7:57 (b) 8:07 (c) 7:47 (d) 8:57
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  3. 3.A clock shows 2:49. What time will it show 27 minutes later? (a) 3:16 (b) 3:06 (c) 4:16 (d) 3:26
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  5. 5.A clock shows 5:31. What time will it show 91 minutes later? (a) 7:12 (b) 7:02 (c) 6:52 (d) 8:02
  6. 6.A clock shows 12:58. What time will it show 13 minutes later? (a) 1:21 (b) 2:11 (c) 1:01 (d) 1:11
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 57 minutes? =
  9. 9.A clock shows 8:36. What time will it show 137 minutes later? (a) 10:43 (b) 11:03 (c) 11:53 (d) 10:53
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  11. 11.A clock shows 5:04. What time will it show 46 minutes later? (a) 5:40 (b) 6:50 (c) 6:00 (d) 5:50
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 61 minutes? =
  14. 14.A clock shows 8:15. What time will it show 126 minutes later? (a) 10:31 (b) 10:11 (c) 10:21 (d) 11:21
  15. 15.A clock shows 1:20. What time will it show 71 minutes later? (a) 2:31 (b) 2:21 (c) 3:31 (d) 2:41
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 112 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  20. 20.A clock shows 8:58. What time will it show 61 minutes later? (a) 10:59 (b) 9:59 (c) 9:49 (d) 10:09
  21. 21.A clock shows 7:53. What time will it show 99 minutes later? (a) 9:22 (b) 9:42 (c) 10:32 (d) 9:32
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  23. 23.A clock shows 7:12. What time will it show 119 minutes later? (a) 9:11 (b) 9:01 (c) 9:21 (d) 10:11
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 19 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 47 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 106 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 25 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  32. 32.A clock shows 8:08. What time will it show 149 minutes later? (a) 10:27 (b) 10:47 (c) 10:37 (d) 11:37
  33. 33.How many degrees does the minute hand of a clock turn in 35 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  35. 35.A clock shows 11:10. What time will it show 157 minutes later? (a) 1:37 (b) 1:57 (c) 2:47 (d) 1:47
  36. 36.How many degrees does the minute hand of a clock turn in 7 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
  38. 38.A clock shows 4:14. What time will it show 54 minutes later? (a) 4:58 (b) 5:18 (c) 6:08 (d) 5:08
  39. 39.How many degrees does the minute hand of a clock turn in 4 minutes? =
  40. 40.A clock shows 6:06. What time will it show 158 minutes later? (a) 8:34 (b) 9:44 (c) 8:54 (d) 8:44

Answer key

  1. 7:57
  2. 10
  3. 3:16
  4. 122.5
  5. 7:02
  6. 1:11
  7. 7.5
  8. 342
  9. 10:53
  10. 22
  11. 5:50
  12. 118
  13. 30.5
  14. 10:21
  15. 2:31
  16. 73
  17. 20.5
  18. 56
  19. 139.5
  20. 9:59
  21. 9:32
  22. 169.5
  23. 9:11
  24. 176.5
  25. 9.5
  26. 282
  27. 177.5
  28. 53
  29. 12.5
  30. 33.5
  31. 169
  32. 10:37
  33. 210
  34. 75
  35. 1:47
  36. 42
  37. 96
  38. 5:08
  39. 24
  40. 8:44

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