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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 520 · 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 16 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 94 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  6. 6.A clock shows 5:23. What time will it show 134 minutes later? (a) 7:27 (b) 7:37 (c) 8:37 (d) 7:47
  7. 7.How many degrees does the minute hand of a clock turn in 44 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 52 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 52 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 53 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  13. 13.A clock shows 12:11. What time will it show 126 minutes later? (a) 2:27 (b) 2:07 (c) 3:17 (d) 2:17
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  15. 15.A clock shows 5:06. What time will it show 117 minutes later? (a) 6:53 (b) 7:13 (c) 7:03 (d) 8:03
  16. 16.How many degrees does the minute hand of a clock turn in 48 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 57 minutes? =
  19. 19.A clock shows 9:05. What time will it show 156 minutes later? (a) 11:41 (b) 12:41 (c) 11:51 (d) 11:31
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  21. 21.A clock shows 8:55. What time will it show 138 minutes later? (a) 11:03 (b) 12:13 (c) 11:13 (d) 11:23
  22. 22.How many degrees does the minute hand of a clock turn in 12 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 29 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 21 minutes? =
  27. 27.A clock shows 10:34. What time will it show 56 minutes later? (a) 12:30 (b) 11:30 (c) 11:20 (d) 11:40
  28. 28.How many degrees does the hour hand of a clock turn in 157 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  30. 30.A clock shows 1:14. What time will it show 22 minutes later? (a) 1:46 (b) 1:26 (c) 1:36 (d) 2:36
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  33. 33.A clock shows 8:59. What time will it show 110 minutes later? (a) 11:49 (b) 10:59 (c) 10:39 (d) 10:49
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  35. 35.A clock shows 10:04. What time will it show 38 minutes later? (a) 10:42 (b) 11:42 (c) 10:32 (d) 10:52
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 166 minutes? =
  38. 38.A clock shows 3:31. What time will it show 92 minutes later? (a) 5:03 (b) 4:53 (c) 6:03 (d) 5:13
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =

Answer key

  1. 96
  2. 47.5
  3. 47
  4. 151.5
  5. 129
  6. 7:37
  7. 264
  8. 68
  9. 26
  10. 312
  11. 318
  12. 78.5
  13. 2:17
  14. 148.5
  15. 7:03
  16. 288
  17. 145
  18. 342
  19. 11:41
  20. 17.5
  21. 11:13
  22. 72
  23. 10.5
  24. 153
  25. 14.5
  26. 126
  27. 11:30
  28. 78.5
  29. 54.5
  30. 1:36
  31. 153.5
  32. 162
  33. 10:49
  34. 6
  35. 10:42
  36. 175
  37. 83
  38. 5:03
  39. 8.5
  40. 106.5

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