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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 337 · 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 12:39. What time will it show 122 minutes later? (a) 2:41 (b) 2:31 (c) 2:51 (d) 3:41
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 55 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 55 minutes? =
  5. 5.A clock shows 4:07. What time will it show 170 minutes later? (a) 7:57 (b) 6:57 (c) 7:07 (d) 6:47
  6. 6.How many degrees does the minute hand of a clock turn in 22 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  8. 8.A clock shows 2:02. What time will it show 166 minutes later? (a) 4:58 (b) 4:48 (c) 4:38 (d) 5:48
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  10. 10.A clock shows 8:32. What time will it show 143 minutes later? (a) 10:45 (b) 11:05 (c) 11:55 (d) 10:55
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  13. 13.A clock shows 8:51. What time will it show 79 minutes later? (a) 10:20 (b) 11:10 (c) 10:00 (d) 10:10
  14. 14.How many degrees does the minute hand of a clock turn in 45 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 6 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  18. 18.A clock shows 9:10. What time will it show 170 minutes later? (a) 1:00 (b) 11:50 (c) 12:00 (d) 12:10
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 33 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 122 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 9 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 93 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 8 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 28 minutes? =
  29. 29.A clock shows 12:03. What time will it show 33 minutes later? (a) 1:36 (b) 12:26 (c) 12:36 (d) 12:46
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  32. 32.A clock shows 11:42. What time will it show 159 minutes later? (a) 3:21 (b) 2:21 (c) 2:31 (d) 2:11
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  35. 35.A clock shows 7:17. What time will it show 85 minutes later? (a) 8:42 (b) 8:52 (c) 9:42 (d) 8:32
  36. 36.A clock shows 1:46. What time will it show 105 minutes later? (a) 3:41 (b) 3:31 (c) 3:21 (d) 4:31
  37. 37.A clock shows 9:35. What time will it show 105 minutes later? (a) 11:10 (b) 11:30 (c) 12:20 (d) 11:20
  38. 38.A clock shows 6:29. What time will it show 104 minutes later? (a) 8:23 (b) 8:03 (c) 9:13 (d) 8:13
  39. 39.A clock shows 11:17. What time will it show 91 minutes later? (a) 12:38 (b) 1:48 (c) 12:58 (d) 12:48
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =

Answer key

  1. 2:41
  2. 41.5
  3. 27.5
  4. 330
  5. 6:57
  6. 132
  7. 89
  8. 4:48
  9. 35.5
  10. 10:55
  11. 134
  12. 92.5
  13. 10:10
  14. 270
  15. 36
  16. 51.5
  17. 116.5
  18. 12:00
  19. 15.5
  20. 16.5
  21. 61
  22. 145
  23. 150.5
  24. 54
  25. 46.5
  26. 48
  27. 148.5
  28. 14
  29. 12:36
  30. 104
  31. 83
  32. 2:21
  33. 153
  34. 63
  35. 8:42
  36. 3:31
  37. 11:20
  38. 8:13
  39. 12:48
  40. 5.5

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