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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 373 · 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 10:43? (in degrees) =
  2. 2.A clock shows 10:28. What time will it show 98 minutes later? (a) 12:16 (b) 1:06 (c) 12:06 (d) 11:56
  3. 3.How many degrees does the minute hand of a clock turn in 18 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 172 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 127 minutes? =
  7. 7.A clock shows 10:39. What time will it show 66 minutes later? (a) 11:55 (b) 11:35 (c) 12:45 (d) 11:45
  8. 8.How many degrees does the minute hand of a clock turn in 32 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  10. 10.A clock shows 2:32. What time will it show 104 minutes later? (a) 5:16 (b) 4:16 (c) 4:06 (d) 4:26
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  12. 12.A clock shows 1:59. What time will it show 125 minutes later? (a) 4:14 (b) 4:04 (c) 3:54 (d) 5:04
  13. 13.How many degrees does the hour hand of a clock turn in 85 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  16. 16.A clock shows 2:44. What time will it show 166 minutes later? (a) 5:40 (b) 5:20 (c) 6:30 (d) 5:30
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  19. 19.A clock shows 4:56. What time will it show 22 minutes later? (a) 5:28 (b) 5:08 (c) 6:18 (d) 5:18
  20. 20.A clock shows 1:54. What time will it show 163 minutes later? (a) 4:47 (b) 4:27 (c) 5:37 (d) 4:37
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  24. 24.A clock shows 6:22. What time will it show 168 minutes later? (a) 9:20 (b) 9:00 (c) 10:10 (d) 9:10
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:44? (in degrees) =
  28. 28.A clock shows 11:35. What time will it show 132 minutes later? (a) 1:57 (b) 1:37 (c) 1:47 (d) 2:47
  29. 29.A clock shows 8:20. What time will it show 127 minutes later? (a) 10:37 (b) 10:27 (c) 11:27 (d) 10:17
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 19 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 56 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  34. 34.A clock shows 2:59. What time will it show 22 minutes later? (a) 4:21 (b) 3:11 (c) 3:31 (d) 3:21
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 94 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =

Answer key

  1. 63.5
  2. 12:06
  3. 108
  4. 94.5
  5. 86
  6. 63.5
  7. 11:45
  8. 192
  9. 51.5
  10. 4:16
  11. 94
  12. 4:04
  13. 42.5
  14. 55
  15. 7.5
  16. 5:30
  17. 69.5
  18. 102
  19. 5:18
  20. 4:37
  21. 40
  22. 61.5
  23. 77.5
  24. 9:10
  25. 133.5
  26. 166
  27. 62
  28. 1:47
  29. 10:27
  30. 144.5
  31. 9.5
  32. 28
  33. 39
  34. 3:21
  35. 135.5
  36. 131
  37. 47
  38. 81
  39. 133
  40. 49.5

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