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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 36 · 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 36 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 93 minutes? =
  4. 4.A clock shows 5:20. What time will it show 136 minutes later? (a) 8:36 (b) 7:36 (c) 7:26 (d) 7:46
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 47 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  8. 8.A clock shows 4:37. What time will it show 117 minutes later? (a) 6:34 (b) 6:24 (c) 7:34 (d) 6:44
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 122 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 24 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 127 minutes? =
  14. 14.A clock shows 1:29. What time will it show 130 minutes later? (a) 3:39 (b) 3:29 (c) 4:39 (d) 3:49
  15. 15.A clock shows 1:50. What time will it show 84 minutes later? (a) 3:04 (b) 3:14 (c) 3:24 (d) 4:14
  16. 16.How many degrees does the minute hand of a clock turn in 27 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  18. 18.A clock shows 10:41. What time will it show 151 minutes later? (a) 1:12 (b) 1:22 (c) 1:02 (d) 2:12
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 44 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 17 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 61 minutes? =
  27. 27.A clock shows 12:37. What time will it show 81 minutes later? (a) 1:58 (b) 2:08 (c) 2:58 (d) 1:48
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  29. 29.A clock shows 3:11. What time will it show 55 minutes later? (a) 5:06 (b) 4:16 (c) 3:56 (d) 4:06
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 62 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  37. 37.A clock shows 10:21. What time will it show 49 minutes later? (a) 12:10 (b) 11:20 (c) 11:00 (d) 11:10
  38. 38.A clock shows 1:29. What time will it show 63 minutes later? (a) 2:42 (b) 2:22 (c) 2:32 (d) 3:32
  39. 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =

Answer key

  1. 216
  2. 59.5
  3. 46.5
  4. 7:36
  5. 176
  6. 23.5
  7. 82.5
  8. 6:34
  9. 153.5
  10. 103.5
  11. 61
  12. 144
  13. 63.5
  14. 3:39
  15. 3:14
  16. 162
  17. 145
  18. 1:12
  19. 168.5
  20. 264
  21. 98
  22. 28.5
  23. 102
  24. 38
  25. 16.5
  26. 30.5
  27. 1:58
  28. 97.5
  29. 4:06
  30. 131
  31. 31
  32. 11.5
  33. 85
  34. 93.5
  35. 31
  36. 66.5
  37. 11:10
  38. 2:32
  39. 198
  40. 54

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