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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 792 · 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 5:37. What time will it show 82 minutes later? (a) 7:09 (b) 7:59 (c) 6:59 (d) 6:49
  2. 2.How many degrees does the hour hand of a clock turn in 53 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 21 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 20 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  10. 10.A clock shows 6:06. What time will it show 55 minutes later? (a) 7:01 (b) 8:01 (c) 7:11 (d) 6:51
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 139 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 45 minutes? =
  14. 14.A clock shows 2:51. What time will it show 127 minutes later? (a) 4:48 (b) 5:58 (c) 4:58 (d) 5:08
  15. 15.How many degrees does the minute hand of a clock turn in 36 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 15 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  20. 20.A clock shows 9:38. What time will it show 87 minutes later? (a) 11:15 (b) 11:05 (c) 10:55 (d) 12:05
  21. 21.How many degrees does the hour hand of a clock turn in 26 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 13 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  25. 25.A clock shows 12:22. What time will it show 15 minutes later? (a) 12:27 (b) 12:47 (c) 12:37 (d) 1:37
  26. 26.A clock shows 12:24. What time will it show 53 minutes later? (a) 1:27 (b) 1:17 (c) 2:17 (d) 1:07
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 46 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 64 minutes? =
  30. 30.A clock shows 2:44. What time will it show 86 minutes later? (a) 4:20 (b) 5:10 (c) 4:10 (d) 4:00
  31. 31.How many degrees does the minute hand of a clock turn in 57 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 8 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 7 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 156 minutes? =
  37. 37.A clock shows 4:13. What time will it show 128 minutes later? (a) 6:31 (b) 6:11 (c) 7:21 (d) 6:21
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 109 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =

Answer key

  1. 6:59
  2. 26.5
  3. 105
  4. 62.5
  5. 1.5
  6. 126
  7. 92
  8. 120
  9. 135.5
  10. 7:01
  11. 63.5
  12. 69.5
  13. 270
  14. 4:58
  15. 216
  16. 90
  17. 78.5
  18. 102
  19. 50.5
  20. 11:05
  21. 13
  22. 78
  23. 159
  24. 3
  25. 12:37
  26. 1:17
  27. 3.5
  28. 23
  29. 32
  30. 4:10
  31. 342
  32. 48
  33. 42
  34. 78.5
  35. 101.5
  36. 78
  37. 6:21
  38. 93
  39. 54.5
  40. 33.5

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