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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 527 · 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 11:22? (in degrees) =
  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 minute hand of a clock turn in 57 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 46 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 23 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 19 minutes? =
  9. 9.A clock shows 12:36. What time will it show 108 minutes later? (a) 3:24 (b) 2:14 (c) 2:34 (d) 2:24
  10. 10.How many degrees does the minute hand of a clock turn in 2 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 133 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 5 minutes? =
  16. 16.A clock shows 6:21. What time will it show 123 minutes later? (a) 8:14 (b) 8:24 (c) 8:34 (d) 9:24
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  19. 19.A clock shows 9:05. What time will it show 127 minutes later? (a) 11:22 (b) 11:02 (c) 12:12 (d) 11:12
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  21. 21.A clock shows 2:04. What time will it show 29 minutes later? (a) 3:33 (b) 2:33 (c) 2:43 (d) 2:23
  22. 22.How many degrees does the minute hand of a clock turn in 42 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  25. 25.A clock shows 2:34. What time will it show 141 minutes later? (a) 5:05 (b) 5:55 (c) 4:55 (d) 4:45
  26. 26.How many degrees does the hour hand of a clock turn in 70 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 130 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 28 minutes? =
  30. 30.A clock shows 9:31. What time will it show 35 minutes later? (a) 10:16 (b) 11:06 (c) 10:06 (d) 9:56
  31. 31.How many degrees does the minute hand of a clock turn in 4 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 94 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 11 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  37. 37.A clock shows 4:56. What time will it show 111 minutes later? (a) 6:47 (b) 6:57 (c) 6:37 (d) 7:47
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =

Answer key

  1. 151
  2. 59.5
  3. 342
  4. 276
  5. 138
  6. 33
  7. 1.5
  8. 9.5
  9. 2:24
  10. 12
  11. 114
  12. 66.5
  13. 27
  14. 166
  15. 30
  16. 8:24
  17. 61.5
  18. 73.5
  19. 11:12
  20. 98.5
  21. 2:33
  22. 252
  23. 95
  24. 36.5
  25. 4:55
  26. 35
  27. 65
  28. 142
  29. 168
  30. 10:06
  31. 24
  32. 47
  33. 155
  34. 80.5
  35. 66
  36. 113.5
  37. 6:47
  38. 42.5
  39. 20.5
  40. 97

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