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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 32 · 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 hour hand of a clock turn in 49 minutes? =
  2. 2.A clock shows 7:32. What time will it show 53 minutes later? (a) 8:35 (b) 9:25 (c) 8:15 (d) 8:25
  3. 3.How many degrees does the minute hand of a clock turn in 57 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 92 minutes? =
  6. 6.A clock shows 6:59. What time will it show 13 minutes later? (a) 7:02 (b) 7:22 (c) 8:12 (d) 7:12
  7. 7.How many degrees does the minute hand of a clock turn in 40 minutes? =
  8. 8.A clock shows 10:18. What time will it show 71 minutes later? (a) 11:19 (b) 12:29 (c) 11:29 (d) 11:39
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  10. 10.A clock shows 6:20. What time will it show 42 minutes later? (a) 7:02 (b) 8:02 (c) 7:12 (d) 6:52
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  13. 13.A clock shows 4:20. What time will it show 159 minutes later? (a) 7:59 (b) 6:49 (c) 6:59 (d) 7:09
  14. 14.How many degrees does the hour hand of a clock turn in 164 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 27 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 4 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 68 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 28 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 37 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 6 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 53 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 56 minutes? =
  24. 24.A clock shows 5:05. What time will it show 158 minutes later? (a) 7:43 (b) 8:43 (c) 7:33 (d) 7:53
  25. 25.How many degrees does the hour hand of a clock turn in 62 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 18 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 25 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 42 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 54 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =

Answer key

  1. 24.5
  2. 8:25
  3. 342
  4. 131
  5. 46
  6. 7:12
  7. 240
  8. 11:29
  9. 59
  10. 7:02
  11. 112.5
  12. 55.5
  13. 6:59
  14. 82
  15. 162
  16. 122.5
  17. 24
  18. 34
  19. 168
  20. 18.5
  21. 36
  22. 318
  23. 28
  24. 7:43
  25. 31
  26. 72.5
  27. 111
  28. 108
  29. 76
  30. 137
  31. 115
  32. 150
  33. 252
  34. 32
  35. 133
  36. 27
  37. 46.5
  38. 167.5
  39. 6
  40. 156.5

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