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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 641 · 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 160 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 178 minutes? =
  3. 3.A clock shows 2:15. What time will it show 37 minutes later? (a) 2:42 (b) 3:02 (c) 3:52 (d) 2:52
  4. 4.A clock shows 8:11. What time will it show 166 minutes later? (a) 10:57 (b) 10:47 (c) 11:57 (d) 11:07
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
  7. 7.A clock shows 7:28. What time will it show 74 minutes later? (a) 9:42 (b) 8:52 (c) 8:42 (d) 8:32
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  9. 9.A clock shows 9:10. What time will it show 117 minutes later? (a) 10:57 (b) 12:07 (c) 11:07 (d) 11:17
  10. 10.A clock shows 8:46. What time will it show 72 minutes later? (a) 10:58 (b) 9:58 (c) 10:08 (d) 9:48
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 39 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 25 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 140 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 59 minutes? =
  22. 22.A clock shows 12:05. What time will it show 111 minutes later? (a) 1:56 (b) 2:06 (c) 2:56 (d) 1:46
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 41 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 78 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 104 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 57 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 9 minutes? =
  36. 36.A clock shows 3:47. What time will it show 70 minutes later? (a) 5:07 (b) 4:47 (c) 5:57 (d) 4:57
  37. 37.A clock shows 6:00. What time will it show 37 minutes later? (a) 7:37 (b) 6:37 (c) 6:47 (d) 6:27
  38. 38.A clock shows 8:13. What time will it show 37 minutes later? (a) 9:00 (b) 9:50 (c) 8:40 (d) 8:50
  39. 39.How many degrees does the minute hand of a clock turn in 27 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =

Answer key

  1. 80
  2. 89
  3. 2:52
  4. 10:57
  5. 85.5
  6. 216
  7. 8:42
  8. 89.5
  9. 11:07
  10. 9:58
  11. 2.5
  12. 91.5
  13. 150.5
  14. 234
  15. 150
  16. 63
  17. 157
  18. 179
  19. 70
  20. 93
  21. 354
  22. 1:56
  23. 11.5
  24. 21.5
  25. 246
  26. 23.5
  27. 39
  28. 18
  29. 102
  30. 61
  31. 52
  32. 51.5
  33. 64
  34. 28.5
  35. 54
  36. 4:57
  37. 6:37
  38. 8:50
  39. 162
  40. 116

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