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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 280 · 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 4:58. What time will it show 102 minutes later? (a) 6:40 (b) 6:50 (c) 6:30 (d) 7:40
  2. 2.A clock shows 12:05. What time will it show 26 minutes later? (a) 12:31 (b) 1:31 (c) 12:41 (d) 12:21
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  8. 8.A clock shows 8:35. What time will it show 122 minutes later? (a) 10:37 (b) 10:27 (c) 10:47 (d) 11:37
  9. 9.How many degrees does the hour hand of a clock turn in 115 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 46 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 45 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 92 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 22 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 25 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 173 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 41 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 84 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 31 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 13 minutes? =
  30. 30.A clock shows 8:43. What time will it show 122 minutes later? (a) 10:55 (b) 11:45 (c) 10:35 (d) 10:45
  31. 31.A clock shows 7:32. What time will it show 99 minutes later? (a) 10:11 (b) 9:11 (c) 9:21 (d) 9:01
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 27 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 42 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 9 minutes? =
  37. 37.A clock shows 3:07. What time will it show 65 minutes later? (a) 5:12 (b) 4:12 (c) 4:02 (d) 4:22
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  39. 39.A clock shows 12:22. What time will it show 157 minutes later? (a) 3:09 (b) 2:49 (c) 2:59 (d) 3:59
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =

Answer key

  1. 6:40
  2. 12:31
  3. 179
  4. 79.5
  5. 170
  6. 106
  7. 39
  8. 10:37
  9. 57.5
  10. 104
  11. 121.5
  12. 23
  13. 270
  14. 46
  15. 132
  16. 12.5
  17. 78
  18. 86.5
  19. 20.5
  20. 179
  21. 312
  22. 103.5
  23. 42
  24. 282
  25. 41
  26. 21.5
  27. 149
  28. 186
  29. 6.5
  30. 10:45
  31. 9:11
  32. 73
  33. 162
  34. 126
  35. 21
  36. 54
  37. 4:12
  38. 154.5
  39. 2:59
  40. 156

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