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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 705 · 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 47 minutes? =
  2. 2.A clock shows 9:33. What time will it show 41 minutes later? (a) 10:04 (b) 10:24 (c) 10:14 (d) 11:14
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  6. 6.A clock shows 10:57. What time will it show 84 minutes later? (a) 12:21 (b) 12:31 (c) 1:21 (d) 12:11
  7. 7.How many degrees does the minute hand of a clock turn in 13 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 45 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 132 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 52 minutes? =
  12. 12.A clock shows 3:07. What time will it show 131 minutes later? (a) 6:18 (b) 5:18 (c) 5:28 (d) 5:08
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  14. 14.A clock shows 2:59. What time will it show 28 minutes later? (a) 3:17 (b) 4:27 (c) 3:27 (d) 3:37
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  17. 17.A clock shows 10:56. What time will it show 132 minutes later? (a) 1:18 (b) 2:08 (c) 12:58 (d) 1:08
  18. 18.A clock shows 3:45. What time will it show 42 minutes later? (a) 4:17 (b) 4:37 (c) 4:27 (d) 5:27
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 18 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 8 minutes? =
  22. 22.A clock shows 5:29. What time will it show 75 minutes later? (a) 6:34 (b) 7:44 (c) 6:44 (d) 6:54
  23. 23.A clock shows 1:46. What time will it show 49 minutes later? (a) 2:25 (b) 3:35 (c) 2:45 (d) 2:35
  24. 24.A clock shows 8:47. What time will it show 20 minutes later? (a) 8:57 (b) 9:07 (c) 9:17 (d) 10:07
  25. 25.How many degrees does the hour hand of a clock turn in 14 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 3 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  29. 29.A clock shows 3:59. What time will it show 54 minutes later? (a) 4:43 (b) 5:03 (c) 5:53 (d) 4:53
  30. 30.How many degrees does the hour hand of a clock turn in 31 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 41 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 13 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 51 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 51 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 58 minutes? =
  40. 40.A clock shows 4:56. What time will it show 22 minutes later? (a) 6:18 (b) 5:18 (c) 5:28 (d) 5:08

Answer key

  1. 23.5
  2. 10:14
  3. 102
  4. 97.5
  5. 27
  6. 12:21
  7. 78
  8. 10.5
  9. 22.5
  10. 66
  11. 312
  12. 5:18
  13. 41
  14. 3:27
  15. 144.5
  16. 90.5
  17. 1:08
  18. 4:27
  19. 112.5
  20. 108
  21. 48
  22. 6:44
  23. 2:35
  24. 9:07
  25. 7
  26. 143
  27. 18
  28. 112.5
  29. 4:53
  30. 15.5
  31. 23.5
  32. 246
  33. 6.5
  34. 306
  35. 25.5
  36. 145.5
  37. 98
  38. 132
  39. 29
  40. 5:18

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