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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 735 · 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 11:00? (in degrees) =
  2. 2.A clock shows 2:54. What time will it show 121 minutes later? (a) 5:55 (b) 5:05 (c) 4:55 (d) 4:45
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  4. 4.A clock shows 3:40. What time will it show 155 minutes later? (a) 6:25 (b) 7:15 (c) 6:05 (d) 6:15
  5. 5.A clock shows 9:44. What time will it show 33 minutes later? (a) 10:07 (b) 11:17 (c) 10:27 (d) 10:17
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  7. 7.A clock shows 7:04. What time will it show 44 minutes later? (a) 7:48 (b) 7:58 (c) 7:38 (d) 8:48
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 37 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 43 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 21 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 15 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 13 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 13 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  24. 24.A clock shows 5:16. What time will it show 151 minutes later? (a) 8:47 (b) 7:37 (c) 7:47 (d) 7:57
  25. 25.How many degrees does the minute hand of a clock turn in 57 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 53 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 55 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 24 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 110 minutes? =
  31. 31.A clock shows 7:30. What time will it show 17 minutes later? (a) 7:37 (b) 8:47 (c) 7:47 (d) 7:57
  32. 32.How many degrees does the minute hand of a clock turn in 46 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 31 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 34 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  38. 38.A clock shows 3:50. What time will it show 110 minutes later? (a) 5:40 (b) 5:30 (c) 5:50 (d) 6:40
  39. 39.A clock shows 6:17. What time will it show 155 minutes later? (a) 8:42 (b) 9:02 (c) 9:52 (d) 8:52
  40. 40.A clock shows 4:17. What time will it show 101 minutes later? (a) 6:58 (b) 6:08 (c) 5:48 (d) 5:58

Answer key

  1. 30
  2. 4:55
  3. 158
  4. 6:15
  5. 10:17
  6. 36.5
  7. 7:48
  8. 98.5
  9. 176.5
  10. 112.5
  11. 222
  12. 21.5
  13. 154
  14. 70
  15. 10.5
  16. 37
  17. 90
  18. 6.5
  19. 64.5
  20. 73.5
  21. 78
  22. 97.5
  23. 15
  24. 7:47
  25. 342
  26. 318
  27. 99
  28. 330
  29. 12
  30. 55
  31. 7:47
  32. 276
  33. 186
  34. 204
  35. 63
  36. 9.5
  37. 40.5
  38. 5:40
  39. 8:52
  40. 5:58

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