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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 332 · 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 12:55. What time will it show 154 minutes later? (a) 4:29 (b) 3:39 (c) 3:29 (d) 3:19
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 54 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  6. 6.A clock shows 8:02. What time will it show 44 minutes later? (a) 8:46 (b) 8:56 (c) 9:46 (d) 8:36
  7. 7.A clock shows 8:39. What time will it show 85 minutes later? (a) 10:14 (b) 11:04 (c) 10:04 (d) 9:54
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  10. 10.A clock shows 1:52. What time will it show 77 minutes later? (a) 4:09 (b) 2:59 (c) 3:09 (d) 3:19
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 110 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  14. 14.A clock shows 12:00. What time will it show 10 minutes later? (a) 12:20 (b) 12:10 (c) 1:10 (d) 12:00
  15. 15.How many degrees does the hour hand of a clock turn in 140 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  17. 17.A clock shows 11:32. What time will it show 81 minutes later? (a) 1:53 (b) 1:03 (c) 12:53 (d) 12:43
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  19. 19.A clock shows 10:06. What time will it show 159 minutes later? (a) 12:35 (b) 12:45 (c) 12:55 (d) 1:45
  20. 20.How many degrees does the minute hand of a clock turn in 45 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  22. 22.A clock shows 9:58. What time will it show 32 minutes later? (a) 11:30 (b) 10:40 (c) 10:20 (d) 10:30
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  25. 25.A clock shows 3:52. What time will it show 104 minutes later? (a) 5:36 (b) 5:26 (c) 5:46 (d) 6:36
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  27. 27.A clock shows 10:49. What time will it show 71 minutes later? (a) 11:50 (b) 12:10 (c) 12:00 (d) 1:00
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 167 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 86 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 77 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 2 minutes? =
  34. 34.A clock shows 7:14. What time will it show 106 minutes later? (a) 9:10 (b) 8:50 (c) 9:00 (d) 10:00
  35. 35.A clock shows 2:56. What time will it show 26 minutes later? (a) 4:22 (b) 3:32 (c) 3:12 (d) 3:22
  36. 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  38. 38.A clock shows 9:28. What time will it show 81 minutes later? (a) 10:39 (b) 11:49 (c) 10:49 (d) 10:59
  39. 39.How many degrees does the minute hand of a clock turn in 44 minutes? =
  40. 40.A clock shows 6:12. What time will it show 20 minutes later? (a) 6:32 (b) 6:22 (c) 7:32 (d) 6:42

Answer key

  1. 3:29
  2. 141.5
  3. 24
  4. 324
  5. 123.5
  6. 8:46
  7. 10:04
  8. 59.5
  9. 109
  10. 3:09
  11. 127.5
  12. 55
  13. 154.5
  14. 12:10
  15. 70
  16. 95
  17. 12:53
  18. 54.5
  19. 12:45
  20. 270
  21. 109.5
  22. 10:30
  23. 36.5
  24. 151.5
  25. 5:36
  26. 95
  27. 12:00
  28. 102
  29. 83.5
  30. 43
  31. 36.5
  32. 38.5
  33. 12
  34. 9:00
  35. 3:22
  36. 348
  37. 31.5
  38. 10:49
  39. 264
  40. 6:32

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