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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 988 · 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 4:08? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 81 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 52 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  9. 9.A clock shows 3:12. What time will it show 77 minutes later? (a) 4:29 (b) 4:19 (c) 5:29 (d) 4:39
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  13. 13.A clock shows 8:45. What time will it show 49 minutes later? (a) 10:34 (b) 9:24 (c) 9:44 (d) 9:34
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  17. 17.A clock shows 2:12. What time will it show 136 minutes later? (a) 4:28 (b) 4:18 (c) 5:28 (d) 4:38
  18. 18.A clock shows 11:36. What time will it show 168 minutes later? (a) 2:24 (b) 3:24 (c) 2:14 (d) 2:34
  19. 19.A clock shows 2:44. What time will it show 111 minutes later? (a) 4:45 (b) 5:35 (c) 4:35 (d) 4:25
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  21. 21.A clock shows 3:22. What time will it show 47 minutes later? (a) 4:19 (b) 5:09 (c) 3:59 (d) 4:09
  22. 22.A clock shows 4:48. What time will it show 130 minutes later? (a) 6:48 (b) 7:08 (c) 7:58 (d) 6:58
  23. 23.How many degrees does the minute hand of a clock turn in 4 minutes? =
  24. 24.A clock shows 10:37. What time will it show 136 minutes later? (a) 1:03 (b) 12:43 (c) 1:53 (d) 12:53
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  26. 26.A clock shows 11:05. What time will it show 64 minutes later? (a) 1:09 (b) 11:59 (c) 12:09 (d) 12:19
  27. 27.How many degrees does the minute hand of a clock turn in 39 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 32 minutes? =
  29. 29.A clock shows 6:47. What time will it show 17 minutes later? (a) 8:04 (b) 6:54 (c) 7:04 (d) 7:14
  30. 30.How many degrees does the hour hand of a clock turn in 152 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 98 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 83 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 54 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 47 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 122 minutes? =

Answer key

  1. 76
  2. 99.5
  3. 176.5
  4. 40.5
  5. 312
  6. 142
  7. 178.5
  8. 29.5
  9. 4:29
  10. 26
  11. 258
  12. 101.5
  13. 9:34
  14. 6.5
  15. 153.5
  16. 171
  17. 4:28
  18. 2:24
  19. 4:35
  20. 39.5
  21. 4:09
  22. 6:58
  23. 24
  24. 12:53
  25. 171
  26. 12:09
  27. 234
  28. 16
  29. 7:04
  30. 76
  31. 49
  32. 141.5
  33. 62.5
  34. 41.5
  35. 324
  36. 97.5
  37. 23.5
  38. 155.5
  39. 82.5
  40. 61

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