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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 825 · 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 minute hand of a clock turn in 46 minutes? =
  2. 2.A clock shows 4:09. What time will it show 46 minutes later? (a) 4:45 (b) 4:55 (c) 5:05 (d) 5:55
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 11 minutes? =
  6. 6.A clock shows 5:12. What time will it show 90 minutes later? (a) 7:42 (b) 6:42 (c) 6:52 (d) 6:32
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  8. 8.A clock shows 8:26. What time will it show 72 minutes later? (a) 10:38 (b) 9:38 (c) 9:48 (d) 9:28
  9. 9.A clock shows 3:18. What time will it show 116 minutes later? (a) 6:14 (b) 5:04 (c) 5:14 (d) 5:24
  10. 10.A clock shows 10:54. What time will it show 59 minutes later? (a) 11:43 (b) 12:03 (c) 11:53 (d) 12:53
  11. 11.How many degrees does the minute hand of a clock turn in 4 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 174 minutes? =
  14. 14.A clock shows 1:51. What time will it show 27 minutes later? (a) 2:28 (b) 3:18 (c) 2:18 (d) 2:08
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  16. 16.A clock shows 4:33. What time will it show 118 minutes later? (a) 7:31 (b) 6:41 (c) 6:21 (d) 6:31
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  19. 19.A clock shows 9:09. What time will it show 154 minutes later? (a) 11:33 (b) 11:43 (c) 11:53 (d) 12:43
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 110 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 112 minutes? =
  23. 23.A clock shows 3:11. What time will it show 80 minutes later? (a) 4:41 (b) 4:31 (c) 4:21 (d) 5:31
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  31. 31.A clock shows 5:04. What time will it show 162 minutes later? (a) 7:46 (b) 7:56 (c) 7:36 (d) 8:46
  32. 32.A clock shows 3:05. What time will it show 158 minutes later? (a) 6:43 (b) 5:53 (c) 5:43 (d) 5:33
  33. 33.A clock shows 11:15. What time will it show 89 minutes later? (a) 1:44 (b) 12:34 (c) 12:54 (d) 12:44
  34. 34.A clock shows 4:37. What time will it show 82 minutes later? (a) 5:59 (b) 6:59 (c) 6:09 (d) 5:49
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  37. 37.A clock shows 8:56. What time will it show 129 minutes later? (a) 11:15 (b) 12:05 (c) 10:55 (d) 11:05
  38. 38.A clock shows 2:20. What time will it show 77 minutes later? (a) 4:37 (b) 3:47 (c) 3:27 (d) 3:37
  39. 39.A clock shows 6:09. What time will it show 121 minutes later? (a) 8:20 (b) 9:10 (c) 8:00 (d) 8:10
  40. 40.How many degrees does the minute hand of a clock turn in 35 minutes? =

Answer key

  1. 276
  2. 4:55
  3. 135.5
  4. 82
  5. 66
  6. 6:42
  7. 67.5
  8. 9:38
  9. 5:14
  10. 11:53
  11. 24
  12. 2
  13. 87
  14. 2:18
  15. 43.5
  16. 6:31
  17. 92.5
  18. 68.5
  19. 11:43
  20. 82.5
  21. 55
  22. 56
  23. 4:31
  24. 47
  25. 136.5
  26. 72
  27. 22
  28. 11.5
  29. 123.5
  30. 146.5
  31. 7:46
  32. 5:43
  33. 12:44
  34. 5:59
  35. 153
  36. 177.5
  37. 11:05
  38. 3:37
  39. 8:10
  40. 210

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