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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 522 · 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 6:36. What time will it show 169 minutes later? (a) 9:25 (b) 10:25 (c) 9:35 (d) 9:15
  2. 2.How many degrees does the minute hand of a clock turn in 22 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  4. 4.A clock shows 3:56. What time will it show 22 minutes later? (a) 5:18 (b) 4:18 (c) 4:08 (d) 4:28
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 52 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 29 minutes? =
  8. 8.A clock shows 10:39. What time will it show 76 minutes later? (a) 12:05 (b) 11:55 (c) 11:45 (d) 12:55
  9. 9.How many degrees does the minute hand of a clock turn in 13 minutes? =
  10. 10.A clock shows 11:45. What time will it show 85 minutes later? (a) 2:10 (b) 1:10 (c) 1:00 (d) 1:20
  11. 11.How many degrees does the hour hand of a clock turn in 57 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 128 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 37 minutes? =
  15. 15.A clock shows 10:14. What time will it show 93 minutes later? (a) 11:37 (b) 12:47 (c) 11:47 (d) 11:57
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 27 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 26 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  27. 27.A clock shows 11:08. What time will it show 34 minutes later? (a) 11:52 (b) 11:32 (c) 12:42 (d) 11:42
  28. 28.A clock shows 7:59. What time will it show 28 minutes later? (a) 8:17 (b) 8:27 (c) 8:37 (d) 9:27
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  30. 30.A clock shows 3:24. What time will it show 108 minutes later? (a) 6:12 (b) 5:02 (c) 5:12 (d) 5:22
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  32. 32.A clock shows 7:02. What time will it show 73 minutes later? (a) 8:25 (b) 8:15 (c) 8:05 (d) 9:15
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  34. 34.A clock shows 11:17. What time will it show 125 minutes later? (a) 1:12 (b) 1:32 (c) 2:22 (d) 1:22
  35. 35.How many degrees does the hour hand of a clock turn in 34 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  37. 37.A clock shows 1:17. What time will it show 39 minutes later? (a) 2:06 (b) 1:46 (c) 2:56 (d) 1:56
  38. 38.A clock shows 10:45. What time will it show 122 minutes later? (a) 1:47 (b) 12:37 (c) 12:57 (d) 12:47
  39. 39.How many degrees does the hour hand of a clock turn in 31 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =

Answer key

  1. 9:25
  2. 132
  3. 130.5
  4. 4:18
  5. 64
  6. 26
  7. 14.5
  8. 11:55
  9. 78
  10. 1:10
  11. 28.5
  12. 94.5
  13. 64
  14. 18.5
  15. 11:47
  16. 27
  17. 21.5
  18. 6.5
  19. 165
  20. 162
  21. 103
  22. 1
  23. 43
  24. 138
  25. 156
  26. 32
  27. 11:42
  28. 8:27
  29. 154.5
  30. 5:12
  31. 52.5
  32. 8:15
  33. 68
  34. 1:22
  35. 17
  36. 88
  37. 1:56
  38. 12:47
  39. 15.5
  40. 169.5

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