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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 989 · 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 5:56. What time will it show 25 minutes later? (a) 6:31 (b) 6:11 (c) 6:21 (d) 7:21
  2. 2.How many degrees does the minute hand of a clock turn in 26 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 118 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 2 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 11 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 37 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 55 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 76 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 9 minutes? =
  13. 13.A clock shows 1:48. What time will it show 36 minutes later? (a) 2:14 (b) 2:24 (c) 3:24 (d) 2:34
  14. 14.A clock shows 2:22. What time will it show 74 minutes later? (a) 3:46 (b) 4:36 (c) 3:36 (d) 3:26
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
  16. 16.A clock shows 12:23. What time will it show 162 minutes later? (a) 3:05 (b) 3:15 (c) 2:55 (d) 4:05
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 53 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  24. 24.A clock shows 10:35. What time will it show 142 minutes later? (a) 1:07 (b) 1:57 (c) 12:57 (d) 12:47
  25. 25.How many degrees does the hour hand of a clock turn in 149 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 113 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 82 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 115 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  36. 36.A clock shows 11:33. What time will it show 53 minutes later? (a) 1:26 (b) 12:16 (c) 12:36 (d) 12:26
  37. 37.A clock shows 7:34. What time will it show 156 minutes later? (a) 11:10 (b) 10:10 (c) 10:00 (d) 10:20
  38. 38.A clock shows 9:48. What time will it show 23 minutes later? (a) 10:11 (b) 10:01 (c) 10:21 (d) 11:11
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  40. 40.A clock shows 4:56. What time will it show 87 minutes later? (a) 7:23 (b) 6:13 (c) 6:33 (d) 6:23

Answer key

  1. 6:21
  2. 156
  3. 59
  4. 12
  5. 30
  6. 66
  7. 14.5
  8. 222
  9. 75.5
  10. 330
  11. 38
  12. 54
  13. 2:24
  14. 3:36
  15. 39
  16. 3:05
  17. 58.5
  18. 60
  19. 21.5
  20. 318
  21. 137.5
  22. 27
  23. 123
  24. 12:57
  25. 74.5
  26. 37
  27. 56.5
  28. 160.5
  29. 150
  30. 41
  31. 92.5
  32. 59.5
  33. 57.5
  34. 25
  35. 15.5
  36. 12:26
  37. 10:10
  38. 10:11
  39. 158.5
  40. 6:23

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