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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 497 · 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 8:49. What time will it show 46 minutes later? (a) 10:35 (b) 9:45 (c) 9:35 (d) 9:25
  2. 2.How many degrees does the hour hand of a clock turn in 156 minutes? =
  3. 3.A clock shows 5:02. What time will it show 115 minutes later? (a) 6:57 (b) 6:47 (c) 7:07 (d) 7:57
  4. 4.A clock shows 5:35. What time will it show 168 minutes later? (a) 8:23 (b) 8:33 (c) 8:13 (d) 9:23
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 51 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 100 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 48 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 111 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 33 minutes? =
  15. 15.A clock shows 9:24. What time will it show 166 minutes later? (a) 1:10 (b) 12:10 (c) 12:00 (d) 12:20
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  23. 23.A clock shows 10:11. What time will it show 14 minutes later? (a) 11:25 (b) 10:25 (c) 10:35 (d) 10:15
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  25. 25.A clock shows 9:06. What time will it show 111 minutes later? (a) 11:07 (b) 10:47 (c) 10:57 (d) 11:57
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 86 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 16 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 28 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 131 minutes? =
  36. 36.A clock shows 1:19. What time will it show 60 minutes later? (a) 2:09 (b) 2:29 (c) 3:19 (d) 2:19
  37. 37.A clock shows 6:09. What time will it show 64 minutes later? (a) 7:03 (b) 7:13 (c) 8:13 (d) 7:23
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =

Answer key

  1. 9:35
  2. 78
  3. 6:57
  4. 8:23
  5. 84.5
  6. 47.5
  7. 306
  8. 128.5
  9. 50
  10. 288
  11. 2
  12. 55.5
  13. 3
  14. 198
  15. 12:10
  16. 81.5
  17. 67.5
  18. 11
  19. 115.5
  20. 1.5
  21. 28.5
  22. 43.5
  23. 10:25
  24. 124
  25. 10:57
  26. 57.5
  27. 43
  28. 78
  29. 96
  30. 44
  31. 148.5
  32. 14
  33. 161
  34. 51
  35. 65.5
  36. 2:19
  37. 7:13
  38. 0
  39. 38
  40. 130

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