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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 28 · 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 hour hand of a clock turn in 149 minutes? =
  2. 2.A clock shows 3:48. What time will it show 20 minutes later? (a) 4:18 (b) 4:08 (c) 3:58 (d) 5:08
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 39 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  6. 6.A clock shows 3:49. What time will it show 10 minutes later? (a) 4:09 (b) 3:59 (c) 4:59 (d) 3:49
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 7 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 38 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 12 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  13. 13.A clock shows 1:13. What time will it show 142 minutes later? (a) 4:35 (b) 3:25 (c) 3:45 (d) 3:35
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 45 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 18 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 35 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 2 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 44 minutes? =
  23. 23.A clock shows 9:06. What time will it show 95 minutes later? (a) 10:51 (b) 10:31 (c) 10:41 (d) 11:41
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  25. 25.A clock shows 8:14. What time will it show 49 minutes later? (a) 10:03 (b) 9:13 (c) 9:03 (d) 8:53
  26. 26.A clock shows 1:07. What time will it show 159 minutes later? (a) 3:46 (b) 4:46 (c) 3:36 (d) 3:56
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  30. 30.A clock shows 7:44. What time will it show 168 minutes later? (a) 10:32 (b) 10:22 (c) 10:42 (d) 11:32
  31. 31.A clock shows 8:58. What time will it show 65 minutes later? (a) 9:53 (b) 11:03 (c) 10:13 (d) 10:03
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  33. 33.A clock shows 11:53. What time will it show 14 minutes later? (a) 11:57 (b) 12:17 (c) 12:07 (d) 1:07
  34. 34.How many degrees does the hour hand of a clock turn in 168 minutes? =
  35. 35.A clock shows 4:32. What time will it show 169 minutes later? (a) 7:21 (b) 7:11 (c) 7:31 (d) 8:21
  36. 36.How many degrees does the minute hand of a clock turn in 19 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  38. 38.A clock shows 1:08. What time will it show 97 minutes later? (a) 2:55 (b) 2:35 (c) 2:45 (d) 3:45
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =

Answer key

  1. 74.5
  2. 4:08
  3. 23.5
  4. 234
  5. 97.5
  6. 3:59
  7. 127.5
  8. 42
  9. 19
  10. 72
  11. 44.5
  12. 74
  13. 3:35
  14. 48.5
  15. 22.5
  16. 97
  17. 9
  18. 76.5
  19. 210
  20. 12
  21. 106
  22. 264
  23. 10:41
  24. 109
  25. 9:03
  26. 3:46
  27. 85.5
  28. 159
  29. 85
  30. 10:32
  31. 10:03
  32. 85
  33. 12:07
  34. 84
  35. 7:21
  36. 114
  37. 30
  38. 2:45
  39. 103.5
  40. 61.5

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