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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 719 · 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.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  5. 5.A clock shows 9:06. What time will it show 110 minutes later? (a) 11:56 (b) 10:46 (c) 11:06 (d) 10:56
  6. 6.A clock shows 12:18. What time will it show 76 minutes later? (a) 1:24 (b) 2:34 (c) 1:34 (d) 1:44
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 79 minutes? =
  9. 9.A clock shows 8:13. What time will it show 87 minutes later? (a) 9:50 (b) 9:30 (c) 9:40 (d) 10:40
  10. 10.A clock shows 12:45. What time will it show 85 minutes later? (a) 2:00 (b) 3:10 (c) 2:10 (d) 2:20
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 24 minutes? =
  14. 14.A clock shows 4:41. What time will it show 23 minutes later? (a) 5:14 (b) 4:54 (c) 5:04 (d) 6:04
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  19. 19.A clock shows 2:57. What time will it show 170 minutes later? (a) 5:47 (b) 6:47 (c) 5:57 (d) 5:37
  20. 20.A clock shows 6:57. What time will it show 75 minutes later? (a) 8:02 (b) 9:12 (c) 8:22 (d) 8:12
  21. 21.How many degrees does the minute hand of a clock turn in 50 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 113 minutes? =
  23. 23.A clock shows 8:12. What time will it show 82 minutes later? (a) 9:44 (b) 9:24 (c) 10:34 (d) 9:34
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 53 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  29. 29.A clock shows 1:50. What time will it show 24 minutes later? (a) 2:24 (b) 2:04 (c) 3:14 (d) 2:14
  30. 30.A clock shows 2:42. What time will it show 41 minutes later? (a) 3:13 (b) 4:23 (c) 3:33 (d) 3:23
  31. 31.How many degrees does the hour hand of a clock turn in 142 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 15 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  35. 35.A clock shows 8:35. What time will it show 25 minutes later? (a) 9:10 (b) 9:00 (c) 8:50 (d) 10:00
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  37. 37.A clock shows 11:22. What time will it show 37 minutes later? (a) 11:59 (b) 12:09 (c) 11:49 (d) 12:59
  38. 38.A clock shows 3:04. What time will it show 13 minutes later? (a) 3:17 (b) 3:07 (c) 3:27 (d) 4:17
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 25 minutes? =

Answer key

  1. 6.5
  2. 129
  3. 176.5
  4. 122
  5. 10:56
  6. 1:34
  7. 162.5
  8. 39.5
  9. 9:40
  10. 2:10
  11. 27
  12. 118
  13. 144
  14. 5:04
  15. 105
  16. 11
  17. 162
  18. 154.5
  19. 5:47
  20. 8:12
  21. 300
  22. 56.5
  23. 9:34
  24. 112.5
  25. 106
  26. 81.5
  27. 318
  28. 17
  29. 2:14
  30. 3:23
  31. 71
  32. 47
  33. 90
  34. 16.5
  35. 9:00
  36. 8.5
  37. 11:59
  38. 3:17
  39. 37.5
  40. 12.5

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