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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 730 · 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 60 minutes? =
  2. 2.A clock shows 8:40. What time will it show 55 minutes later? (a) 9:45 (b) 9:35 (c) 10:35 (d) 9:25
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 37 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  9. 9.A clock shows 8:58. What time will it show 145 minutes later? (a) 12:23 (b) 11:33 (c) 11:23 (d) 11:13
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  12. 12.A clock shows 12:16. What time will it show 55 minutes later? (a) 2:11 (b) 1:11 (c) 1:01 (d) 1:21
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 9 minutes? =
  18. 18.A clock shows 7:05. What time will it show 27 minutes later? (a) 8:32 (b) 7:22 (c) 7:32 (d) 7:42
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  22. 22.A clock shows 2:57. What time will it show 163 minutes later? (a) 5:30 (b) 5:50 (c) 6:40 (d) 5:40
  23. 23.How many degrees does the hour hand of a clock turn in 30 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 102 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 96 minutes? =
  26. 26.A clock shows 10:59. What time will it show 115 minutes later? (a) 1:54 (b) 1:04 (c) 12:54 (d) 12:44
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 152 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 170 minutes? =
  31. 31.A clock shows 3:41. What time will it show 109 minutes later? (a) 5:40 (b) 5:20 (c) 5:30 (d) 6:30
  32. 32.How many degrees does the minute hand of a clock turn in 33 minutes? =
  33. 33.A clock shows 4:24. What time will it show 89 minutes later? (a) 5:43 (b) 5:53 (c) 6:03 (d) 6:53
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  35. 35.A clock shows 1:56. What time will it show 27 minutes later? (a) 2:13 (b) 3:23 (c) 2:23 (d) 2:33
  36. 36.A clock shows 8:14. What time will it show 70 minutes later? (a) 9:14 (b) 9:34 (c) 10:24 (d) 9:24
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  38. 38.A clock shows 11:38. What time will it show 90 minutes later? (a) 2:08 (b) 1:08 (c) 1:18 (d) 12:58
  39. 39.A clock shows 3:19. What time will it show 16 minutes later? (a) 4:35 (b) 3:25 (c) 3:35 (d) 3:45
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =

Answer key

  1. 30
  2. 9:35
  3. 34.5
  4. 23.5
  5. 107
  6. 105
  7. 18.5
  8. 53
  9. 11:23
  10. 98
  11. 67.5
  12. 1:11
  13. 158.5
  14. 104
  15. 94
  16. 60
  17. 54
  18. 7:32
  19. 112
  20. 152
  21. 169
  22. 5:40
  23. 15
  24. 51
  25. 48
  26. 12:54
  27. 147
  28. 76
  29. 160.5
  30. 85
  31. 5:30
  32. 198
  33. 5:53
  34. 113.5
  35. 2:23
  36. 9:24
  37. 115.5
  38. 1:08
  39. 3:35
  40. 97.5

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