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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 846 · 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 4:40? (in degrees) =
  2. 2.A clock shows 9:49. What time will it show 54 minutes later? (a) 11:43 (b) 10:33 (c) 10:43 (d) 10:53
  3. 3.How many degrees does the hour hand of a clock turn in 102 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  5. 5.A clock shows 11:18. What time will it show 95 minutes later? (a) 12:43 (b) 1:03 (c) 1:53 (d) 12:53
  6. 6.How many degrees does the hour hand of a clock turn in 54 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 173 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 175 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 78 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 89 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 79 minutes? =
  16. 16.A clock shows 5:32. What time will it show 102 minutes later? (a) 7:14 (b) 7:04 (c) 7:24 (d) 8:14
  17. 17.How many degrees does the hour hand of a clock turn in 73 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 113 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  20. 20.A clock shows 2:38. What time will it show 91 minutes later? (a) 4:09 (b) 4:19 (c) 3:59 (d) 5:09
  21. 21.A clock shows 3:13. What time will it show 157 minutes later? (a) 5:40 (b) 6:00 (c) 5:50 (d) 6:50
  22. 22.How many degrees does the hour hand of a clock turn in 131 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  24. 24.A clock shows 5:26. What time will it show 105 minutes later? (a) 7:21 (b) 7:01 (c) 7:11 (d) 8:11
  25. 25.A clock shows 12:09. What time will it show 45 minutes later? (a) 1:04 (b) 12:44 (c) 1:54 (d) 12:54
  26. 26.How many degrees does the hour hand of a clock turn in 30 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  31. 31.A clock shows 12:53. What time will it show 76 minutes later? (a) 2:09 (b) 3:09 (c) 2:19 (d) 1:59
  32. 32.How many degrees does the hour hand of a clock turn in 31 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  34. 34.A clock shows 7:59. What time will it show 34 minutes later? (a) 8:23 (b) 9:33 (c) 8:33 (d) 8:43
  35. 35.A clock shows 7:02. What time will it show 25 minutes later? (a) 7:27 (b) 8:27 (c) 7:17 (d) 7:37
  36. 36.How many degrees does the minute hand of a clock turn in 9 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =

Answer key

  1. 100
  2. 10:43
  3. 51
  4. 179.5
  5. 12:53
  6. 27
  7. 86.5
  8. 87.5
  9. 163.5
  10. 37
  11. 65.5
  12. 39
  13. 64.5
  14. 44.5
  15. 39.5
  16. 7:14
  17. 36.5
  18. 56.5
  19. 117.5
  20. 4:09
  21. 5:50
  22. 65.5
  23. 80
  24. 7:11
  25. 12:54
  26. 15
  27. 179
  28. 4
  29. 116
  30. 85
  31. 2:09
  32. 15.5
  33. 153
  34. 8:33
  35. 7:27
  36. 54
  37. 96
  38. 120.5
  39. 135
  40. 49

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