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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 805 · 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 10:46? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 113 minutes? =
  4. 4.A clock shows 9:13. What time will it show 144 minutes later? (a) 11:27 (b) 12:37 (c) 11:47 (d) 11:37
  5. 5.How many degrees does the hour hand of a clock turn in 139 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 14 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  9. 9.A clock shows 1:50. What time will it show 89 minutes later? (a) 4:19 (b) 3:09 (c) 3:19 (d) 3:29
  10. 10.A clock shows 12:03. What time will it show 21 minutes later? (a) 12:14 (b) 1:24 (c) 12:24 (d) 12:34
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  12. 12.A clock shows 7:43. What time will it show 91 minutes later? (a) 9:14 (b) 9:24 (c) 9:04 (d) 10:14
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 24 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 13 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 73 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 34 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 116 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 38 minutes? =
  22. 22.A clock shows 4:09. What time will it show 43 minutes later? (a) 5:52 (b) 4:52 (c) 4:42 (d) 5:02
  23. 23.How many degrees does the hour hand of a clock turn in 36 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 26 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 104 minutes? =
  28. 28.A clock shows 2:45. What time will it show 137 minutes later? (a) 4:52 (b) 5:02 (c) 5:12 (d) 6:02
  29. 29.How many degrees does the hour hand of a clock turn in 163 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 55 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 42 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 50 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 56 minutes? =
  35. 35.A clock shows 7:07. What time will it show 34 minutes later? (a) 7:51 (b) 7:31 (c) 7:41 (d) 8:41
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 152 minutes? =
  38. 38.A clock shows 8:57. What time will it show 11 minutes later? (a) 10:08 (b) 9:18 (c) 9:08 (d) 8:58
  39. 39.How many degrees does the minute hand of a clock turn in 16 minutes? =
  40. 40.A clock shows 3:44. What time will it show 34 minutes later? (a) 4:08 (b) 4:28 (c) 5:18 (d) 4:18

Answer key

  1. 47
  2. 32.5
  3. 56.5
  4. 11:37
  5. 69.5
  6. 84
  7. 137.5
  8. 79
  9. 3:19
  10. 12:24
  11. 106
  12. 9:14
  13. 168.5
  14. 12
  15. 2.5
  16. 78
  17. 78.5
  18. 36.5
  19. 204
  20. 58
  21. 228
  22. 4:52
  23. 18
  24. 94.5
  25. 156
  26. 49
  27. 52
  28. 5:02
  29. 81.5
  30. 330
  31. 48.5
  32. 252
  33. 300
  34. 28
  35. 7:41
  36. 105
  37. 76
  38. 9:08
  39. 96
  40. 4:18

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