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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 964 · 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.A clock shows 10:24. What time will it show 40 minutes later? (a) 11:04 (b) 12:04 (c) 11:14 (d) 10:54
  2. 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  6. 6.A clock shows 8:49. What time will it show 86 minutes later? (a) 10:25 (b) 11:15 (c) 10:15 (d) 10:05
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 24 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 11 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 41 minutes? =
  13. 13.A clock shows 9:46. What time will it show 65 minutes later? (a) 11:01 (b) 11:51 (c) 10:51 (d) 10:41
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 80 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 163 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 14 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 33 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  33. 33.A clock shows 5:47. What time will it show 63 minutes later? (a) 7:00 (b) 7:50 (c) 6:50 (d) 6:40
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 21 minutes? =
  36. 36.A clock shows 2:14. What time will it show 114 minutes later? (a) 5:08 (b) 3:58 (c) 4:18 (d) 4:08
  37. 37.A clock shows 1:56. What time will it show 22 minutes later? (a) 2:18 (b) 3:18 (c) 2:28 (d) 2:08
  38. 38.A clock shows 9:51. What time will it show 95 minutes later? (a) 11:16 (b) 12:26 (c) 11:36 (d) 11:26
  39. 39.How many degrees does the minute hand of a clock turn in 36 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =

Answer key

  1. 11:04
  2. 312
  3. 12
  4. 17.5
  5. 175.5
  6. 10:15
  7. 52.5
  8. 78
  9. 165
  10. 144
  11. 66
  12. 20.5
  13. 10:51
  14. 134
  15. 166
  16. 77.5
  17. 40
  18. 12
  19. 77.5
  20. 106.5
  21. 81.5
  22. 18.5
  23. 84
  24. 169.5
  25. 5
  26. 77
  27. 73
  28. 198
  29. 58
  30. 105
  31. 41.5
  32. 13
  33. 6:50
  34. 52.5
  35. 126
  36. 4:08
  37. 2:18
  38. 11:26
  39. 216
  40. 76

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