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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 18 · 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 12:38. What time will it show 135 minutes later? (a) 3:53 (b) 2:53 (c) 3:03 (d) 2:43
  2. 2.A clock shows 8:44. What time will it show 153 minutes later? (a) 12:17 (b) 11:07 (c) 11:27 (d) 11:17
  3. 3.How many degrees does the minute hand of a clock turn in 52 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 80 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 38 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 13 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 81 minutes? =
  12. 12.A clock shows 5:50. What time will it show 106 minutes later? (a) 7:46 (b) 8:36 (c) 7:36 (d) 7:26
  13. 13.A clock shows 9:29. What time will it show 100 minutes later? (a) 11:19 (b) 10:59 (c) 12:09 (d) 11:09
  14. 14.A clock shows 8:14. What time will it show 36 minutes later? (a) 9:50 (b) 8:50 (c) 8:40 (d) 9:00
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 55 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 21 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 25 minutes? =
  22. 22.A clock shows 11:59. What time will it show 42 minutes later? (a) 1:41 (b) 12:31 (c) 12:41 (d) 12:51
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 7 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  26. 26.A clock shows 3:31. What time will it show 97 minutes later? (a) 5:18 (b) 6:08 (c) 5:08 (d) 4:58
  27. 27.A clock shows 12:34. What time will it show 166 minutes later? (a) 3:10 (b) 4:20 (c) 3:30 (d) 3:20
  28. 28.How many degrees does the hour hand of a clock turn in 173 minutes? =
  29. 29.A clock shows 2:48. What time will it show 97 minutes later? (a) 4:15 (b) 4:35 (c) 4:25 (d) 5:25
  30. 30.A clock shows 9:08. What time will it show 148 minutes later? (a) 11:46 (b) 12:36 (c) 11:36 (d) 11:26
  31. 31.A clock shows 3:30. What time will it show 128 minutes later? (a) 5:48 (b) 5:38 (c) 5:28 (d) 6:38
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 18 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  35. 35.A clock shows 4:14. What time will it show 31 minutes later? (a) 5:45 (b) 4:45 (c) 4:35 (d) 4:55
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 39 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  39. 39.A clock shows 7:11. What time will it show 39 minutes later? (a) 8:00 (b) 7:40 (c) 8:50 (d) 7:50
  40. 40.A clock shows 10:10. What time will it show 22 minutes later? (a) 10:22 (b) 10:42 (c) 10:32 (d) 11:32

Answer key

  1. 2:53
  2. 11:17
  3. 312
  4. 44.5
  5. 68
  6. 40
  7. 7.5
  8. 19
  9. 132
  10. 6.5
  11. 40.5
  12. 7:36
  13. 11:09
  14. 8:50
  15. 70
  16. 18.5
  17. 330
  18. 154.5
  19. 146.5
  20. 10.5
  21. 12.5
  22. 12:41
  23. 78
  24. 42
  25. 69.5
  26. 5:08
  27. 3:20
  28. 86.5
  29. 4:25
  30. 11:36
  31. 5:38
  32. 35.5
  33. 108
  34. 71
  35. 4:45
  36. 124
  37. 234
  38. 63.5
  39. 7:50
  40. 10:32

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