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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 392 · 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 minute hand of a clock turn in 13 minutes? =
  2. 2.A clock shows 8:02. What time will it show 111 minutes later? (a) 10:53 (b) 9:43 (c) 10:03 (d) 9:53
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
  5. 5.A clock shows 5:22. What time will it show 146 minutes later? (a) 8:48 (b) 7:58 (c) 7:38 (d) 7:48
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  7. 7.A clock shows 9:45. What time will it show 42 minutes later? (a) 10:37 (b) 11:27 (c) 10:17 (d) 10:27
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 130 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 112 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 161 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 58 minutes? =
  24. 24.A clock shows 4:00. What time will it show 88 minutes later? (a) 5:38 (b) 5:28 (c) 6:28 (d) 5:18
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 30 minutes? =
  27. 27.A clock shows 10:42. What time will it show 85 minutes later? (a) 12:07 (b) 1:07 (c) 12:17 (d) 11:57
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  30. 30.A clock shows 5:37. What time will it show 58 minutes later? (a) 6:25 (b) 6:35 (c) 7:35 (d) 6:45
  31. 31.How many degrees does the minute hand of a clock turn in 6 minutes? =
  32. 32.A clock shows 4:51. What time will it show 33 minutes later? (a) 5:34 (b) 5:14 (c) 5:24 (d) 6:24
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 59 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 132 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 67 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 32 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 12 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  40. 40.A clock shows 10:05. What time will it show 156 minutes later? (a) 12:51 (b) 1:41 (c) 12:41 (d) 12:31

Answer key

  1. 78
  2. 9:53
  3. 131.5
  4. 216
  5. 7:48
  6. 170
  7. 10:27
  8. 128
  9. 88.5
  10. 35.5
  11. 65
  12. 171
  13. 56
  14. 80.5
  15. 101.5
  16. 93.5
  17. 84
  18. 80.5
  19. 47.5
  20. 150.5
  21. 48
  22. 80.5
  23. 348
  24. 5:28
  25. 156
  26. 180
  27. 12:07
  28. 30.5
  29. 21.5
  30. 6:35
  31. 36
  32. 5:24
  33. 115
  34. 354
  35. 66
  36. 33.5
  37. 16
  38. 72
  39. 83.5
  40. 12:41

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