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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 664 · 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 4:57? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 77 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 43 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 37 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 15 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  9. 9.A clock shows 2:21. What time will it show 77 minutes later? (a) 3:48 (b) 4:38 (c) 3:28 (d) 3:38
  10. 10.How many degrees does the minute hand of a clock turn in 58 minutes? =
  11. 11.A clock shows 9:13. What time will it show 125 minutes later? (a) 11:28 (b) 12:18 (c) 11:18 (d) 11:08
  12. 12.A clock shows 7:42. What time will it show 146 minutes later? (a) 11:08 (b) 9:58 (c) 10:08 (d) 10:18
  13. 13.A clock shows 8:04. What time will it show 43 minutes later? (a) 8:37 (b) 8:57 (c) 9:47 (d) 8:47
  14. 14.How many degrees does the hour hand of a clock turn in 149 minutes? =
  15. 15.A clock shows 3:49. What time will it show 130 minutes later? (a) 5:49 (b) 6:59 (c) 5:59 (d) 6:09
  16. 16.How many degrees does the hour hand of a clock turn in 144 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 32 minutes? =
  18. 18.A clock shows 10:27. What time will it show 16 minutes later? (a) 10:33 (b) 11:43 (c) 10:53 (d) 10:43
  19. 19.A clock shows 10:07. What time will it show 61 minutes later? (a) 11:18 (b) 12:08 (c) 10:58 (d) 11:08
  20. 20.How many degrees does the hour hand of a clock turn in 87 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 21 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 83 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  29. 29.A clock shows 12:48. What time will it show 73 minutes later? (a) 2:11 (b) 1:51 (c) 3:01 (d) 2:01
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  32. 32.A clock shows 12:09. What time will it show 38 minutes later? (a) 1:47 (b) 12:57 (c) 12:47 (d) 12:37
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  36. 36.A clock shows 8:15. What time will it show 82 minutes later? (a) 9:27 (b) 9:47 (c) 10:37 (d) 9:37
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =

Answer key

  1. 166.5
  2. 38.5
  3. 258
  4. 69
  5. 135.5
  6. 222
  7. 90
  8. 99.5
  9. 3:38
  10. 348
  11. 11:18
  12. 10:08
  13. 8:47
  14. 74.5
  15. 5:59
  16. 72
  17. 192
  18. 10:43
  19. 11:08
  20. 43.5
  21. 21
  22. 72
  23. 142
  24. 123.5
  25. 156
  26. 126
  27. 41.5
  28. 103
  29. 2:01
  30. 4
  31. 98.5
  32. 12:47
  33. 53
  34. 8
  35. 54
  36. 9:37
  37. 32.5
  38. 52
  39. 88
  40. 78.5

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