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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 673 · 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 5:24? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 127 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  7. 7.A clock shows 11:27. What time will it show 10 minutes later? (a) 11:27 (b) 11:37 (c) 11:47 (d) 12:37
  8. 8.A clock shows 4:51. What time will it show 165 minutes later? (a) 7:46 (b) 7:26 (c) 8:36 (d) 7:36
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 180 minutes? =
  13. 13.A clock shows 5:36. What time will it show 126 minutes later? (a) 7:52 (b) 7:32 (c) 7:42 (d) 8:42
  14. 14.How many degrees does the minute hand of a clock turn in 4 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 82 minutes? =
  16. 16.A clock shows 3:57. What time will it show 125 minutes later? (a) 6:02 (b) 7:02 (c) 5:52 (d) 6:12
  17. 17.A clock shows 7:50. What time will it show 26 minutes later? (a) 8:26 (b) 8:16 (c) 8:06 (d) 9:16
  18. 18.How many degrees does the hour hand of a clock turn in 12 minutes? =
  19. 19.A clock shows 2:33. What time will it show 65 minutes later? (a) 3:48 (b) 4:38 (c) 3:28 (d) 3:38
  20. 20.How many degrees does the minute hand of a clock turn in 45 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 10 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 13 minutes? =
  23. 23.A clock shows 6:47. What time will it show 146 minutes later? (a) 9:23 (b) 9:13 (c) 10:13 (d) 9:03
  24. 24.How many degrees does the minute hand of a clock turn in 58 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 44 minutes? =
  26. 26.A clock shows 5:14. What time will it show 12 minutes later? (a) 5:26 (b) 5:16 (c) 5:36 (d) 6:26
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  28. 28.A clock shows 9:25. What time will it show 106 minutes later? (a) 11:21 (b) 11:01 (c) 11:11 (d) 12:11
  29. 29.How many degrees does the hour hand of a clock turn in 178 minutes? =
  30. 30.A clock shows 3:24. What time will it show 37 minutes later? (a) 3:51 (b) 4:01 (c) 5:01 (d) 4:11
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  33. 33.A clock shows 2:14. What time will it show 75 minutes later? (a) 3:29 (b) 4:29 (c) 3:19 (d) 3:39
  34. 34.A clock shows 4:06. What time will it show 73 minutes later? (a) 5:29 (b) 6:19 (c) 5:09 (d) 5:19
  35. 35.How many degrees does the hour hand of a clock turn in 23 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 38 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 105 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =

Answer key

  1. 18
  2. 63.5
  3. 2.5
  4. 129.5
  5. 150
  6. 28
  7. 11:37
  8. 7:36
  9. 52.5
  10. 46
  11. 13
  12. 90
  13. 7:42
  14. 24
  15. 41
  16. 6:02
  17. 8:16
  18. 6
  19. 3:38
  20. 270
  21. 5
  22. 78
  23. 9:13
  24. 348
  25. 264
  26. 5:26
  27. 7
  28. 11:11
  29. 89
  30. 4:01
  31. 66
  32. 85.5
  33. 3:29
  34. 5:19
  35. 11.5
  36. 113
  37. 19
  38. 52.5
  39. 75
  40. 118

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