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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 365 · 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 11:49? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 40 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 24 minutes? =
  5. 5.A clock shows 12:09. What time will it show 40 minutes later? (a) 12:39 (b) 1:49 (c) 12:49 (d) 12:59
  6. 6.A clock shows 2:00. What time will it show 110 minutes later? (a) 4:00 (b) 3:50 (c) 3:40 (d) 4:50
  7. 7.A clock shows 9:11. What time will it show 148 minutes later? (a) 11:29 (b) 11:49 (c) 12:39 (d) 11:39
  8. 8.How many degrees does the hour hand of a clock turn in 15 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 27 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 6 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  14. 14.A clock shows 7:57. What time will it show 169 minutes later? (a) 10:36 (b) 10:56 (c) 10:46 (d) 11:46
  15. 15.A clock shows 7:53. What time will it show 162 minutes later? (a) 10:35 (b) 10:25 (c) 10:45 (d) 11:35
  16. 16.A clock shows 12:07. What time will it show 53 minutes later? (a) 2:00 (b) 12:50 (c) 1:10 (d) 1:00
  17. 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  19. 19.A clock shows 4:25. What time will it show 33 minutes later? (a) 5:08 (b) 5:58 (c) 4:58 (d) 4:48
  20. 20.A clock shows 5:50. What time will it show 154 minutes later? (a) 9:24 (b) 8:14 (c) 8:24 (d) 8:34
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 15 minutes? =
  23. 23.A clock shows 5:49. What time will it show 77 minutes later? (a) 7:06 (b) 6:56 (c) 8:06 (d) 7:16
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  25. 25.A clock shows 11:16. What time will it show 50 minutes later? (a) 11:56 (b) 12:06 (c) 1:06 (d) 12:16
  26. 26.A clock shows 9:52. What time will it show 18 minutes later? (a) 10:20 (b) 11:10 (c) 10:10 (d) 10:00
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  28. 28.A clock shows 7:55. What time will it show 145 minutes later? (a) 10:20 (b) 11:20 (c) 10:30 (d) 10:10
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 56 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 39 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 22 minutes? =
  37. 37.A clock shows 9:09. What time will it show 47 minutes later? (a) 9:46 (b) 9:56 (c) 10:56 (d) 10:06
  38. 38.A clock shows 11:28. What time will it show 144 minutes later? (a) 1:42 (b) 2:52 (c) 2:02 (d) 1:52
  39. 39.How many degrees does the hour hand of a clock turn in 59 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 130 minutes? =

Answer key

  1. 60.5
  2. 240
  3. 73
  4. 144
  5. 12:49
  6. 3:50
  7. 11:39
  8. 7.5
  9. 162
  10. 31.5
  11. 36
  12. 38
  13. 21.5
  14. 10:46
  15. 10:35
  16. 1:00
  17. 78
  18. 162
  19. 4:58
  20. 8:24
  21. 107.5
  22. 90
  23. 7:06
  24. 10.5
  25. 12:06
  26. 10:10
  27. 77.5
  28. 10:20
  29. 67.5
  30. 28
  31. 74.5
  32. 234
  33. 138
  34. 15.5
  35. 112.5
  36. 11
  37. 9:56
  38. 1:52
  39. 29.5
  40. 65

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