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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 13 · 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 8 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 10 minutes? =
  3. 3.A clock shows 2:52. What time will it show 45 minutes later? (a) 3:37 (b) 3:27 (c) 3:47 (d) 4:37
  4. 4.A clock shows 11:42. What time will it show 95 minutes later? (a) 2:17 (b) 1:07 (c) 1:17 (d) 1:27
  5. 5.A clock shows 5:58. What time will it show 35 minutes later? (a) 6:23 (b) 6:33 (c) 7:33 (d) 6:43
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  7. 7.A clock shows 11:26. What time will it show 41 minutes later? (a) 1:07 (b) 12:07 (c) 12:17 (d) 11:57
  8. 8.How many degrees does the hour hand of a clock turn in 59 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  10. 10.A clock shows 2:10. What time will it show 145 minutes later? (a) 4:35 (b) 4:45 (c) 4:25 (d) 5:35
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 54 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 56 minutes? =
  15. 15.A clock shows 1:45. What time will it show 66 minutes later? (a) 3:01 (b) 3:51 (c) 2:41 (d) 2:51
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 70 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 81 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  20. 20.A clock shows 11:51. What time will it show 15 minutes later? (a) 12:16 (b) 12:06 (c) 11:56 (d) 1:06
  21. 21.A clock shows 8:17. What time will it show 96 minutes later? (a) 10:53 (b) 10:03 (c) 9:53 (d) 9:43
  22. 22.A clock shows 8:56. What time will it show 36 minutes later? (a) 9:32 (b) 9:22 (c) 10:32 (d) 9:42
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 67 minutes? =
  25. 25.A clock shows 2:58. What time will it show 149 minutes later? (a) 5:37 (b) 5:17 (c) 6:27 (d) 5:27
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  27. 27.A clock shows 3:50. What time will it show 53 minutes later? (a) 4:53 (b) 5:43 (c) 4:43 (d) 4:33
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  29. 29.A clock shows 2:21. What time will it show 90 minutes later? (a) 4:01 (b) 3:41 (c) 4:51 (d) 3:51
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 46 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 23 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  34. 34.A clock shows 4:44. What time will it show 53 minutes later? (a) 5:47 (b) 6:37 (c) 5:27 (d) 5:37
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 79 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  38. 38.A clock shows 9:37. What time will it show 60 minutes later? (a) 11:37 (b) 10:27 (c) 10:37 (d) 10:47
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  40. 40.A clock shows 8:33. What time will it show 119 minutes later? (a) 11:32 (b) 10:42 (c) 10:32 (d) 10:22

Answer key

  1. 48
  2. 5
  3. 3:37
  4. 1:17
  5. 6:33
  6. 44
  7. 12:07
  8. 29.5
  9. 78.5
  10. 4:35
  11. 91.5
  12. 170.5
  13. 324
  14. 336
  15. 2:51
  16. 70.5
  17. 35
  18. 40.5
  19. 88
  20. 12:06
  21. 9:53
  22. 9:32
  23. 58
  24. 33.5
  25. 5:27
  26. 8.5
  27. 4:43
  28. 176
  29. 3:51
  30. 41
  31. 23
  32. 138
  33. 27
  34. 5:37
  35. 116
  36. 39.5
  37. 46.5
  38. 10:37
  39. 68
  40. 10:32

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