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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 634 · 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.A clock shows 9:44. What time will it show 116 minutes later? (a) 12:40 (b) 11:50 (c) 11:40 (d) 11:30
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 24 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 53 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 2 minutes? =
  10. 10.A clock shows 8:28. What time will it show 19 minutes later? (a) 8:47 (b) 9:47 (c) 8:37 (d) 8:57
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  12. 12.A clock shows 8:35. What time will it show 82 minutes later? (a) 10:07 (b) 10:57 (c) 9:47 (d) 9:57
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  15. 15.A clock shows 7:45. What time will it show 103 minutes later? (a) 10:28 (b) 9:38 (c) 9:18 (d) 9:28
  16. 16.A clock shows 9:47. What time will it show 134 minutes later? (a) 11:51 (b) 12:11 (c) 1:01 (d) 12:01
  17. 17.A clock shows 11:36. What time will it show 149 minutes later? (a) 3:05 (b) 2:15 (c) 2:05 (d) 1:55
  18. 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  20. 20.A clock shows 7:51. What time will it show 121 minutes later? (a) 10:02 (b) 10:52 (c) 9:42 (d) 9:52
  21. 21.A clock shows 9:21. What time will it show 10 minutes later? (a) 10:31 (b) 9:21 (c) 9:31 (d) 9:41
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  23. 23.A clock shows 9:59. What time will it show 61 minutes later? (a) 12:00 (b) 11:10 (c) 10:50 (d) 11:00
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  25. 25.A clock shows 5:52. What time will it show 51 minutes later? (a) 6:43 (b) 6:33 (c) 6:53 (d) 7:43
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 9 minutes? =
  29. 29.A clock shows 12:58. What time will it show 75 minutes later? (a) 2:13 (b) 2:23 (c) 2:03 (d) 3:13
  30. 30.A clock shows 9:11. What time will it show 108 minutes later? (a) 10:59 (b) 11:09 (c) 10:49 (d) 11:59
  31. 31.A clock shows 11:53. What time will it show 118 minutes later? (a) 1:41 (b) 1:51 (c) 2:01 (d) 2:51
  32. 32.A clock shows 4:28. What time will it show 38 minutes later? (a) 6:06 (b) 5:16 (c) 4:56 (d) 5:06
  33. 33.How many degrees does the hour hand of a clock turn in 28 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 125 minutes? =
  35. 35.A clock shows 11:50. What time will it show 34 minutes later? (a) 12:14 (b) 12:34 (c) 12:24 (d) 1:24
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 52 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =

Answer key

  1. 11:40
  2. 107.5
  3. 2.5
  4. 75
  5. 88
  6. 15
  7. 144
  8. 26.5
  9. 12
  10. 8:47
  11. 156
  12. 9:57
  13. 7
  14. 13
  15. 9:28
  16. 12:01
  17. 2:05
  18. 102
  19. 67
  20. 9:52
  21. 9:31
  22. 119.5
  23. 11:00
  24. 13.5
  25. 6:43
  26. 2
  27. 3.5
  28. 54
  29. 2:13
  30. 10:59
  31. 1:51
  32. 5:06
  33. 14
  34. 62.5
  35. 12:24
  36. 10.5
  37. 26
  38. 118.5
  39. 109
  40. 145

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