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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 393 · 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 6:13? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 123 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 34 minutes? =
  4. 4.A clock shows 3:58. What time will it show 59 minutes later? (a) 5:07 (b) 4:57 (c) 5:57 (d) 4:47
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  6. 6.A clock shows 12:11. What time will it show 72 minutes later? (a) 1:13 (b) 1:23 (c) 2:23 (d) 1:33
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 30 minutes? =
  10. 10.A clock shows 12:58. What time will it show 65 minutes later? (a) 3:03 (b) 2:03 (c) 1:53 (d) 2:13
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  12. 12.A clock shows 1:45. What time will it show 158 minutes later? (a) 4:13 (b) 4:33 (c) 5:23 (d) 4:23
  13. 13.How many degrees does the hour hand of a clock turn in 42 minutes? =
  14. 14.A clock shows 12:57. What time will it show 21 minutes later? (a) 1:18 (b) 1:28 (c) 1:08 (d) 2:18
  15. 15.A clock shows 1:56. What time will it show 140 minutes later? (a) 4:26 (b) 4:16 (c) 5:16 (d) 4:06
  16. 16.A clock shows 12:05. What time will it show 60 minutes later? (a) 12:55 (b) 1:15 (c) 2:05 (d) 1:05
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  18. 18.A clock shows 9:59. What time will it show 132 minutes later? (a) 12:01 (b) 12:11 (c) 1:11 (d) 12:21
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 47 minutes? =
  22. 22.A clock shows 6:00. What time will it show 38 minutes later? (a) 6:48 (b) 7:38 (c) 6:38 (d) 6:28
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  24. 24.A clock shows 8:53. What time will it show 125 minutes later? (a) 10:58 (b) 10:48 (c) 11:58 (d) 11:08
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  26. 26.A clock shows 7:56. What time will it show 155 minutes later? (a) 10:31 (b) 11:31 (c) 10:21 (d) 10:41
  27. 27.A clock shows 1:28. What time will it show 13 minutes later? (a) 1:51 (b) 1:41 (c) 1:31 (d) 2:41
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  29. 29.A clock shows 12:37. What time will it show 93 minutes later? (a) 3:10 (b) 2:00 (c) 2:10 (d) 2:20
  30. 30.How many degrees does the hour hand of a clock turn in 66 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 12 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  36. 36.A clock shows 8:47. What time will it show 38 minutes later? (a) 9:25 (b) 9:15 (c) 9:35 (d) 10:25
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 57 minutes? =
  40. 40.A clock shows 8:33. What time will it show 143 minutes later? (a) 10:46 (b) 11:06 (c) 11:56 (d) 10:56

Answer key

  1. 108.5
  2. 61.5
  3. 204
  4. 4:57
  5. 133.5
  6. 1:23
  7. 113
  8. 142
  9. 180
  10. 2:03
  11. 138.5
  12. 4:23
  13. 21
  14. 1:18
  15. 4:16
  16. 1:05
  17. 9.5
  18. 12:11
  19. 103
  20. 148.5
  21. 282
  22. 6:38
  23. 61.5
  24. 10:58
  25. 88
  26. 10:31
  27. 1:41
  28. 151
  29. 2:10
  30. 33
  31. 72
  32. 113.5
  33. 54.5
  34. 174
  35. 8
  36. 9:25
  37. 130.5
  38. 141
  39. 28.5
  40. 10:56

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