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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 44 · 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 hour hand of a clock turn in 27 minutes? =
  2. 2.A clock shows 12:26. What time will it show 108 minutes later? (a) 2:04 (b) 3:14 (c) 2:14 (d) 2:24
  3. 3.A clock shows 1:52. What time will it show 134 minutes later? (a) 3:56 (b) 4:06 (c) 5:06 (d) 4:16
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 15 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 20 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 164 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 47 minutes? =
  10. 10.A clock shows 10:19. What time will it show 159 minutes later? (a) 1:08 (b) 1:58 (c) 12:48 (d) 12:58
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  12. 12.A clock shows 9:57. What time will it show 85 minutes later? (a) 11:12 (b) 11:32 (c) 12:22 (d) 11:22
  13. 13.How many degrees does the hour hand of a clock turn in 114 minutes? =
  14. 14.A clock shows 4:30. What time will it show 166 minutes later? (a) 7:06 (b) 8:16 (c) 7:26 (d) 7:16
  15. 15.How many degrees does the minute hand of a clock turn in 38 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 41 minutes? =
  17. 17.A clock shows 10:54. What time will it show 167 minutes later? (a) 1:41 (b) 1:31 (c) 2:41 (d) 1:51
  18. 18.A clock shows 5:17. What time will it show 92 minutes later? (a) 6:39 (b) 6:59 (c) 7:49 (d) 6:49
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  20. 20.A clock shows 5:45. What time will it show 156 minutes later? (a) 8:21 (b) 9:21 (c) 8:11 (d) 8:31
  21. 21.How many degrees does the hour hand of a clock turn in 105 minutes? =
  22. 22.A clock shows 6:47. What time will it show 18 minutes later? (a) 8:05 (b) 7:15 (c) 7:05 (d) 6:55
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 42 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 6 minutes? =
  28. 28.A clock shows 5:12. What time will it show 40 minutes later? (a) 6:52 (b) 5:42 (c) 5:52 (d) 6:02
  29. 29.A clock shows 12:55. What time will it show 39 minutes later? (a) 1:44 (b) 1:24 (c) 2:34 (d) 1:34
  30. 30.A clock shows 4:21. What time will it show 43 minutes later? (a) 5:04 (b) 5:14 (c) 4:54 (d) 6:04
  31. 31.A clock shows 11:47. What time will it show 29 minutes later? (a) 12:16 (b) 12:26 (c) 1:16 (d) 12:06
  32. 32.How many degrees does the hour hand of a clock turn in 177 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 157 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  37. 37.A clock shows 4:08. What time will it show 60 minutes later? (a) 5:18 (b) 6:08 (c) 4:58 (d) 5:08
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  39. 39.A clock shows 8:46. What time will it show 14 minutes later? (a) 9:10 (b) 10:00 (c) 9:00 (d) 8:50
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =

Answer key

  1. 13.5
  2. 2:14
  3. 4:06
  4. 102
  5. 1.5
  6. 90
  7. 120
  8. 82
  9. 282
  10. 12:58
  11. 26.5
  12. 11:22
  13. 57
  14. 7:16
  15. 228
  16. 20.5
  17. 1:41
  18. 6:49
  19. 35.5
  20. 8:21
  21. 52.5
  22. 7:05
  23. 78
  24. 129.5
  25. 141.5
  26. 21
  27. 36
  28. 5:52
  29. 1:34
  30. 5:04
  31. 12:16
  32. 88.5
  33. 78.5
  34. 133.5
  35. 98.5
  36. 102.5
  37. 5:08
  38. 22.5
  39. 9:00
  40. 64

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