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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 403 · 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 8:03. What time will it show 158 minutes later? (a) 10:41 (b) 10:31 (c) 10:51 (d) 11:41
  2. 2.How many degrees does the minute hand of a clock turn in 40 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 23 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  5. 5.A clock shows 2:30. What time will it show 139 minutes later? (a) 4:59 (b) 4:49 (c) 4:39 (d) 5:49
  6. 6.A clock shows 1:43. What time will it show 120 minutes later? (a) 3:53 (b) 4:43 (c) 3:33 (d) 3:43
  7. 7.How many degrees does the hour hand of a clock turn in 86 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 168 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 157 minutes? =
  16. 16.A clock shows 10:20. What time will it show 162 minutes later? (a) 2:02 (b) 1:02 (c) 1:12 (d) 12:52
  17. 17.A clock shows 4:41. What time will it show 113 minutes later? (a) 6:44 (b) 6:24 (c) 6:34 (d) 7:34
  18. 18.How many degrees does the minute hand of a clock turn in 47 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 180 minutes? =
  20. 20.A clock shows 11:18. What time will it show 120 minutes later? (a) 1:18 (b) 1:28 (c) 2:18 (d) 1:08
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  22. 22.A clock shows 10:08. What time will it show 87 minutes later? (a) 11:35 (b) 11:25 (c) 12:35 (d) 11:45
  23. 23.How many degrees does the hour hand of a clock turn in 167 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 93 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 28 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 88 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  31. 31.A clock shows 5:44. What time will it show 127 minutes later? (a) 7:41 (b) 8:01 (c) 7:51 (d) 8:51
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  33. 33.A clock shows 7:04. What time will it show 47 minutes later? (a) 7:41 (b) 8:01 (c) 8:51 (d) 7:51
  34. 34.A clock shows 7:54. What time will it show 136 minutes later? (a) 10:20 (b) 10:10 (c) 11:10 (d) 10:00
  35. 35.A clock shows 3:57. What time will it show 136 minutes later? (a) 6:13 (b) 6:03 (c) 6:23 (d) 7:13
  36. 36.A clock shows 9:50. What time will it show 23 minutes later? (a) 10:03 (b) 10:23 (c) 11:13 (d) 10:13
  37. 37.A clock shows 9:26. What time will it show 170 minutes later? (a) 12:16 (b) 12:06 (c) 1:16 (d) 12:26
  38. 38.How many degrees does the hour hand of a clock turn in 166 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =

Answer key

  1. 10:41
  2. 240
  3. 138
  4. 164.5
  5. 4:49
  6. 3:43
  7. 43
  8. 122
  9. 119.5
  10. 97.5
  11. 84
  12. 163.5
  13. 90
  14. 76.5
  15. 78.5
  16. 1:02
  17. 6:34
  18. 282
  19. 90
  20. 1:18
  21. 87.5
  22. 11:35
  23. 83.5
  24. 112.5
  25. 46.5
  26. 146
  27. 14
  28. 132
  29. 44
  30. 65
  31. 7:51
  32. 122.5
  33. 7:51
  34. 10:10
  35. 6:13
  36. 10:13
  37. 12:16
  38. 83
  39. 115.5
  40. 24

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