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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 101 · 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 15 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 176 minutes? =
  3. 3.A clock shows 2:52. What time will it show 116 minutes later? (a) 4:58 (b) 4:38 (c) 4:48 (d) 5:48
  4. 4.How many degrees does the minute hand of a clock turn in 42 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 6 minutes? =
  6. 6.A clock shows 8:13. What time will it show 103 minutes later? (a) 10:06 (b) 9:46 (c) 9:56 (d) 10:56
  7. 7.A clock shows 9:29. What time will it show 134 minutes later? (a) 11:43 (b) 11:53 (c) 12:43 (d) 11:33
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  9. 9.A clock shows 10:57. What time will it show 129 minutes later? (a) 12:56 (b) 1:16 (c) 1:06 (d) 2:06
  10. 10.A clock shows 5:07. What time will it show 67 minutes later? (a) 7:14 (b) 6:24 (c) 6:04 (d) 6:14
  11. 11.How many degrees does the minute hand of a clock turn in 20 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 65 minutes? =
  14. 14.A clock shows 12:30. What time will it show 81 minutes later? (a) 2:51 (b) 1:51 (c) 1:41 (d) 2:01
  15. 15.How many degrees does the minute hand of a clock turn in 9 minutes? =
  16. 16.A clock shows 11:18. What time will it show 59 minutes later? (a) 12:27 (b) 12:07 (c) 12:17 (d) 1:17
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  19. 19.A clock shows 9:46. What time will it show 24 minutes later? (a) 10:00 (b) 10:10 (c) 10:20 (d) 11:10
  20. 20.A clock shows 12:25. What time will it show 43 minutes later? (a) 1:18 (b) 1:08 (c) 2:08 (d) 12:58
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 73 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  24. 24.A clock shows 3:50. What time will it show 157 minutes later? (a) 7:27 (b) 6:17 (c) 6:37 (d) 6:27
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  27. 27.A clock shows 7:29. What time will it show 82 minutes later? (a) 9:01 (b) 9:51 (c) 8:51 (d) 8:41
  28. 28.A clock shows 12:55. What time will it show 150 minutes later? (a) 3:15 (b) 4:25 (c) 3:25 (d) 3:35
  29. 29.How many degrees does the minute hand of a clock turn in 5 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  31. 31.A clock shows 7:15. What time will it show 81 minutes later? (a) 9:36 (b) 8:46 (c) 8:26 (d) 8:36
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 41 minutes? =
  34. 34.A clock shows 10:27. What time will it show 155 minutes later? (a) 12:52 (b) 1:12 (c) 1:02 (d) 2:02
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  36. 36.A clock shows 1:46. What time will it show 45 minutes later? (a) 2:21 (b) 2:41 (c) 2:31 (d) 3:31
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  38. 38.A clock shows 11:12. What time will it show 58 minutes later? (a) 12:10 (b) 12:20 (c) 12:00 (d) 1:10
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  40. 40.A clock shows 5:16. What time will it show 43 minutes later? (a) 5:49 (b) 6:59 (c) 5:59 (d) 6:09

Answer key

  1. 90
  2. 88
  3. 4:48
  4. 252
  5. 36
  6. 9:56
  7. 11:43
  8. 34.5
  9. 1:06
  10. 6:14
  11. 120
  12. 142.5
  13. 32.5
  14. 1:51
  15. 54
  16. 12:17
  17. 2
  18. 166
  19. 10:10
  20. 1:08
  21. 157.5
  22. 36.5
  23. 143.5
  24. 6:27
  25. 3.5
  26. 54
  27. 8:51
  28. 3:25
  29. 30
  30. 95.5
  31. 8:36
  32. 52.5
  33. 246
  34. 1:02
  35. 121
  36. 2:31
  37. 23
  38. 12:10
  39. 86.5
  40. 5:59

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