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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 487 · 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 2 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 29 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 178 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  8. 8.A clock shows 8:03. What time will it show 65 minutes later? (a) 9:08 (b) 10:08 (c) 8:58 (d) 9:18
  9. 9.How many degrees does the minute hand of a clock turn in 27 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 155 minutes? =
  13. 13.A clock shows 9:24. What time will it show 143 minutes later? (a) 11:37 (b) 11:57 (c) 12:47 (d) 11:47
  14. 14.How many degrees does the hour hand of a clock turn in 135 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 156 minutes? =
  16. 16.A clock shows 4:53. What time will it show 108 minutes later? (a) 7:41 (b) 6:51 (c) 6:41 (d) 6:31
  17. 17.A clock shows 3:43. What time will it show 16 minutes later? (a) 4:09 (b) 3:59 (c) 3:49 (d) 4:59
  18. 18.How many degrees does the minute hand of a clock turn in 41 minutes? =
  19. 19.A clock shows 8:09. What time will it show 125 minutes later? (a) 11:14 (b) 10:14 (c) 10:24 (d) 10:04
  20. 20.How many degrees does the minute hand of a clock turn in 3 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 54 minutes? =
  24. 24.A clock shows 2:11. What time will it show 112 minutes later? (a) 4:13 (b) 3:53 (c) 5:03 (d) 4:03
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 93 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 8 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 48 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  32. 32.A clock shows 11:55. What time will it show 129 minutes later? (a) 1:54 (b) 2:14 (c) 2:04 (d) 3:04
  33. 33.A clock shows 3:27. What time will it show 156 minutes later? (a) 6:13 (b) 6:03 (c) 7:03 (d) 5:53
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  36. 36.A clock shows 1:46. What time will it show 57 minutes later? (a) 2:53 (b) 2:33 (c) 3:43 (d) 2:43
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  39. 39.A clock shows 8:16. What time will it show 135 minutes later? (a) 11:31 (b) 10:21 (c) 10:31 (d) 10:41
  40. 40.A clock shows 1:57. What time will it show 57 minutes later? (a) 2:44 (b) 2:54 (c) 3:04 (d) 3:54

Answer key

  1. 12
  2. 95.5
  3. 14.5
  4. 179
  5. 167
  6. 89
  7. 6.5
  8. 9:08
  9. 162
  10. 51.5
  11. 48
  12. 77.5
  13. 11:47
  14. 67.5
  15. 78
  16. 6:41
  17. 3:59
  18. 246
  19. 10:14
  20. 18
  21. 10
  22. 82
  23. 324
  24. 4:03
  25. 62
  26. 46.5
  27. 74.5
  28. 48
  29. 119.5
  30. 288
  31. 21.5
  32. 2:04
  33. 6:03
  34. 9
  35. 174
  36. 2:43
  37. 9.5
  38. 74.5
  39. 10:31
  40. 2:54

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