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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 237 · 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 1:20? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  3. 3.A clock shows 2:43. What time will it show 81 minutes later? (a) 3:54 (b) 4:14 (c) 4:04 (d) 5:04
  4. 4.A clock shows 11:24. What time will it show 67 minutes later? (a) 12:41 (b) 12:21 (c) 12:31 (d) 1:31
  5. 5.A clock shows 3:36. What time will it show 33 minutes later? (a) 5:09 (b) 4:09 (c) 4:19 (d) 3:59
  6. 6.How many degrees does the hour hand of a clock turn in 24 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 5 minutes? =
  12. 12.A clock shows 7:08. What time will it show 165 minutes later? (a) 10:03 (b) 10:53 (c) 9:53 (d) 9:43
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 162 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 172 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 53 minutes? =
  17. 17.A clock shows 7:59. What time will it show 167 minutes later? (a) 11:46 (b) 10:36 (c) 10:46 (d) 10:56
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 11 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 39 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 21 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 105 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 14 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 34 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 29 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 43 minutes? =
  32. 32.A clock shows 8:08. What time will it show 102 minutes later? (a) 9:40 (b) 10:50 (c) 10:00 (d) 9:50
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  34. 34.A clock shows 2:37. What time will it show 155 minutes later? (a) 6:12 (b) 5:02 (c) 5:22 (d) 5:12
  35. 35.A clock shows 2:39. What time will it show 31 minutes later? (a) 3:00 (b) 4:10 (c) 3:10 (d) 3:20
  36. 36.A clock shows 1:49. What time will it show 70 minutes later? (a) 3:09 (b) 2:49 (c) 3:59 (d) 2:59
  37. 37.A clock shows 11:40. What time will it show 169 minutes later? (a) 2:19 (b) 2:39 (c) 2:29 (d) 3:29
  38. 38.How many degrees does the minute hand of a clock turn in 50 minutes? =
  39. 39.A clock shows 5:01. What time will it show 83 minutes later? (a) 7:24 (b) 6:34 (c) 6:24 (d) 6:14
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =

Answer key

  1. 80
  2. 140
  3. 4:04
  4. 12:31
  5. 4:09
  6. 12
  7. 27
  8. 130.5
  9. 149
  10. 38
  11. 30
  12. 9:53
  13. 11
  14. 81
  15. 86
  16. 26.5
  17. 10:46
  18. 154.5
  19. 66
  20. 234
  21. 126
  22. 14.5
  23. 52.5
  24. 7
  25. 17
  26. 147
  27. 107
  28. 14.5
  29. 90.5
  30. 126
  31. 21.5
  32. 9:50
  33. 164
  34. 5:12
  35. 3:10
  36. 2:59
  37. 2:29
  38. 300
  39. 6:24
  40. 113

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