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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 234 · 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 159 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 56 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 76 minutes? =
  4. 4.A clock shows 2:00. What time will it show 27 minutes later? (a) 2:37 (b) 2:17 (c) 3:27 (d) 2:27
  5. 5.A clock shows 8:52. What time will it show 105 minutes later? (a) 10:47 (b) 11:37 (c) 10:37 (d) 10:27
  6. 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 13 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  11. 11.A clock shows 5:18. What time will it show 47 minutes later? (a) 7:05 (b) 6:15 (c) 6:05 (d) 5:55
  12. 12.A clock shows 3:03. What time will it show 107 minutes later? (a) 4:50 (b) 4:40 (c) 5:50 (d) 5:00
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 15 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 9 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  18. 18.A clock shows 1:40. What time will it show 98 minutes later? (a) 4:18 (b) 3:18 (c) 3:08 (d) 3:28
  19. 19.A clock shows 2:00. What time will it show 89 minutes later? (a) 4:29 (b) 3:39 (c) 3:19 (d) 3:29
  20. 20.How many degrees does the minute hand of a clock turn in 10 minutes? =
  21. 21.A clock shows 12:30. What time will it show 17 minutes later? (a) 12:47 (b) 1:47 (c) 12:57 (d) 12:37
  22. 22.A clock shows 3:00. What time will it show 141 minutes later? (a) 5:21 (b) 5:11 (c) 6:21 (d) 5:31
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 42 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 125 minutes? =
  26. 26.A clock shows 1:23. What time will it show 86 minutes later? (a) 3:49 (b) 2:59 (c) 2:49 (d) 2:39
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 39 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 161 minutes? =
  31. 31.A clock shows 1:05. What time will it show 126 minutes later? (a) 3:21 (b) 4:11 (c) 3:01 (d) 3:11
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 51 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  37. 37.A clock shows 9:41. What time will it show 23 minutes later? (a) 9:54 (b) 10:14 (c) 10:04 (d) 11:04
  38. 38.A clock shows 3:11. What time will it show 153 minutes later? (a) 6:44 (b) 5:54 (c) 5:34 (d) 5:44
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 32 minutes? =

Answer key

  1. 79.5
  2. 336
  3. 38
  4. 2:27
  5. 10:37
  6. 216
  7. 78
  8. 157
  9. 53.5
  10. 60.5
  11. 6:05
  12. 4:50
  13. 128.5
  14. 90
  15. 47
  16. 54
  17. 69
  18. 3:18
  19. 3:29
  20. 60
  21. 12:47
  22. 5:21
  23. 29
  24. 252
  25. 62.5
  26. 2:49
  27. 160
  28. 234
  29. 98
  30. 80.5
  31. 3:11
  32. 126.5
  33. 61.5
  34. 49.5
  35. 306
  36. 87
  37. 10:04
  38. 5:44
  39. 55
  40. 192

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