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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 273 · 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 95 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 49 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 39 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 33 minutes? =
  7. 7.A clock shows 7:00. What time will it show 151 minutes later? (a) 9:41 (b) 9:21 (c) 9:31 (d) 10:31
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  9. 9.A clock shows 2:20. What time will it show 28 minutes later? (a) 2:38 (b) 2:58 (c) 2:48 (d) 3:48
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  11. 11.A clock shows 5:35. What time will it show 60 minutes later? (a) 6:25 (b) 6:35 (c) 7:35 (d) 6:45
  12. 12.A clock shows 1:55. What time will it show 13 minutes later? (a) 2:18 (b) 3:08 (c) 2:08 (d) 1:58
  13. 13.How many degrees does the hour hand of a clock turn in 65 minutes? =
  14. 14.A clock shows 2:01. What time will it show 19 minutes later? (a) 2:20 (b) 3:20 (c) 2:30 (d) 2:10
  15. 15.How many degrees does the hour hand of a clock turn in 100 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 111 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 108 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 76 minutes? =
  23. 23.A clock shows 5:25. What time will it show 101 minutes later? (a) 6:56 (b) 8:06 (c) 7:16 (d) 7:06
  24. 24.How many degrees does the hour hand of a clock turn in 168 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 27 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  27. 27.A clock shows 9:16. What time will it show 62 minutes later? (a) 10:28 (b) 10:18 (c) 10:08 (d) 11:18
  28. 28.A clock shows 9:57. What time will it show 77 minutes later? (a) 11:14 (b) 11:24 (c) 11:04 (d) 12:14
  29. 29.How many degrees does the hour hand of a clock turn in 37 minutes? =
  30. 30.A clock shows 9:34. What time will it show 46 minutes later? (a) 11:20 (b) 10:10 (c) 10:20 (d) 10:30
  31. 31.How many degrees does the minute hand of a clock turn in 25 minutes? =
  32. 32.A clock shows 4:42. What time will it show 167 minutes later? (a) 7:29 (b) 7:39 (c) 8:29 (d) 7:19
  33. 33.A clock shows 10:36. What time will it show 13 minutes later? (a) 10:59 (b) 11:49 (c) 10:39 (d) 10:49
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 127 minutes? =
  36. 36.A clock shows 11:31. What time will it show 135 minutes later? (a) 1:56 (b) 1:36 (c) 1:46 (d) 2:46
  37. 37.How many degrees does the hour hand of a clock turn in 74 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 81 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 29 minutes? =

Answer key

  1. 47.5
  2. 294
  3. 234
  4. 69.5
  5. 24.5
  6. 198
  7. 9:31
  8. 86.5
  9. 2:48
  10. 119
  11. 6:35
  12. 2:08
  13. 32.5
  14. 2:20
  15. 50
  16. 28
  17. 55.5
  18. 137
  19. 6.5
  20. 92.5
  21. 54
  22. 38
  23. 7:06
  24. 84
  25. 162
  26. 24
  27. 10:18
  28. 11:14
  29. 18.5
  30. 10:20
  31. 150
  32. 7:29
  33. 10:49
  34. 16.5
  35. 63.5
  36. 1:46
  37. 37
  38. 71.5
  39. 40.5
  40. 174

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