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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 93 · 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 125 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 15 minutes? =
  6. 6.A clock shows 4:24. What time will it show 70 minutes later? (a) 5:44 (b) 5:24 (c) 6:34 (d) 5:34
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 25 minutes? =
  10. 10.A clock shows 9:07. What time will it show 40 minutes later? (a) 10:47 (b) 9:47 (c) 9:57 (d) 9:37
  11. 11.How many degrees does the minute hand of a clock turn in 35 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  13. 13.A clock shows 6:23. What time will it show 155 minutes later? (a) 8:48 (b) 9:08 (c) 9:58 (d) 8:58
  14. 14.How many degrees does the hour hand of a clock turn in 109 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 41 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 34 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  21. 21.A clock shows 8:05. What time will it show 116 minutes later? (a) 9:51 (b) 10:01 (c) 10:11 (d) 11:01
  22. 22.A clock shows 9:21. What time will it show 84 minutes later? (a) 10:55 (b) 11:45 (c) 10:45 (d) 10:35
  23. 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 24 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 101 minutes? =
  27. 27.A clock shows 6:08. What time will it show 12 minutes later? (a) 6:20 (b) 6:30 (c) 6:10 (d) 7:20
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  31. 31.A clock shows 11:07. What time will it show 64 minutes later? (a) 12:01 (b) 12:21 (c) 1:11 (d) 12:11
  32. 32.How many degrees does the minute hand of a clock turn in 14 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  34. 34.A clock shows 9:46. What time will it show 76 minutes later? (a) 10:52 (b) 11:12 (c) 12:02 (d) 11:02
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  36. 36.A clock shows 8:38. What time will it show 152 minutes later? (a) 11:00 (b) 11:20 (c) 12:10 (d) 11:10
  37. 37.How many degrees does the hour hand of a clock turn in 112 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =

Answer key

  1. 62.5
  2. 19.5
  3. 116.5
  4. 102
  5. 7.5
  6. 5:34
  7. 138
  8. 83
  9. 12.5
  10. 9:47
  11. 210
  12. 123
  13. 8:58
  14. 54.5
  15. 246
  16. 32.5
  17. 17
  18. 8
  19. 121
  20. 91
  21. 10:01
  22. 10:45
  23. 306
  24. 144
  25. 142.5
  26. 50.5
  27. 6:20
  28. 166
  29. 54
  30. 49.5
  31. 12:11
  32. 84
  33. 41.5
  34. 11:02
  35. 158
  36. 11:10
  37. 56
  38. 80.5
  39. 6.5
  40. 12

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