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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 330 · 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 26 minutes? =
  2. 2.A clock shows 3:54. What time will it show 70 minutes later? (a) 5:14 (b) 5:04 (c) 6:04 (d) 4:54
  3. 3.How many degrees does the hour hand of a clock turn in 57 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 25 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 7 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 142 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 26 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 56 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 20 minutes? =
  16. 16.A clock shows 11:08. What time will it show 54 minutes later? (a) 12:02 (b) 12:12 (c) 11:52 (d) 1:02
  17. 17.How many degrees does the hour hand of a clock turn in 110 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 15 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  23. 23.A clock shows 12:18. What time will it show 76 minutes later? (a) 2:34 (b) 1:24 (c) 1:34 (d) 1:44
  24. 24.How many degrees does the hour hand of a clock turn in 54 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  27. 27.A clock shows 10:19. What time will it show 108 minutes later? (a) 1:07 (b) 11:57 (c) 12:07 (d) 12:17
  28. 28.How many degrees does the hour hand of a clock turn in 143 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  30. 30.A clock shows 6:06. What time will it show 20 minutes later? (a) 6:36 (b) 7:26 (c) 6:16 (d) 6:26
  31. 31.A clock shows 11:26. What time will it show 123 minutes later? (a) 1:29 (b) 1:19 (c) 2:29 (d) 1:39
  32. 32.How many degrees does the minute hand of a clock turn in 13 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 70 minutes? =
  36. 36.A clock shows 3:19. What time will it show 27 minutes later? (a) 3:56 (b) 4:46 (c) 3:36 (d) 3:46
  37. 37.How many degrees does the hour hand of a clock turn in 23 minutes? =
  38. 38.A clock shows 9:16. What time will it show 106 minutes later? (a) 10:52 (b) 11:12 (c) 12:02 (d) 11:02
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =

Answer key

  1. 156
  2. 5:04
  3. 28.5
  4. 95
  5. 72.5
  6. 18.5
  7. 150
  8. 141.5
  9. 42
  10. 12.5
  11. 71
  12. 13
  13. 150.5
  14. 28
  15. 120
  16. 12:02
  17. 55
  18. 172
  19. 125.5
  20. 90
  21. 92
  22. 155
  23. 1:34
  24. 27
  25. 82
  26. 124
  27. 12:07
  28. 71.5
  29. 4
  30. 6:26
  31. 1:29
  32. 78
  33. 106
  34. 86
  35. 35
  36. 3:46
  37. 11.5
  38. 11:02
  39. 60.5
  40. 46

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