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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 581 · 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.How many degrees does the hour hand of a clock turn in 59 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 33 minutes? =
  5. 5.A clock shows 8:18. What time will it show 50 minutes later? (a) 9:08 (b) 8:58 (c) 9:18 (d) 10:08
  6. 6.How many degrees does the minute hand of a clock turn in 8 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  8. 8.A clock shows 7:07. What time will it show 26 minutes later? (a) 7:33 (b) 7:43 (c) 8:33 (d) 7:23
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  10. 10.A clock shows 9:06. What time will it show 21 minutes later? (a) 9:27 (b) 9:37 (c) 10:27 (d) 9:17
  11. 11.How many degrees does the minute hand of a clock turn in 24 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 53 minutes? =
  13. 13.A clock shows 5:40. What time will it show 102 minutes later? (a) 7:12 (b) 7:22 (c) 8:22 (d) 7:32
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  16. 16.A clock shows 4:10. What time will it show 123 minutes later? (a) 6:13 (b) 6:03 (c) 6:23 (d) 7:13
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 84 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 31 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 9 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
  24. 24.A clock shows 9:08. What time will it show 139 minutes later? (a) 11:37 (b) 11:27 (c) 11:17 (d) 12:27
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 10 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 113 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 88 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  31. 31.A clock shows 3:48. What time will it show 150 minutes later? (a) 6:28 (b) 6:08 (c) 6:18 (d) 7:18
  32. 32.How many degrees does the minute hand of a clock turn in 54 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 78 minutes? =
  35. 35.A clock shows 6:55. What time will it show 139 minutes later? (a) 9:24 (b) 9:04 (c) 10:14 (d) 9:14
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  37. 37.A clock shows 10:55. What time will it show 103 minutes later? (a) 12:28 (b) 1:38 (c) 12:38 (d) 12:48
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 21 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =

Answer key

  1. 62.5
  2. 29.5
  3. 126.5
  4. 198
  5. 9:08
  6. 48
  7. 7
  8. 7:33
  9. 111.5
  10. 9:27
  11. 144
  12. 318
  13. 7:22
  14. 77.5
  15. 172
  16. 6:13
  17. 128
  18. 42
  19. 186
  20. 138
  21. 60
  22. 54
  23. 306
  24. 11:27
  25. 172.5
  26. 60
  27. 56.5
  28. 44
  29. 72
  30. 9
  31. 6:18
  32. 324
  33. 9.5
  34. 39
  35. 9:14
  36. 88.5
  37. 12:38
  38. 124.5
  39. 126
  40. 127

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