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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 15 · 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 50 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  4. 4.A clock shows 11:12. What time will it show 116 minutes later? (a) 1:08 (b) 12:58 (c) 2:08 (d) 1:18
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  6. 6.A clock shows 9:18. What time will it show 97 minutes later? (a) 10:45 (b) 11:05 (c) 11:55 (d) 10:55
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  8. 8.A clock shows 6:15. What time will it show 141 minutes later? (a) 9:36 (b) 8:26 (c) 8:46 (d) 8:36
  9. 9.How many degrees does the minute hand of a clock turn in 35 minutes? =
  10. 10.A clock shows 2:13. What time will it show 104 minutes later? (a) 4:57 (b) 3:57 (c) 3:47 (d) 4:07
  11. 11.A clock shows 6:42. What time will it show 80 minutes later? (a) 7:52 (b) 8:12 (c) 8:02 (d) 9:02
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  16. 16.A clock shows 11:21. What time will it show 27 minutes later? (a) 12:48 (b) 11:58 (c) 11:38 (d) 11:48
  17. 17.How many degrees does the hour hand of a clock turn in 53 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 25 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 55 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  22. 22.A clock shows 3:38. What time will it show 29 minutes later? (a) 4:17 (b) 4:07 (c) 3:57 (d) 5:07
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 55 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 29 minutes? =
  26. 26.A clock shows 2:36. What time will it show 71 minutes later? (a) 3:47 (b) 3:37 (c) 4:47 (d) 3:57
  27. 27.A clock shows 9:44. What time will it show 138 minutes later? (a) 12:02 (b) 12:12 (c) 11:52 (d) 1:02
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 48 minutes? =
  30. 30.A clock shows 10:31. What time will it show 66 minutes later? (a) 11:27 (b) 11:37 (c) 12:37 (d) 11:47
  31. 31.How many degrees does the hour hand of a clock turn in 46 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  33. 33.A clock shows 9:14. What time will it show 27 minutes later? (a) 9:51 (b) 9:41 (c) 9:31 (d) 10:41
  34. 34.A clock shows 1:15. What time will it show 93 minutes later? (a) 2:38 (b) 2:58 (c) 2:48 (d) 3:48
  35. 35.How many degrees does the hour hand of a clock turn in 113 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  37. 37.A clock shows 11:04. What time will it show 112 minutes later? (a) 12:56 (b) 12:46 (c) 1:56 (d) 1:06
  38. 38.How many degrees does the minute hand of a clock turn in 42 minutes? =
  39. 39.A clock shows 1:22. What time will it show 72 minutes later? (a) 2:24 (b) 2:34 (c) 2:44 (d) 3:34
  40. 40.A clock shows 9:41. What time will it show 90 minutes later? (a) 12:11 (b) 11:21 (c) 11:01 (d) 11:11

Answer key

  1. 25
  2. 68.5
  3. 81.5
  4. 1:08
  5. 141
  6. 10:55
  7. 22
  8. 8:36
  9. 210
  10. 3:57
  11. 8:02
  12. 21
  13. 138
  14. 35.5
  15. 172.5
  16. 11:48
  17. 26.5
  18. 150
  19. 27.5
  20. 132.5
  21. 130.5
  22. 4:07
  23. 90
  24. 330
  25. 174
  26. 3:47
  27. 12:02
  28. 132.5
  29. 288
  30. 11:37
  31. 23
  32. 111
  33. 9:41
  34. 2:48
  35. 56.5
  36. 7.5
  37. 12:56
  38. 252
  39. 2:34
  40. 11:11

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