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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 48 · 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.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 30 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 99 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  6. 6.A clock shows 10:56. What time will it show 81 minutes later? (a) 12:07 (b) 1:17 (c) 12:27 (d) 12:17
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  8. 8.A clock shows 10:05. What time will it show 45 minutes later? (a) 11:00 (b) 11:50 (c) 10:50 (d) 10:40
  9. 9.How many degrees does the hour hand of a clock turn in 48 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  12. 12.A clock shows 4:33. What time will it show 89 minutes later? (a) 7:02 (b) 5:52 (c) 6:02 (d) 6:12
  13. 13.How many degrees does the hour hand of a clock turn in 27 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 4 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
  16. 16.A clock shows 9:58. What time will it show 152 minutes later? (a) 12:20 (b) 12:30 (c) 12:40 (d) 1:30
  17. 17.How many degrees does the hour hand of a clock turn in 32 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 3 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 39 minutes? =
  21. 21.A clock shows 8:16. What time will it show 53 minutes later? (a) 9:09 (b) 10:09 (c) 9:19 (d) 8:59
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 35 minutes? =
  25. 25.A clock shows 7:48. What time will it show 53 minutes later? (a) 8:51 (b) 9:41 (c) 8:31 (d) 8:41
  26. 26.A clock shows 9:22. What time will it show 29 minutes later? (a) 9:51 (b) 10:01 (c) 9:41 (d) 10:51
  27. 27.How many degrees does the hour hand of a clock turn in 142 minutes? =
  28. 28.A clock shows 6:19. What time will it show 86 minutes later? (a) 7:55 (b) 7:35 (c) 8:45 (d) 7:45
  29. 29.A clock shows 7:06. What time will it show 103 minutes later? (a) 9:49 (b) 8:49 (c) 8:59 (d) 8:39
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 28 minutes? =
  33. 33.A clock shows 1:10. What time will it show 160 minutes later? (a) 3:40 (b) 4:50 (c) 4:00 (d) 3:50
  34. 34.A clock shows 1:45. What time will it show 29 minutes later? (a) 2:24 (b) 2:04 (c) 3:14 (d) 2:14
  35. 35.How many degrees does the minute hand of a clock turn in 57 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  39. 39.A clock shows 8:41. What time will it show 37 minutes later? (a) 9:08 (b) 10:18 (c) 9:18 (d) 9:28
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =

Answer key

  1. 30
  2. 36.5
  3. 180
  4. 49.5
  5. 131.5
  6. 12:17
  7. 142.5
  8. 10:50
  9. 24
  10. 24.5
  11. 80.5
  12. 6:02
  13. 13.5
  14. 24
  15. 174
  16. 12:30
  17. 16
  18. 18
  19. 26
  20. 234
  21. 9:09
  22. 166.5
  23. 76
  24. 17.5
  25. 8:41
  26. 9:51
  27. 71
  28. 7:45
  29. 8:49
  30. 41
  31. 58
  32. 168
  33. 3:50
  34. 2:14
  35. 342
  36. 50.5
  37. 69
  38. 14.5
  39. 9:18
  40. 45.5

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