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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 47 · 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 14 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 86 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 17 minutes? =
  5. 5.A clock shows 11:17. What time will it show 20 minutes later? (a) 12:37 (b) 11:47 (c) 11:37 (d) 11:27
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 19 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 12 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 2 minutes? =
  14. 14.A clock shows 11:42. What time will it show 76 minutes later? (a) 1:58 (b) 12:58 (c) 1:08 (d) 12:48
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 40 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 123 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 8 minutes? =
  20. 20.A clock shows 3:00. What time will it show 29 minutes later? (a) 4:29 (b) 3:19 (c) 3:29 (d) 3:39
  21. 21.A clock shows 7:33. What time will it show 73 minutes later? (a) 9:46 (b) 8:36 (c) 8:46 (d) 8:56
  22. 22.A clock shows 4:48. What time will it show 152 minutes later? (a) 7:30 (b) 8:20 (c) 7:10 (d) 7:20
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
  25. 25.A clock shows 8:53. What time will it show 69 minutes later? (a) 10:02 (b) 9:52 (c) 11:02 (d) 10:12
  26. 26.A clock shows 9:14. What time will it show 107 minutes later? (a) 12:01 (b) 11:11 (c) 11:01 (d) 10:51
  27. 27.How many degrees does the hour hand of a clock turn in 150 minutes? =
  28. 28.A clock shows 2:34. What time will it show 32 minutes later? (a) 3:16 (b) 3:06 (c) 4:06 (d) 2:56
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  30. 30.A clock shows 3:03. What time will it show 154 minutes later? (a) 5:27 (b) 5:37 (c) 5:47 (d) 6:37
  31. 31.How many degrees does the minute hand of a clock turn in 5 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  35. 35.A clock shows 3:34. What time will it show 53 minutes later? (a) 4:17 (b) 4:27 (c) 5:27 (d) 4:37
  36. 36.A clock shows 2:10. What time will it show 129 minutes later? (a) 4:19 (b) 5:19 (c) 4:29 (d) 4:09
  37. 37.A clock shows 3:50. What time will it show 36 minutes later? (a) 4:36 (b) 4:16 (c) 5:26 (d) 4:26
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 36 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =

Answer key

  1. 84
  2. 120.5
  3. 43
  4. 8.5
  5. 11:37
  6. 122
  7. 147.5
  8. 114
  9. 98.5
  10. 85.5
  11. 72
  12. 32.5
  13. 12
  14. 12:58
  15. 166.5
  16. 20
  17. 61.5
  18. 18.5
  19. 48
  20. 3:29
  21. 8:46
  22. 7:20
  23. 143.5
  24. 161
  25. 10:02
  26. 11:01
  27. 75
  28. 3:06
  29. 169
  30. 5:37
  31. 30
  32. 95.5
  33. 69.5
  34. 113.5
  35. 4:27
  36. 4:19
  37. 4:26
  38. 108.5
  39. 18
  40. 43

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