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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 789 · 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.A clock shows 7:31. What time will it show 77 minutes later? (a) 8:48 (b) 9:48 (c) 8:38 (d) 8:58
  2. 2.How many degrees does the hour hand of a clock turn in 16 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 35 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 85 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 9 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 84 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  13. 13.A clock shows 3:01. What time will it show 50 minutes later? (a) 4:01 (b) 3:51 (c) 3:41 (d) 4:51
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 41 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 88 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 24 minutes? =
  20. 20.A clock shows 5:11. What time will it show 127 minutes later? (a) 7:18 (b) 7:28 (c) 8:18 (d) 7:08
  21. 21.A clock shows 7:56. What time will it show 28 minutes later? (a) 8:24 (b) 9:24 (c) 8:14 (d) 8:34
  22. 22.A clock shows 2:45. What time will it show 125 minutes later? (a) 5:00 (b) 5:50 (c) 4:40 (d) 4:50
  23. 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
  24. 24.A clock shows 5:53. What time will it show 94 minutes later? (a) 7:17 (b) 7:27 (c) 7:37 (d) 8:27
  25. 25.How many degrees does the hour hand of a clock turn in 24 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 129 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  28. 28.A clock shows 3:58. What time will it show 83 minutes later? (a) 5:21 (b) 5:31 (c) 6:21 (d) 5:11
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  30. 30.A clock shows 5:28. What time will it show 90 minutes later? (a) 7:58 (b) 7:08 (c) 6:58 (d) 6:48
  31. 31.A clock shows 6:38. What time will it show 123 minutes later? (a) 8:51 (b) 8:41 (c) 8:31 (d) 9:41
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  33. 33.A clock shows 1:07. What time will it show 34 minutes later? (a) 1:51 (b) 1:31 (c) 2:41 (d) 1:41
  34. 34.A clock shows 1:37. What time will it show 47 minutes later? (a) 2:14 (b) 2:24 (c) 3:24 (d) 2:34
  35. 35.How many degrees does the hour hand of a clock turn in 98 minutes? =
  36. 36.A clock shows 6:32. What time will it show 19 minutes later? (a) 7:01 (b) 7:51 (c) 6:51 (d) 6:41
  37. 37.A clock shows 5:24. What time will it show 135 minutes later? (a) 8:39 (b) 7:39 (c) 7:29 (d) 7:49
  38. 38.A clock shows 3:11. What time will it show 20 minutes later? (a) 3:41 (b) 4:31 (c) 3:31 (d) 3:21
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =

Answer key

  1. 8:48
  2. 8
  3. 56
  4. 210
  5. 42.5
  6. 40.5
  7. 21.5
  8. 54
  9. 71
  10. 42
  11. 43
  12. 9
  13. 3:51
  14. 35
  15. 246
  16. 164.5
  17. 44
  18. 135.5
  19. 144
  20. 7:18
  21. 8:24
  22. 4:50
  23. 306
  24. 7:27
  25. 12
  26. 64.5
  27. 85
  28. 5:21
  29. 99
  30. 6:58
  31. 8:41
  32. 132.5
  33. 1:41
  34. 2:24
  35. 49
  36. 6:51
  37. 7:39
  38. 3:31
  39. 153
  40. 111

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