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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 720 · 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 11:27? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 78 minutes? =
  4. 4.A clock shows 12:21. What time will it show 43 minutes later? (a) 12:54 (b) 1:04 (c) 2:04 (d) 1:14
  5. 5.A clock shows 6:40. What time will it show 111 minutes later? (a) 8:41 (b) 9:31 (c) 8:21 (d) 8:31
  6. 6.A clock shows 11:24. What time will it show 132 minutes later? (a) 1:46 (b) 1:36 (c) 2:36 (d) 1:26
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  8. 8.A clock shows 3:38. What time will it show 116 minutes later? (a) 5:34 (b) 5:24 (c) 5:44 (d) 6:34
  9. 9.A clock shows 3:15. What time will it show 145 minutes later? (a) 5:30 (b) 6:40 (c) 5:40 (d) 5:50
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  11. 11.A clock shows 9:08. What time will it show 54 minutes later? (a) 11:02 (b) 10:02 (c) 10:12 (d) 9:52
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  14. 14.A clock shows 8:25. What time will it show 28 minutes later? (a) 8:43 (b) 9:03 (c) 8:53 (d) 9:53
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  16. 16.A clock shows 9:47. What time will it show 12 minutes later? (a) 9:49 (b) 10:59 (c) 9:59 (d) 10:09
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  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 5:30? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  22. 22.A clock shows 12:11. What time will it show 86 minutes later? (a) 1:37 (b) 2:37 (c) 1:47 (d) 1:27
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 16 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 128 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 105 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 21 minutes? =
  31. 31.A clock shows 8:26. What time will it show 36 minutes later? (a) 8:52 (b) 9:02 (c) 9:12 (d) 10:02
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  33. 33.A clock shows 2:41. What time will it show 25 minutes later? (a) 3:16 (b) 3:06 (c) 4:06 (d) 2:56
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 41 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  37. 37.A clock shows 12:43. What time will it show 74 minutes later? (a) 2:07 (b) 1:47 (c) 2:57 (d) 1:57
  38. 38.How many degrees does the minute hand of a clock turn in 55 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 43 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =

Answer key

  1. 178.5
  2. 16
  3. 39
  4. 1:04
  5. 8:31
  6. 1:36
  7. 71
  8. 5:34
  9. 5:40
  10. 41.5
  11. 10:02
  12. 146.5
  13. 42.5
  14. 8:53
  15. 15.5
  16. 9:59
  17. 21.5
  18. 18
  19. 15
  20. 50.5
  21. 150
  22. 1:37
  23. 162
  24. 96
  25. 92.5
  26. 64
  27. 102
  28. 52.5
  29. 157
  30. 126
  31. 9:02
  32. 173
  33. 3:06
  34. 54
  35. 246
  36. 13.5
  37. 1:57
  38. 330
  39. 21.5
  40. 72

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