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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 780 · 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 5:20. What time will it show 38 minutes later? (a) 5:48 (b) 5:58 (c) 6:58 (d) 6:08
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  3. 3.A clock shows 2:29. What time will it show 61 minutes later? (a) 3:40 (b) 3:30 (c) 4:30 (d) 3:20
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 58 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 46 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  11. 11.A clock shows 6:00. What time will it show 89 minutes later? (a) 8:29 (b) 7:29 (c) 7:39 (d) 7:19
  12. 12.A clock shows 10:05. What time will it show 72 minutes later? (a) 11:17 (b) 11:27 (c) 11:07 (d) 12:17
  13. 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
  14. 14.A clock shows 10:52. What time will it show 141 minutes later? (a) 1:23 (b) 1:13 (c) 2:13 (d) 1:03
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  17. 17.A clock shows 7:02. What time will it show 169 minutes later? (a) 10:51 (b) 9:41 (c) 9:51 (d) 10:01
  18. 18.How many degrees does the hour hand of a clock turn in 112 minutes? =
  19. 19.A clock shows 6:12. What time will it show 37 minutes later? (a) 6:49 (b) 6:59 (c) 6:39 (d) 7:49
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  22. 22.A clock shows 10:23. What time will it show 30 minutes later? (a) 11:53 (b) 11:03 (c) 10:43 (d) 10:53
  23. 23.A clock shows 4:49. What time will it show 159 minutes later? (a) 7:18 (b) 7:28 (c) 7:38 (d) 8:28
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 25 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 49 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 12 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  31. 31.A clock shows 3:32. What time will it show 146 minutes later? (a) 6:08 (b) 5:58 (c) 6:58 (d) 5:48
  32. 32.How many degrees does the hour hand of a clock turn in 131 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 164 minutes? =
  35. 35.A clock shows 9:53. What time will it show 17 minutes later? (a) 10:10 (b) 11:10 (c) 10:20 (d) 10:00
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 28 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =

Answer key

  1. 5:58
  2. 95
  3. 3:30
  4. 150
  5. 42
  6. 176.5
  7. 29
  8. 276
  9. 38.5
  10. 37.5
  11. 7:29
  12. 11:17
  13. 60
  14. 1:13
  15. 35
  16. 153
  17. 9:51
  18. 56
  19. 6:49
  20. 166
  21. 24.5
  22. 10:53
  23. 7:28
  24. 22
  25. 12.5
  26. 24.5
  27. 46
  28. 164
  29. 6
  30. 134.5
  31. 5:58
  32. 65.5
  33. 8
  34. 82
  35. 10:10
  36. 40.5
  37. 8
  38. 132
  39. 14
  40. 45.5

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