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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 306 · 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 5:59. What time will it show 155 minutes later? (a) 8:24 (b) 8:34 (c) 9:34 (d) 8:44
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 15 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 10 minutes? =
  7. 7.A clock shows 4:40. What time will it show 52 minutes later? (a) 5:32 (b) 5:22 (c) 5:42 (d) 6:32
  8. 8.A clock shows 12:34. What time will it show 15 minutes later? (a) 12:39 (b) 12:59 (c) 12:49 (d) 1:49
  9. 9.A clock shows 11:52. What time will it show 117 minutes later? (a) 1:59 (b) 2:49 (c) 1:49 (d) 1:39
  10. 10.A clock shows 9:44. What time will it show 20 minutes later? (a) 11:04 (b) 10:14 (c) 9:54 (d) 10:04
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  12. 12.A clock shows 7:00. What time will it show 14 minutes later? (a) 7:24 (b) 7:04 (c) 7:14 (d) 8:14
  13. 13.How many degrees does the hour hand of a clock turn in 159 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 14 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 40 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 17 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 146 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 116 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  24. 24.A clock shows 4:01. What time will it show 69 minutes later? (a) 5:00 (b) 5:10 (c) 6:10 (d) 5:20
  25. 25.How many degrees does the hour hand of a clock turn in 68 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 149 minutes? =
  27. 27.A clock shows 8:25. What time will it show 99 minutes later? (a) 10:04 (b) 9:54 (c) 10:14 (d) 11:04
  28. 28.A clock shows 8:11. What time will it show 127 minutes later? (a) 10:18 (b) 10:08 (c) 11:18 (d) 10:28
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  30. 30.A clock shows 12:49. What time will it show 130 minutes later? (a) 3:59 (b) 2:59 (c) 2:49 (d) 3:09
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 31 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 73 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 35 minutes? =
  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 1:49? (in degrees) =
  37. 37.A clock shows 2:25. What time will it show 52 minutes later? (a) 4:17 (b) 3:27 (c) 3:07 (d) 3:17
  38. 38.A clock shows 10:27. What time will it show 162 minutes later? (a) 1:09 (b) 1:19 (c) 12:59 (d) 2:09
  39. 39.How many degrees does the minute hand of a clock turn in 56 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =

Answer key

  1. 8:34
  2. 14
  3. 18.5
  4. 30
  5. 90
  6. 60
  7. 5:32
  8. 12:49
  9. 1:49
  10. 10:04
  11. 151.5
  12. 7:14
  13. 79.5
  14. 84
  15. 20
  16. 84.5
  17. 102
  18. 111.5
  19. 73
  20. 58
  21. 113.5
  22. 22.5
  23. 13
  24. 5:10
  25. 34
  26. 74.5
  27. 10:04
  28. 10:18
  29. 134
  30. 2:59
  31. 145.5
  32. 15.5
  33. 36.5
  34. 17.5
  35. 246
  36. 120.5
  37. 3:17
  38. 1:09
  39. 336
  40. 8.5

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