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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 182 · 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 5:26. What time will it show 151 minutes later? (a) 8:07 (b) 8:57 (c) 7:57 (d) 7:47
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 20 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 23 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 14 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 6 minutes? =
  16. 16.A clock shows 1:00. What time will it show 94 minutes later? (a) 2:44 (b) 2:24 (c) 2:34 (d) 3:34
  17. 17.A clock shows 3:25. What time will it show 72 minutes later? (a) 4:27 (b) 5:37 (c) 4:47 (d) 4:37
  18. 18.How many degrees does the minute hand of a clock turn in 13 minutes? =
  19. 19.A clock shows 1:24. What time will it show 29 minutes later? (a) 1:53 (b) 1:43 (c) 2:53 (d) 2:03
  20. 20.How many degrees does the hour hand of a clock turn in 87 minutes? =
  21. 21.A clock shows 9:39. What time will it show 13 minutes later? (a) 9:52 (b) 10:02 (c) 10:52 (d) 9:42
  22. 22.How many degrees does the hour hand of a clock turn in 48 minutes? =
  23. 23.A clock shows 12:07. What time will it show 39 minutes later? (a) 12:56 (b) 1:46 (c) 12:36 (d) 12:46
  24. 24.How many degrees does the minute hand of a clock turn in 46 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 15 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  29. 29.A clock shows 2:38. What time will it show 86 minutes later? (a) 4:14 (b) 3:54 (c) 5:04 (d) 4:04
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 26 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 51 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
  40. 40.A clock shows 5:01. What time will it show 55 minutes later? (a) 5:56 (b) 6:56 (c) 5:46 (d) 6:06

Answer key

  1. 7:57
  2. 29
  3. 120
  4. 138
  5. 50
  6. 57
  7. 151.5
  8. 46
  9. 140.5
  10. 13.5
  11. 44
  12. 84
  13. 146
  14. 60
  15. 36
  16. 2:34
  17. 4:37
  18. 78
  19. 1:53
  20. 43.5
  21. 9:52
  22. 24
  23. 12:46
  24. 276
  25. 128
  26. 90
  27. 39.5
  28. 135
  29. 4:04
  30. 46
  31. 92
  32. 13
  33. 120.5
  34. 136
  35. 33.5
  36. 155.5
  37. 25.5
  38. 11.5
  39. 108
  40. 5:56

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