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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 445 · 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 6:21. What time will it show 101 minutes later? (a) 8:12 (b) 7:52 (c) 9:02 (d) 8:02
  2. 2.How many degrees does the minute hand of a clock turn in 40 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 111 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 35 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  6. 6.A clock shows 4:31. What time will it show 94 minutes later? (a) 7:05 (b) 5:55 (c) 6:05 (d) 6:15
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 52 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 146 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 68 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  15. 15.A clock shows 2:33. What time will it show 136 minutes later? (a) 4:39 (b) 4:49 (c) 5:49 (d) 4:59
  16. 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 51 minutes? =
  18. 18.A clock shows 9:09. What time will it show 128 minutes later? (a) 11:07 (b) 12:17 (c) 11:17 (d) 11:27
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 19 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 77 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 86 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  28. 28.A clock shows 2:07. What time will it show 39 minutes later? (a) 2:36 (b) 2:56 (c) 2:46 (d) 3:46
  29. 29.How many degrees does the hour hand of a clock turn in 47 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 8 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 27 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 65 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 28 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  36. 36.A clock shows 1:30. What time will it show 164 minutes later? (a) 4:24 (b) 5:14 (c) 4:14 (d) 4:04
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 106 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 85 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =

Answer key

  1. 8:02
  2. 240
  3. 55.5
  4. 210
  5. 154.5
  6. 6:05
  7. 30.5
  8. 42.5
  9. 83.5
  10. 312
  11. 102
  12. 73
  13. 34
  14. 111.5
  15. 4:49
  16. 60
  17. 25.5
  18. 11:17
  19. 64
  20. 114
  21. 30
  22. 2.5
  23. 6.5
  24. 38.5
  25. 43
  26. 76.5
  27. 31.5
  28. 2:46
  29. 23.5
  30. 75.5
  31. 48
  32. 13.5
  33. 32.5
  34. 14
  35. 18.5
  36. 4:14
  37. 131
  38. 53
  39. 42.5
  40. 36.5

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