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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 688 · 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.How many degrees does the minute hand of a clock turn in 40 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 11 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  6. 6.A clock shows 3:11. What time will it show 93 minutes later? (a) 4:54 (b) 4:34 (c) 5:44 (d) 4:44
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  9. 9.A clock shows 4:55. What time will it show 158 minutes later? (a) 7:33 (b) 8:33 (c) 7:43 (d) 7:23
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 46 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  13. 13.A clock shows 8:22. What time will it show 117 minutes later? (a) 10:09 (b) 10:19 (c) 10:29 (d) 11:19
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  17. 17.A clock shows 8:09. What time will it show 61 minutes later? (a) 10:10 (b) 9:00 (c) 9:20 (d) 9:10
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  19. 19.A clock shows 12:26. What time will it show 63 minutes later? (a) 1:19 (b) 2:29 (c) 1:29 (d) 1:39
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:29? (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 11:11? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 58 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 56 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 13 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 27 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  30. 30.A clock shows 4:14. What time will it show 98 minutes later? (a) 6:02 (b) 5:52 (c) 5:42 (d) 6:52
  31. 31.A clock shows 12:10. What time will it show 35 minutes later? (a) 12:55 (b) 12:35 (c) 12:45 (d) 1:45
  32. 32.How many degrees does the minute hand of a clock turn in 15 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 23 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 47 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 10 minutes? =

Answer key

  1. 240
  2. 98
  3. 66
  4. 173.5
  5. 31
  6. 4:44
  7. 61.5
  8. 2.5
  9. 7:33
  10. 110
  11. 276
  12. 19
  13. 10:19
  14. 75
  15. 57
  16. 76
  17. 9:10
  18. 5.5
  19. 1:29
  20. 33.5
  21. 170.5
  22. 2.5
  23. 90.5
  24. 348
  25. 88
  26. 336
  27. 78
  28. 162
  29. 61
  30. 5:52
  31. 12:45
  32. 90
  33. 49
  34. 144.5
  35. 138
  36. 68
  37. 180
  38. 86
  39. 23.5
  40. 5

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