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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 886 · 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.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 35 minutes? =
  4. 4.A clock shows 4:14. What time will it show 84 minutes later? (a) 5:38 (b) 5:48 (c) 6:38 (d) 5:28
  5. 5.How many degrees does the minute hand of a clock turn in 18 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 5 minutes? =
  8. 8.A clock shows 2:31. What time will it show 157 minutes later? (a) 6:08 (b) 5:18 (c) 5:08 (d) 4:58
  9. 9.How many degrees does the minute hand of a clock turn in 52 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 112 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 108 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  17. 17.A clock shows 11:51. What time will it show 93 minutes later? (a) 1:14 (b) 2:24 (c) 1:34 (d) 1:24
  18. 18.A clock shows 10:00. What time will it show 107 minutes later? (a) 11:37 (b) 11:47 (c) 12:47 (d) 11:57
  19. 19.How many degrees does the minute hand of a clock turn in 43 minutes? =
  20. 20.A clock shows 10:04. What time will it show 52 minutes later? (a) 10:46 (b) 11:56 (c) 10:56 (d) 11:06
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 55 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 149 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 27 minutes? =
  28. 28.A clock shows 8:38. What time will it show 60 minutes later? (a) 9:38 (b) 9:28 (c) 9:48 (d) 10:38
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 16 minutes? =
  31. 31.A clock shows 7:49. What time will it show 26 minutes later? (a) 8:25 (b) 9:15 (c) 8:15 (d) 8:05
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 29 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  37. 37.A clock shows 6:47. What time will it show 34 minutes later? (a) 7:21 (b) 7:11 (c) 8:21 (d) 7:31
  38. 38.How many degrees does the hour hand of a clock turn in 126 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 15 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 50 minutes? =

Answer key

  1. 147
  2. 54
  3. 17.5
  4. 5:38
  5. 108
  6. 163
  7. 30
  8. 5:08
  9. 312
  10. 56
  11. 31.5
  12. 54
  13. 175
  14. 91
  15. 159
  16. 131.5
  17. 1:24
  18. 11:47
  19. 258
  20. 10:56
  21. 160
  22. 163.5
  23. 89.5
  24. 330
  25. 173.5
  26. 74.5
  27. 162
  28. 9:38
  29. 39
  30. 96
  31. 8:15
  32. 169.5
  33. 174
  34. 86
  35. 75
  36. 80
  37. 7:21
  38. 63
  39. 90
  40. 300

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