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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 855 · 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 17 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 2 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 60 minutes? =
  5. 5.A clock shows 1:57. What time will it show 107 minutes later? (a) 3:34 (b) 3:44 (c) 4:44 (d) 3:54
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 35 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  10. 10.A clock shows 6:09. What time will it show 152 minutes later? (a) 9:41 (b) 8:51 (c) 8:31 (d) 8:41
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 32 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 74 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  15. 15.A clock shows 11:04. What time will it show 14 minutes later? (a) 11:28 (b) 11:08 (c) 12:18 (d) 11:18
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  17. 17.A clock shows 1:43. What time will it show 97 minutes later? (a) 4:20 (b) 3:10 (c) 3:20 (d) 3:30
  18. 18.How many degrees does the minute hand of a clock turn in 33 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  20. 20.A clock shows 9:47. What time will it show 130 minutes later? (a) 12:07 (b) 11:47 (c) 12:57 (d) 11:57
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 24 minutes? =
  23. 23.A clock shows 12:19. What time will it show 151 minutes later? (a) 2:40 (b) 3:00 (c) 3:50 (d) 2:50
  24. 24.A clock shows 11:13. What time will it show 12 minutes later? (a) 12:25 (b) 11:35 (c) 11:15 (d) 11:25
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 19 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 13 minutes? =
  29. 29.A clock shows 8:31. What time will it show 84 minutes later? (a) 9:45 (b) 10:05 (c) 9:55 (d) 10:55
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  31. 31.A clock shows 12:44. What time will it show 104 minutes later? (a) 2:18 (b) 3:28 (c) 2:38 (d) 2:28
  32. 32.How many degrees does the minute hand of a clock turn in 54 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 53 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 22 minutes? =
  37. 37.A clock shows 2:03. What time will it show 30 minutes later? (a) 3:33 (b) 2:33 (c) 2:43 (d) 2:23
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 148 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 59 minutes? =

Answer key

  1. 102
  2. 8.5
  3. 12
  4. 30
  5. 3:44
  6. 69.5
  7. 17.5
  8. 130.5
  9. 176.5
  10. 8:41
  11. 65
  12. 192
  13. 37
  14. 146.5
  15. 11:18
  16. 98.5
  17. 3:20
  18. 198
  19. 111
  20. 11:57
  21. 149
  22. 144
  23. 2:50
  24. 11:25
  25. 171.5
  26. 94
  27. 114
  28. 78
  29. 9:55
  30. 84.5
  31. 2:28
  32. 324
  33. 132.5
  34. 318
  35. 59
  36. 132
  37. 2:33
  38. 85.5
  39. 74
  40. 29.5

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