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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 276 · 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 8:15. What time will it show 157 minutes later? (a) 11:02 (b) 10:42 (c) 11:52 (d) 10:52
  2. 2.How many degrees does the minute hand of a clock turn in 24 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 29 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 13 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 174 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 50 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 114 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 144 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 33 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  15. 15.A clock shows 12:33. What time will it show 130 minutes later? (a) 2:43 (b) 2:33 (c) 2:53 (d) 3:43
  16. 16.How many degrees does the hour hand of a clock turn in 99 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  19. 19.A clock shows 2:41. What time will it show 149 minutes later? (a) 5:00 (b) 5:10 (c) 6:10 (d) 5:20
  20. 20.A clock shows 12:55. What time will it show 130 minutes later? (a) 3:05 (b) 4:05 (c) 3:15 (d) 2:55
  21. 21.A clock shows 5:11. What time will it show 23 minutes later? (a) 5:44 (b) 5:24 (c) 5:34 (d) 6:34
  22. 22.A clock shows 12:29. What time will it show 148 minutes later? (a) 3:57 (b) 3:07 (c) 2:57 (d) 2:47
  23. 23.How many degrees does the minute hand of a clock turn in 10 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 17 minutes? =
  26. 26.A clock shows 7:54. What time will it show 58 minutes later? (a) 9:52 (b) 8:42 (c) 8:52 (d) 9:02
  27. 27.A clock shows 3:57. What time will it show 147 minutes later? (a) 7:24 (b) 6:24 (c) 6:14 (d) 6:34
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 2 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 36 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  37. 37.A clock shows 9:49. What time will it show 56 minutes later? (a) 10:45 (b) 10:55 (c) 10:35 (d) 11:45
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 9 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =

Answer key

  1. 10:52
  2. 144
  3. 49
  4. 153
  5. 80
  6. 174
  7. 6.5
  8. 14
  9. 87
  10. 25
  11. 57
  12. 72
  13. 198
  14. 52
  15. 2:43
  16. 49.5
  17. 161.5
  18. 138
  19. 5:10
  20. 3:05
  21. 5:34
  22. 2:57
  23. 60
  24. 98
  25. 102
  26. 8:52
  27. 6:24
  28. 162
  29. 12
  30. 57.5
  31. 143.5
  32. 79
  33. 173.5
  34. 216
  35. 162
  36. 83
  37. 10:45
  38. 124
  39. 54
  40. 127

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