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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 340 · 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 7:01. What time will it show 36 minutes later? (a) 7:27 (b) 7:47 (c) 8:37 (d) 7:37
  2. 2.How many degrees does the hour hand of a clock turn in 86 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 46 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 12 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 146 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 23 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 47 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  12. 12.A clock shows 10:03. What time will it show 62 minutes later? (a) 10:55 (b) 11:05 (c) 12:05 (d) 11:15
  13. 13.How many degrees does the hour hand of a clock turn in 120 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
  17. 17.A clock shows 2:53. What time will it show 72 minutes later? (a) 4:15 (b) 5:05 (c) 3:55 (d) 4:05
  18. 18.How many degrees does the minute hand of a clock turn in 45 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 13 minutes? =
  20. 20.A clock shows 11:34. What time will it show 154 minutes later? (a) 2:18 (b) 1:58 (c) 2:08 (d) 3:08
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  22. 22.A clock shows 11:02. What time will it show 34 minutes later? (a) 12:36 (b) 11:36 (c) 11:46 (d) 11:26
  23. 23.How many degrees does the minute hand of a clock turn in 50 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 98 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  26. 26.A clock shows 3:57. What time will it show 138 minutes later? (a) 6:25 (b) 6:05 (c) 7:15 (d) 6:15
  27. 27.How many degrees does the minute hand of a clock turn in 19 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  29. 29.A clock shows 10:36. What time will it show 29 minutes later? (a) 12:05 (b) 10:55 (c) 11:15 (d) 11:05
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 33 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 112 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 45 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 69 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 52 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 38 minutes? =
  40. 40.A clock shows 1:42. What time will it show 78 minutes later? (a) 2:50 (b) 4:00 (c) 3:00 (d) 3:10

Answer key

  1. 7:37
  2. 43
  3. 276
  4. 72
  5. 73
  6. 155.5
  7. 97.5
  8. 138
  9. 116
  10. 23.5
  11. 0.5
  12. 11:05
  13. 60
  14. 30
  15. 81
  16. 216
  17. 4:05
  18. 270
  19. 78
  20. 2:08
  21. 124.5
  22. 11:36
  23. 300
  24. 49
  25. 143.5
  26. 6:15
  27. 114
  28. 86
  29. 11:05
  30. 6
  31. 98.5
  32. 198
  33. 56
  34. 58
  35. 22.5
  36. 139.5
  37. 34.5
  38. 312
  39. 228
  40. 3:00

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