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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 767 · 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 3:32. What time will it show 161 minutes later? (a) 6:23 (b) 6:13 (c) 6:03 (d) 7:13
  2. 2.How many degrees does the hour hand of a clock turn in 69 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 12 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  5. 5.A clock shows 1:35. What time will it show 45 minutes later? (a) 2:20 (b) 2:10 (c) 2:30 (d) 3:20
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  8. 8.A clock shows 4:22. What time will it show 43 minutes later? (a) 4:55 (b) 6:05 (c) 5:15 (d) 5:05
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 81 minutes? =
  12. 12.A clock shows 11:26. What time will it show 108 minutes later? (a) 2:14 (b) 1:04 (c) 1:14 (d) 1:24
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 26 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 51 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 171 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 128 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  21. 21.A clock shows 1:01. What time will it show 36 minutes later? (a) 2:37 (b) 1:37 (c) 1:47 (d) 1:27
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 118 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 40 minutes? =
  25. 25.A clock shows 7:31. What time will it show 17 minutes later? (a) 7:48 (b) 7:58 (c) 7:38 (d) 8:48
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 138 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 84 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 121 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  32. 32.A clock shows 1:20. What time will it show 137 minutes later? (a) 4:37 (b) 3:47 (c) 3:27 (d) 3:37
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 12 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  36. 36.A clock shows 2:49. What time will it show 83 minutes later? (a) 4:22 (b) 4:12 (c) 4:02 (d) 5:12
  37. 37.How many degrees does the hour hand of a clock turn in 21 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =

Answer key

  1. 6:13
  2. 34.5
  3. 72
  4. 102
  5. 2:20
  6. 81
  7. 35.5
  8. 5:05
  9. 94
  10. 133
  11. 40.5
  12. 1:14
  13. 80
  14. 156
  15. 306
  16. 85.5
  17. 64
  18. 38
  19. 58
  20. 15
  21. 1:37
  22. 10.5
  23. 59
  24. 240
  25. 7:48
  26. 76.5
  27. 69
  28. 42
  29. 60.5
  30. 69
  31. 141
  32. 3:37
  33. 157
  34. 6
  35. 130.5
  36. 4:12
  37. 10.5
  38. 27.5
  39. 81.5
  40. 30.5

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