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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 379 · 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 2:18? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 45 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  6. 6.A clock shows 7:57. What time will it show 109 minutes later? (a) 9:56 (b) 10:46 (c) 9:36 (d) 9:46
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 3 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  11. 11.A clock shows 10:20. What time will it show 128 minutes later? (a) 1:28 (b) 12:38 (c) 12:28 (d) 12:18
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 93 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 19 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 163 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  17. 17.A clock shows 4:53. What time will it show 48 minutes later? (a) 5:31 (b) 5:41 (c) 5:51 (d) 6:41
  18. 18.A clock shows 6:01. What time will it show 71 minutes later? (a) 7:12 (b) 8:12 (c) 7:22 (d) 7:02
  19. 19.A clock shows 12:36. What time will it show 96 minutes later? (a) 2:12 (b) 2:02 (c) 2:22 (d) 3:12
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 40 minutes? =
  22. 22.A clock shows 6:20. What time will it show 105 minutes later? (a) 7:55 (b) 8:15 (c) 8:05 (d) 9:05
  23. 23.A clock shows 4:32. What time will it show 22 minutes later? (a) 4:44 (b) 5:04 (c) 5:54 (d) 4:54
  24. 24.A clock shows 12:19. What time will it show 103 minutes later? (a) 2:12 (b) 1:52 (c) 3:02 (d) 2:02
  25. 25.How many degrees does the minute hand of a clock turn in 49 minutes? =
  26. 26.A clock shows 2:16. What time will it show 37 minutes later? (a) 2:43 (b) 3:03 (c) 3:53 (d) 2:53
  27. 27.How many degrees does the hour hand of a clock turn in 123 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 11 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 154 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 167 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 30 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  37. 37.A clock shows 1:28. What time will it show 74 minutes later? (a) 2:52 (b) 2:32 (c) 3:42 (d) 2:42
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =

Answer key

  1. 39
  2. 270
  3. 33.5
  4. 105.5
  5. 106.5
  6. 9:46
  7. 116
  8. 111
  9. 18
  10. 113
  11. 12:28
  12. 119
  13. 46.5
  14. 114
  15. 81.5
  16. 109
  17. 5:41
  18. 7:12
  19. 2:12
  20. 116
  21. 20
  22. 8:05
  23. 4:54
  24. 2:02
  25. 294
  26. 2:53
  27. 61.5
  28. 66
  29. 77
  30. 83.5
  31. 120.5
  32. 15
  33. 90
  34. 25
  35. 135.5
  36. 177
  37. 2:42
  38. 178.5
  39. 58.5
  40. 57

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