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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 980 · 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 10:35? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 119 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 35 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 118 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  11. 11.A clock shows 4:56. What time will it show 94 minutes later? (a) 6:40 (b) 7:30 (c) 6:30 (d) 6:20
  12. 12.How many degrees does the hour hand of a clock turn in 164 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 71 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  16. 16.A clock shows 3:21. What time will it show 21 minutes later? (a) 3:32 (b) 4:42 (c) 3:42 (d) 3:52
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 18 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 47 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 57 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.A clock shows 1:16. What time will it show 159 minutes later? (a) 4:55 (b) 3:55 (c) 4:05 (d) 3:45
  25. 25.A clock shows 9:16. What time will it show 144 minutes later? (a) 11:50 (b) 12:40 (c) 11:40 (d) 11:30
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 34 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 156 minutes? =
  31. 31.A clock shows 7:26. What time will it show 52 minutes later? (a) 8:28 (b) 9:18 (c) 8:18 (d) 8:08
  32. 32.A clock shows 1:34. What time will it show 115 minutes later? (a) 3:29 (b) 3:19 (c) 3:39 (d) 4:29
  33. 33.How many degrees does the minute hand of a clock turn in 31 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  35. 35.A clock shows 8:18. What time will it show 67 minutes later? (a) 9:25 (b) 9:15 (c) 10:25 (d) 9:35
  36. 36.A clock shows 3:40. What time will it show 45 minutes later? (a) 4:35 (b) 4:15 (c) 5:25 (d) 4:25
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 23 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 17 minutes? =

Answer key

  1. 107.5
  2. 59.5
  3. 105.5
  4. 52.5
  5. 30
  6. 2.5
  7. 179.5
  8. 210
  9. 59
  10. 75.5
  11. 6:30
  12. 82
  13. 151.5
  14. 35.5
  15. 76.5
  16. 3:42
  17. 102
  18. 108
  19. 122.5
  20. 28.5
  21. 282
  22. 28.5
  23. 78
  24. 3:55
  25. 11:40
  26. 9
  27. 204
  28. 1.5
  29. 13.5
  30. 78
  31. 8:18
  32. 3:29
  33. 186
  34. 119.5
  35. 9:25
  36. 4:25
  37. 84.5
  38. 179
  39. 138
  40. 102

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