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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 81 · 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 10:50? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 15 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 56 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 109 minutes? =
  8. 8.A clock shows 4:00. What time will it show 29 minutes later? (a) 4:19 (b) 5:29 (c) 4:29 (d) 4:39
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 3 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 39 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 77 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  19. 19.A clock shows 4:53. What time will it show 146 minutes later? (a) 7:19 (b) 8:19 (c) 7:09 (d) 7:29
  20. 20.How many degrees does the minute hand of a clock turn in 13 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 177 minutes? =
  22. 22.A clock shows 10:43. What time will it show 31 minutes later? (a) 11:04 (b) 12:14 (c) 11:14 (d) 11:24
  23. 23.How many degrees does the hour hand of a clock turn in 113 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 43 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 39 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  28. 28.A clock shows 4:59. What time will it show 135 minutes later? (a) 7:24 (b) 8:14 (c) 7:14 (d) 7:04
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  32. 32.A clock shows 6:32. What time will it show 10 minutes later? (a) 6:52 (b) 7:42 (c) 6:42 (d) 6:32
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 55 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
  36. 36.A clock shows 9:29. What time will it show 124 minutes later? (a) 11:43 (b) 11:33 (c) 12:33 (d) 11:23
  37. 37.A clock shows 2:00. What time will it show 89 minutes later? (a) 3:19 (b) 4:29 (c) 3:39 (d) 3:29
  38. 38.How many degrees does the minute hand of a clock turn in 40 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 29 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 2 minutes? =

Answer key

  1. 25
  2. 7.5
  3. 23
  4. 24
  5. 113.5
  6. 336
  7. 54.5
  8. 4:29
  9. 63.5
  10. 18
  11. 174.5
  12. 19.5
  13. 165.5
  14. 65
  15. 38.5
  16. 89
  17. 162.5
  18. 65.5
  19. 7:19
  20. 78
  21. 88.5
  22. 11:14
  23. 56.5
  24. 21.5
  25. 143.5
  26. 234
  27. 19
  28. 7:14
  29. 45.5
  30. 83.5
  31. 27
  32. 6:42
  33. 121.5
  34. 27.5
  35. 204
  36. 11:33
  37. 3:29
  38. 240
  39. 174
  40. 12

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