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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 740 · 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.How many degrees does the hour hand of a clock turn in 46 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 129 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 14 minutes? =
  7. 7.A clock shows 9:10. What time will it show 162 minutes later? (a) 11:52 (b) 12:02 (c) 11:42 (d) 12:52
  8. 8.A clock shows 8:34. What time will it show 165 minutes later? (a) 11:29 (b) 12:19 (c) 11:09 (d) 11:19
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  10. 10.A clock shows 8:25. What time will it show 75 minutes later? (a) 9:30 (b) 9:50 (c) 10:40 (d) 9:40
  11. 11.How many degrees does the minute hand of a clock turn in 26 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 23 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 54 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  18. 18.A clock shows 7:16. What time will it show 32 minutes later? (a) 7:58 (b) 7:48 (c) 8:48 (d) 7:38
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 79 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 52 minutes? =
  22. 22.A clock shows 2:33. What time will it show 10 minutes later? (a) 2:53 (b) 2:43 (c) 3:43 (d) 2:33
  23. 23.A clock shows 7:48. What time will it show 91 minutes later? (a) 10:19 (b) 9:19 (c) 9:09 (d) 9:29
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 33 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  27. 27.A clock shows 12:19. What time will it show 31 minutes later? (a) 1:00 (b) 1:50 (c) 12:50 (d) 12:40
  28. 28.A clock shows 10:30. What time will it show 34 minutes later? (a) 11:14 (b) 11:04 (c) 12:04 (d) 10:54
  29. 29.A clock shows 10:54. What time will it show 39 minutes later? (a) 11:23 (b) 11:43 (c) 11:33 (d) 12:33
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 24 minutes? =
  34. 34.A clock shows 6:51. What time will it show 36 minutes later? (a) 8:27 (b) 7:37 (c) 7:27 (d) 7:17
  35. 35.How many degrees does the minute hand of a clock turn in 27 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 164 minutes? =
  37. 37.A clock shows 11:04. What time will it show 104 minutes later? (a) 12:58 (b) 12:48 (c) 1:48 (d) 12:38
  38. 38.How many degrees does the minute hand of a clock turn in 42 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 16 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =

Answer key

  1. 23
  2. 110.5
  3. 64.5
  4. 12.5
  5. 136.5
  6. 84
  7. 11:52
  8. 11:19
  9. 123.5
  10. 9:40
  11. 156
  12. 138
  13. 324
  14. 154
  15. 161.5
  16. 24.5
  17. 27.5
  18. 7:48
  19. 73.5
  20. 39.5
  21. 26
  22. 2:43
  23. 9:19
  24. 72.5
  25. 198
  26. 175
  27. 12:50
  28. 11:04
  29. 11:33
  30. 38
  31. 44
  32. 104.5
  33. 144
  34. 7:27
  35. 162
  36. 82
  37. 12:48
  38. 252
  39. 96
  40. 6.5

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