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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 416 · 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 minute hand of a clock turn in 8 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 136 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 48 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 112 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 51 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 25 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 52 minutes? =
  8. 8.A clock shows 2:14. What time will it show 139 minutes later? (a) 4:43 (b) 4:23 (c) 4:33 (d) 5:33
  9. 9.How many degrees does the minute hand of a clock turn in 24 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  12. 12.A clock shows 9:03. What time will it show 71 minutes later? (a) 10:24 (b) 10:04 (c) 10:14 (d) 11:14
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  15. 15.A clock shows 6:23. What time will it show 70 minutes later? (a) 7:43 (b) 8:33 (c) 7:33 (d) 7:23
  16. 16.How many degrees does the minute hand of a clock turn in 46 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 33 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  20. 20.A clock shows 10:22. What time will it show 32 minutes later? (a) 11:54 (b) 10:44 (c) 10:54 (d) 11:04
  21. 21.How many degrees does the hour hand of a clock turn in 141 minutes? =
  22. 22.A clock shows 5:31. What time will it show 59 minutes later? (a) 6:40 (b) 6:30 (c) 6:20 (d) 7:30
  23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 123 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  30. 30.A clock shows 2:10. What time will it show 142 minutes later? (a) 5:32 (b) 4:42 (c) 4:32 (d) 4:22
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 30 minutes? =
  33. 33.A clock shows 6:08. What time will it show 11 minutes later? (a) 6:19 (b) 7:19 (c) 6:09 (d) 6:29
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  35. 35.A clock shows 9:17. What time will it show 83 minutes later? (a) 10:40 (b) 10:50 (c) 11:40 (d) 10:30
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 27 minutes? =

Answer key

  1. 48
  2. 68
  3. 288
  4. 56
  5. 25.5
  6. 12.5
  7. 26
  8. 4:33
  9. 144
  10. 154.5
  11. 105.5
  12. 10:14
  13. 101.5
  14. 8
  15. 7:33
  16. 276
  17. 156
  18. 198
  19. 132
  20. 10:54
  21. 70.5
  22. 6:30
  23. 114
  24. 70.5
  25. 179.5
  26. 67.5
  27. 144.5
  28. 61.5
  29. 7
  30. 4:32
  31. 149
  32. 180
  33. 6:19
  34. 84.5
  35. 10:40
  36. 123
  37. 50.5
  38. 61
  39. 161.5
  40. 13.5

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