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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 816 · 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 38 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 47 minutes? =
  3. 3.A clock shows 3:33. What time will it show 111 minutes later? (a) 5:34 (b) 6:24 (c) 5:24 (d) 5:14
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 43 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 27 minutes? =
  7. 7.A clock shows 6:19. What time will it show 21 minutes later? (a) 6:30 (b) 7:40 (c) 6:40 (d) 6:50
  8. 8.How many degrees does the hour hand of a clock turn in 99 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 156 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 15 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 21 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 100 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 25 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 36 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 19 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 57 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 2 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  26. 26.A clock shows 8:48. What time will it show 81 minutes later? (a) 10:19 (b) 11:09 (c) 10:09 (d) 9:59
  27. 27.A clock shows 1:30. What time will it show 129 minutes later? (a) 4:39 (b) 3:39 (c) 3:49 (d) 3:29
  28. 28.A clock shows 5:09. What time will it show 12 minutes later? (a) 6:21 (b) 5:31 (c) 5:11 (d) 5:21
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  30. 30.A clock shows 10:06. What time will it show 20 minutes later? (a) 10:36 (b) 10:16 (c) 11:26 (d) 10:26
  31. 31.A clock shows 4:48. What time will it show 39 minutes later? (a) 5:37 (b) 5:17 (c) 5:27 (d) 6:27
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  33. 33.A clock shows 6:12. What time will it show 141 minutes later? (a) 9:33 (b) 8:33 (c) 8:23 (d) 8:43
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 58 minutes? =

Answer key

  1. 19
  2. 282
  3. 5:24
  4. 35
  5. 258
  6. 162
  7. 6:40
  8. 49.5
  9. 78
  10. 90
  11. 126
  12. 112.5
  13. 36
  14. 106
  15. 168
  16. 50
  17. 54.5
  18. 12.5
  19. 216
  20. 9
  21. 114
  22. 133.5
  23. 28.5
  24. 12
  25. 171
  26. 10:09
  27. 3:39
  28. 5:21
  29. 57
  30. 10:26
  31. 5:27
  32. 74
  33. 8:33
  34. 25.5
  35. 87
  36. 76.5
  37. 36.5
  38. 98.5
  39. 108
  40. 348

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