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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 92 · 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 113 minutes? =
  2. 2.A clock shows 11:40. What time will it show 168 minutes later? (a) 3:28 (b) 2:38 (c) 2:18 (d) 2:28
  3. 3.How many degrees does the minute hand of a clock turn in 27 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 30 minutes? =
  5. 5.A clock shows 9:48. What time will it show 11 minutes later? (a) 9:59 (b) 9:49 (c) 10:09 (d) 10:59
  6. 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 98 minutes? =
  8. 8.A clock shows 7:20. What time will it show 154 minutes later? (a) 10:04 (b) 10:54 (c) 9:44 (d) 9:54
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 111 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 59 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 43 minutes? =
  15. 15.A clock shows 3:12. What time will it show 149 minutes later? (a) 5:41 (b) 5:51 (c) 5:31 (d) 6:41
  16. 16.A clock shows 3:16. What time will it show 160 minutes later? (a) 5:46 (b) 5:56 (c) 6:06 (d) 6:56
  17. 17.How many degrees does the hour hand of a clock turn in 34 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 101 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 167 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 32 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 12 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 134 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 7 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 2 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  33. 33.A clock shows 6:32. What time will it show 130 minutes later? (a) 8:32 (b) 9:42 (c) 8:42 (d) 8:52
  34. 34.How many degrees does the hour hand of a clock turn in 162 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
  37. 37.A clock shows 1:15. What time will it show 112 minutes later? (a) 2:57 (b) 3:07 (c) 3:17 (d) 4:07
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  39. 39.A clock shows 12:19. What time will it show 72 minutes later? (a) 2:31 (b) 1:21 (c) 1:41 (d) 1:31
  40. 40.A clock shows 11:23. What time will it show 165 minutes later? (a) 2:08 (b) 3:08 (c) 1:58 (d) 2:18

Answer key

  1. 56.5
  2. 2:28
  3. 162
  4. 180
  5. 9:59
  6. 216
  7. 49
  8. 9:54
  9. 172.5
  10. 55.5
  11. 164.5
  12. 82
  13. 29.5
  14. 21.5
  15. 5:41
  16. 5:56
  17. 17
  18. 50.5
  19. 83.5
  20. 62.5
  21. 16
  22. 88
  23. 72
  24. 53.5
  25. 139.5
  26. 67
  27. 48
  28. 158
  29. 153
  30. 42
  31. 12
  32. 113
  33. 8:42
  34. 81
  35. 106.5
  36. 126
  37. 3:07
  38. 122.5
  39. 1:31
  40. 2:08

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