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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 321 · 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 57 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 24 minutes? =
  4. 4.A clock shows 9:26. What time will it show 67 minutes later? (a) 10:23 (b) 11:33 (c) 10:33 (d) 10:43
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 26 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 145 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  9. 9.A clock shows 5:32. What time will it show 97 minutes later? (a) 6:59 (b) 7:19 (c) 8:09 (d) 7:09
  10. 10.How many degrees does the hour hand of a clock turn in 54 minutes? =
  11. 11.A clock shows 6:40. What time will it show 26 minutes later? (a) 6:56 (b) 8:06 (c) 7:16 (d) 7:06
  12. 12.A clock shows 12:55. What time will it show 67 minutes later? (a) 2:12 (b) 2:02 (c) 1:52 (d) 3:02
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 46 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 38 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 19 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 21 minutes? =
  20. 20.A clock shows 12:32. What time will it show 129 minutes later? (a) 2:51 (b) 3:41 (c) 2:31 (d) 2:41
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  22. 22.A clock shows 12:12. What time will it show 70 minutes later? (a) 1:32 (b) 1:22 (c) 1:12 (d) 2:22
  23. 23.How many degrees does the hour hand of a clock turn in 73 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 173 minutes? =
  26. 26.A clock shows 1:49. What time will it show 86 minutes later? (a) 4:15 (b) 3:05 (c) 3:25 (d) 3:15
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 25 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 45 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 118 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  32. 32.A clock shows 11:09. What time will it show 53 minutes later? (a) 12:02 (b) 11:52 (c) 12:12 (d) 1:02
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  34. 34.A clock shows 1:14. What time will it show 17 minutes later? (a) 1:31 (b) 1:21 (c) 2:31 (d) 1:41
  35. 35.A clock shows 11:16. What time will it show 163 minutes later? (a) 1:49 (b) 2:59 (c) 1:59 (d) 2:09
  36. 36.How many degrees does the minute hand of a clock turn in 41 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 28 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 32 minutes? =

Answer key

  1. 342
  2. 177
  3. 144
  4. 10:33
  5. 19.5
  6. 156
  7. 72.5
  8. 71
  9. 7:09
  10. 27
  11. 7:06
  12. 2:02
  13. 154.5
  14. 276
  15. 19
  16. 126.5
  17. 105
  18. 114
  19. 126
  20. 2:41
  21. 163
  22. 1:22
  23. 36.5
  24. 51.5
  25. 86.5
  26. 3:15
  27. 160.5
  28. 150
  29. 22.5
  30. 59
  31. 131
  32. 12:02
  33. 33.5
  34. 1:31
  35. 1:59
  36. 246
  37. 108.5
  38. 168
  39. 1.5
  40. 192

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