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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 7 · 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 13 minutes? =
  2. 2.A clock shows 5:23. What time will it show 154 minutes later? (a) 8:07 (b) 7:47 (c) 8:57 (d) 7:57
  3. 3.A clock shows 10:30. What time will it show 112 minutes later? (a) 12:22 (b) 12:12 (c) 12:32 (d) 1:22
  4. 4.How many degrees does the hour hand of a clock turn in 169 minutes? =
  5. 5.A clock shows 11:19. What time will it show 40 minutes later? (a) 12:59 (b) 12:09 (c) 11:49 (d) 11:59
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 11 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 167 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 172 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 56 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 48 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 84 minutes? =
  16. 16.A clock shows 6:39. What time will it show 73 minutes later? (a) 7:52 (b) 7:42 (c) 8:52 (d) 8:02
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 34 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 119 minutes? =
  20. 20.A clock shows 2:00. What time will it show 62 minutes later? (a) 3:02 (b) 3:12 (c) 4:02 (d) 2:52
  21. 21.How many degrees does the hour hand of a clock turn in 139 minutes? =
  22. 22.A clock shows 11:06. What time will it show 50 minutes later? (a) 12:56 (b) 11:46 (c) 11:56 (d) 12:06
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 28 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  26. 26.A clock shows 5:12. What time will it show 38 minutes later? (a) 5:50 (b) 6:00 (c) 5:40 (d) 6:50
  27. 27.How many degrees does the hour hand of a clock turn in 99 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 27 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  36. 36.A clock shows 7:10. What time will it show 47 minutes later? (a) 7:57 (b) 8:07 (c) 7:47 (d) 8:57
  37. 37.How many degrees does the minute hand of a clock turn in 47 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 31 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =

Answer key

  1. 78
  2. 7:57
  3. 12:22
  4. 84.5
  5. 11:59
  6. 16.5
  7. 5.5
  8. 83.5
  9. 42
  10. 86
  11. 336
  12. 169
  13. 288
  14. 342
  15. 42
  16. 7:52
  17. 39.5
  18. 17
  19. 59.5
  20. 3:02
  21. 69.5
  22. 11:56
  23. 179.5
  24. 168
  25. 85.5
  26. 5:50
  27. 49.5
  28. 3.5
  29. 42.5
  30. 6
  31. 13.5
  32. 101.5
  33. 94
  34. 50.5
  35. 118.5
  36. 7:57
  37. 282
  38. 186
  39. 252
  40. 50.5

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