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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 801 · 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 118 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 4 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 131 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 143 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 169 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 32 minutes? =
  9. 9.A clock shows 8:29. What time will it show 96 minutes later? (a) 10:15 (b) 9:55 (c) 10:05 (d) 11:05
  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 10:04? (in degrees) =
  12. 12.A clock shows 2:01. What time will it show 19 minutes later? (a) 2:30 (b) 3:20 (c) 2:10 (d) 2:20
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 50 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 121 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
  17. 17.A clock shows 1:54. What time will it show 25 minutes later? (a) 2:19 (b) 2:09 (c) 2:29 (d) 3:19
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 75 minutes? =
  20. 20.A clock shows 12:15. What time will it show 89 minutes later? (a) 1:34 (b) 2:44 (c) 1:54 (d) 1:44
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 17 minutes? =
  23. 23.A clock shows 7:13. What time will it show 29 minutes later? (a) 8:42 (b) 7:42 (c) 7:32 (d) 7:52
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  25. 25.A clock shows 5:45. What time will it show 84 minutes later? (a) 7:19 (b) 8:09 (c) 6:59 (d) 7:09
  26. 26.A clock shows 3:00. What time will it show 57 minutes later? (a) 4:57 (b) 3:57 (c) 4:07 (d) 3:47
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 29 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 170 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  31. 31.A clock shows 2:58. What time will it show 124 minutes later? (a) 5:12 (b) 4:52 (c) 5:02 (d) 6:02
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  33. 33.A clock shows 8:05. What time will it show 14 minutes later? (a) 9:19 (b) 8:29 (c) 8:09 (d) 8:19
  34. 34.How many degrees does the hour hand of a clock turn in 64 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 16 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 55 minutes? =
  37. 37.A clock shows 4:20. What time will it show 144 minutes later? (a) 6:44 (b) 6:54 (c) 7:44 (d) 6:34
  38. 38.A clock shows 10:57. What time will it show 79 minutes later? (a) 12:16 (b) 12:26 (c) 1:16 (d) 12:06
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =

Answer key

  1. 59
  2. 146
  3. 24
  4. 65.5
  5. 71.5
  6. 84.5
  7. 92.5
  8. 192
  9. 10:05
  10. 154.5
  11. 82
  12. 2:20
  13. 8.5
  14. 300
  15. 60.5
  16. 270
  17. 2:19
  18. 91.5
  19. 37.5
  20. 1:44
  21. 125.5
  22. 102
  23. 7:42
  24. 142
  25. 7:09
  26. 3:57
  27. 41.5
  28. 174
  29. 85
  30. 142.5
  31. 5:02
  32. 163
  33. 8:19
  34. 32
  35. 8
  36. 330
  37. 6:44
  38. 12:16
  39. 159.5
  40. 89.5

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