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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 363 · 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 171 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  4. 4.A clock shows 5:44. What time will it show 161 minutes later? (a) 9:25 (b) 8:15 (c) 8:25 (d) 8:35
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  6. 6.A clock shows 2:42. What time will it show 75 minutes later? (a) 4:07 (b) 3:57 (c) 4:57 (d) 3:47
  7. 7.A clock shows 5:59. What time will it show 20 minutes later? (a) 6:29 (b) 6:09 (c) 7:19 (d) 6:19
  8. 8.How many degrees does the hour hand of a clock turn in 125 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 149 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 55 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 26 minutes? =
  12. 12.A clock shows 11:19. What time will it show 37 minutes later? (a) 12:06 (b) 11:46 (c) 12:56 (d) 11:56
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 15 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 44 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 41 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 134 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  26. 26.A clock shows 3:44. What time will it show 67 minutes later? (a) 4:41 (b) 5:51 (c) 4:51 (d) 5:01
  27. 27.A clock shows 12:32. What time will it show 39 minutes later? (a) 1:21 (b) 2:11 (c) 1:11 (d) 1:01
  28. 28.A clock shows 8:38. What time will it show 41 minutes later? (a) 9:09 (b) 9:19 (c) 10:19 (d) 9:29
  29. 29.A clock shows 12:02. What time will it show 57 minutes later? (a) 12:49 (b) 12:59 (c) 1:09 (d) 1:59
  30. 30.A clock shows 7:38. What time will it show 83 minutes later? (a) 8:51 (b) 9:01 (c) 9:11 (d) 10:01
  31. 31.How many degrees does the hour hand of a clock turn in 80 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 7 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  34. 34.A clock shows 9:07. What time will it show 52 minutes later? (a) 10:59 (b) 9:59 (c) 10:09 (d) 9:49
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 129 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 56 minutes? =
  38. 38.A clock shows 7:28. What time will it show 78 minutes later? (a) 8:36 (b) 8:46 (c) 8:56 (d) 9:46
  39. 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
  40. 40.A clock shows 4:42. What time will it show 96 minutes later? (a) 6:28 (b) 6:18 (c) 6:08 (d) 7:18

Answer key

  1. 85.5
  2. 25
  3. 99.5
  4. 8:25
  5. 100
  6. 3:57
  7. 6:19
  8. 62.5
  9. 74.5
  10. 330
  11. 156
  12. 11:56
  13. 153
  14. 94.5
  15. 95
  16. 163.5
  17. 118
  18. 7.5
  19. 141.5
  20. 127
  21. 264
  22. 102.5
  23. 246
  24. 67
  25. 154
  26. 4:51
  27. 1:11
  28. 9:19
  29. 12:59
  30. 9:01
  31. 40
  32. 42
  33. 138
  34. 9:59
  35. 149.5
  36. 64.5
  37. 28
  38. 8:46
  39. 252
  40. 6:18

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