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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 103 · 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.A clock shows 7:26. What time will it show 111 minutes later? (a) 9:27 (b) 9:17 (c) 9:07 (d) 10:17
  2. 2.How many degrees does the minute hand of a clock turn in 51 minutes? =
  3. 3.A clock shows 11:10. What time will it show 167 minutes later? (a) 1:47 (b) 2:07 (c) 2:57 (d) 1:57
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 50 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 46 minutes? =
  10. 10.A clock shows 6:36. What time will it show 128 minutes later? (a) 8:44 (b) 9:44 (c) 8:54 (d) 8:34
  11. 11.How many degrees does the minute hand of a clock turn in 57 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 66 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
  14. 14.A clock shows 11:47. What time will it show 166 minutes later? (a) 2:33 (b) 3:33 (c) 2:23 (d) 2:43
  15. 15.A clock shows 5:38. What time will it show 144 minutes later? (a) 7:52 (b) 8:12 (c) 8:02 (d) 9:02
  16. 16.How many degrees does the hour hand of a clock turn in 78 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 62 minutes? =
  20. 20.A clock shows 6:23. What time will it show 83 minutes later? (a) 7:56 (b) 7:46 (c) 8:46 (d) 7:36
  21. 21.How many degrees does the hour hand of a clock turn in 137 minutes? =
  22. 22.A clock shows 5:59. What time will it show 25 minutes later? (a) 6:24 (b) 6:14 (c) 7:24 (d) 6:34
  23. 23.A clock shows 11:34. What time will it show 109 minutes later? (a) 2:23 (b) 1:23 (c) 1:13 (d) 1:33
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  25. 25.A clock shows 4:42. What time will it show 80 minutes later? (a) 5:52 (b) 6:12 (c) 6:02 (d) 7:02
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  29. 29.A clock shows 1:38. What time will it show 24 minutes later? (a) 2:02 (b) 3:02 (c) 1:52 (d) 2:12
  30. 30.A clock shows 2:32. What time will it show 81 minutes later? (a) 3:43 (b) 4:53 (c) 3:53 (d) 4:03
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 135 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 9 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 44 minutes? =
  36. 36.A clock shows 11:53. What time will it show 16 minutes later? (a) 11:59 (b) 1:09 (c) 12:19 (d) 12:09
  37. 37.How many degrees does the minute hand of a clock turn in 22 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =

Answer key

  1. 9:17
  2. 306
  3. 1:57
  4. 157
  5. 139.5
  6. 300
  7. 167.5
  8. 102.5
  9. 276
  10. 8:44
  11. 342
  12. 33
  13. 10.5
  14. 2:33
  15. 8:02
  16. 39
  17. 142
  18. 78
  19. 31
  20. 7:46
  21. 68.5
  22. 6:24
  23. 1:23
  24. 17
  25. 6:02
  26. 76.5
  27. 162
  28. 86
  29. 2:02
  30. 3:53
  31. 6
  32. 67.5
  33. 54
  34. 112.5
  35. 264
  36. 12:09
  37. 132
  38. 51.5
  39. 198
  40. 87

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