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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 651 · 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 5:59. What time will it show 10 minutes later? (a) 6:09 (b) 7:09 (c) 6:19 (d) 5:59
  2. 2.A clock shows 10:19. What time will it show 165 minutes later? (a) 1:14 (b) 1:04 (c) 12:54 (d) 2:04
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 58 minutes? =
  6. 6.A clock shows 3:43. What time will it show 108 minutes later? (a) 5:41 (b) 5:21 (c) 6:31 (d) 5:31
  7. 7.How many degrees does the minute hand of a clock turn in 32 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 16 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 26 minutes? =
  13. 13.A clock shows 7:36. What time will it show 63 minutes later? (a) 8:49 (b) 8:39 (c) 8:29 (d) 9:39
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 81 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 163 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 23 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 111 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 5 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 15 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 153 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 41 minutes? =
  28. 28.A clock shows 3:12. What time will it show 37 minutes later? (a) 3:59 (b) 3:39 (c) 4:49 (d) 3:49
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  30. 30.A clock shows 3:24. What time will it show 99 minutes later? (a) 4:53 (b) 5:13 (c) 5:03 (d) 6:03
  31. 31.How many degrees does the minute hand of a clock turn in 33 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 19 minutes? =
  36. 36.A clock shows 8:35. What time will it show 103 minutes later? (a) 11:18 (b) 10:08 (c) 10:28 (d) 10:18
  37. 37.How many degrees does the hour hand of a clock turn in 54 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =

Answer key

  1. 6:09
  2. 1:04
  3. 127
  4. 336
  5. 348
  6. 5:31
  7. 192
  8. 177
  9. 178.5
  10. 96
  11. 141
  12. 156
  13. 8:39
  14. 76.5
  15. 40.5
  16. 142.5
  17. 127.5
  18. 81.5
  19. 176.5
  20. 138
  21. 108
  22. 50.5
  23. 55.5
  24. 30
  25. 90
  26. 76.5
  27. 246
  28. 3:49
  29. 176.5
  30. 5:03
  31. 198
  32. 37
  33. 19.5
  34. 57
  35. 114
  36. 10:18
  37. 27
  38. 66.5
  39. 56.5
  40. 141.5

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