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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 745 · 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 1:02. What time will it show 103 minutes later? (a) 2:45 (b) 3:45 (c) 2:55 (d) 2:35
  2. 2.How many degrees does the hour hand of a clock turn in 103 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  4. 4.A clock shows 9:22. What time will it show 132 minutes later? (a) 11:24 (b) 12:34 (c) 11:34 (d) 11:44
  5. 5.A clock shows 6:12. What time will it show 85 minutes later? (a) 8:37 (b) 7:37 (c) 7:27 (d) 7:47
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 20 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 14 minutes? =
  9. 9.A clock shows 4:11. What time will it show 64 minutes later? (a) 5:15 (b) 5:05 (c) 5:25 (d) 6:15
  10. 10.How many degrees does the hour hand of a clock turn in 52 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  13. 13.A clock shows 11:11. What time will it show 87 minutes later? (a) 12:38 (b) 1:38 (c) 12:28 (d) 12:48
  14. 14.How many degrees does the hour hand of a clock turn in 74 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  18. 18.A clock shows 6:22. What time will it show 34 minutes later? (a) 7:06 (b) 6:56 (c) 6:46 (d) 7:56
  19. 19.How many degrees does the minute hand of a clock turn in 12 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 27 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 15 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  26. 26.A clock shows 9:08. What time will it show 14 minutes later? (a) 9:32 (b) 9:22 (c) 10:22 (d) 9:12
  27. 27.A clock shows 9:50. What time will it show 140 minutes later? (a) 12:10 (b) 12:20 (c) 12:00 (d) 1:10
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  29. 29.A clock shows 8:48. What time will it show 141 minutes later? (a) 10:59 (b) 11:19 (c) 11:09 (d) 12:09
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 144 minutes? =
  35. 35.A clock shows 2:09. What time will it show 85 minutes later? (a) 3:44 (b) 3:34 (c) 4:34 (d) 3:24
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  38. 38.A clock shows 10:49. What time will it show 138 minutes later? (a) 2:07 (b) 1:17 (c) 12:57 (d) 1:07
  39. 39.A clock shows 11:10. What time will it show 94 minutes later? (a) 1:44 (b) 12:44 (c) 12:34 (d) 12:54
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =

Answer key

  1. 2:45
  2. 51.5
  3. 13.5
  4. 11:34
  5. 7:37
  6. 60
  7. 120
  8. 84
  9. 5:15
  10. 26
  11. 165.5
  12. 106.5
  13. 12:38
  14. 37
  15. 3
  16. 108.5
  17. 26.5
  18. 6:56
  19. 72
  20. 162
  21. 312
  22. 60
  23. 90
  24. 48.5
  25. 58
  26. 9:22
  27. 12:10
  28. 175
  29. 11:09
  30. 87
  31. 99.5
  32. 39.5
  33. 14
  34. 72
  35. 3:34
  36. 23.5
  37. 82.5
  38. 1:07
  39. 12:44
  40. 178.5

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