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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 781 · 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 2:12. What time will it show 57 minutes later? (a) 4:09 (b) 2:59 (c) 3:09 (d) 3:19
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 161 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  6. 6.A clock shows 3:25. What time will it show 115 minutes later? (a) 5:20 (b) 5:10 (c) 6:20 (d) 5:30
  7. 7.How many degrees does the minute hand of a clock turn in 58 minutes? =
  8. 8.A clock shows 4:51. What time will it show 125 minutes later? (a) 6:56 (b) 7:56 (c) 7:06 (d) 6:46
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  10. 10.A clock shows 12:53. What time will it show 23 minutes later? (a) 1:16 (b) 2:16 (c) 1:06 (d) 1:26
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  12. 12.A clock shows 5:54. What time will it show 101 minutes later? (a) 8:35 (b) 7:45 (c) 7:35 (d) 7:25
  13. 13.A clock shows 11:09. What time will it show 49 minutes later? (a) 12:08 (b) 11:58 (c) 12:58 (d) 11:48
  14. 14.How many degrees does the hour hand of a clock turn in 59 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 171 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  20. 20.A clock shows 9:09. What time will it show 88 minutes later? (a) 10:47 (b) 11:37 (c) 10:37 (d) 10:27
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 24 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 167 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 38 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 20 minutes? =
  28. 28.A clock shows 6:09. What time will it show 160 minutes later? (a) 8:39 (b) 8:59 (c) 9:49 (d) 8:49
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  30. 30.A clock shows 9:51. What time will it show 44 minutes later? (a) 10:45 (b) 11:35 (c) 10:35 (d) 10:25
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 11 minutes? =
  34. 34.A clock shows 2:50. What time will it show 168 minutes later? (a) 6:38 (b) 5:28 (c) 5:48 (d) 5:38
  35. 35.How many degrees does the hour hand of a clock turn in 32 minutes? =
  36. 36.A clock shows 1:09. What time will it show 66 minutes later? (a) 2:05 (b) 3:15 (c) 2:25 (d) 2:15
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 169 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =

Answer key

  1. 3:09
  2. 29.5
  3. 109
  4. 80.5
  5. 175
  6. 5:20
  7. 348
  8. 6:56
  9. 163.5
  10. 1:16
  11. 120
  12. 7:35
  13. 11:58
  14. 29.5
  15. 85.5
  16. 59
  17. 109.5
  18. 43.5
  19. 54
  20. 10:37
  21. 19.5
  22. 144
  23. 83.5
  24. 15
  25. 228
  26. 3.5
  27. 120
  28. 8:49
  29. 123.5
  30. 10:35
  31. 53.5
  32. 87
  33. 66
  34. 5:38
  35. 16
  36. 2:15
  37. 159.5
  38. 84.5
  39. 48.5
  40. 101.5

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