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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 82 · 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.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 13 minutes? =
  3. 3.A clock shows 4:32. What time will it show 105 minutes later? (a) 7:17 (b) 6:27 (c) 6:17 (d) 6:07
  4. 4.A clock shows 9:47. What time will it show 140 minutes later? (a) 1:07 (b) 12:17 (c) 12:07 (d) 11:57
  5. 5.A clock shows 6:10. What time will it show 107 minutes later? (a) 8:57 (b) 8:07 (c) 7:47 (d) 7:57
  6. 6.How many degrees does the hour hand of a clock turn in 160 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 9 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 17 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 55 minutes? =
  13. 13.A clock shows 8:31. What time will it show 50 minutes later? (a) 9:21 (b) 9:11 (c) 9:31 (d) 10:21
  14. 14.A clock shows 12:38. What time will it show 153 minutes later? (a) 4:11 (b) 3:01 (c) 3:11 (d) 3:21
  15. 15.How many degrees does the minute hand of a clock turn in 16 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  22. 22.A clock shows 8:54. What time will it show 137 minutes later? (a) 11:21 (b) 11:01 (c) 11:11 (d) 12:11
  23. 23.How many degrees does the hour hand of a clock turn in 120 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  27. 27.A clock shows 4:20. What time will it show 89 minutes later? (a) 5:39 (b) 5:59 (c) 6:49 (d) 5:49
  28. 28.A clock shows 11:13. What time will it show 128 minutes later? (a) 1:31 (b) 1:11 (c) 1:21 (d) 2:21
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 45 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  34. 34.A clock shows 6:18. What time will it show 166 minutes later? (a) 8:54 (b) 9:14 (c) 9:04 (d) 10:04
  35. 35.How many degrees does the minute hand of a clock turn in 59 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  37. 37.A clock shows 12:28. What time will it show 145 minutes later? (a) 2:43 (b) 3:53 (c) 2:53 (d) 3:03
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  39. 39.A clock shows 2:41. What time will it show 32 minutes later? (a) 4:13 (b) 3:03 (c) 3:23 (d) 3:13
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =

Answer key

  1. 123.5
  2. 78
  3. 6:17
  4. 12:07
  5. 7:57
  6. 80
  7. 163.5
  8. 50.5
  9. 91.5
  10. 54
  11. 102
  12. 330
  13. 9:21
  14. 3:11
  15. 96
  16. 14
  17. 96
  18. 56.5
  19. 45
  20. 141
  21. 74.5
  22. 11:11
  23. 60
  24. 46.5
  25. 65
  26. 156
  27. 5:49
  28. 1:21
  29. 88.5
  30. 103
  31. 36
  32. 270
  33. 71.5
  34. 9:04
  35. 354
  36. 48.5
  37. 2:53
  38. 102
  39. 3:13
  40. 104

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