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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 618 · 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 9:51. What time will it show 82 minutes later? (a) 12:13 (b) 11:03 (c) 11:23 (d) 11:13
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  3. 3.A clock shows 4:18. What time will it show 23 minutes later? (a) 4:51 (b) 4:31 (c) 4:41 (d) 5:41
  4. 4.A clock shows 2:14. What time will it show 49 minutes later? (a) 2:53 (b) 3:13 (c) 3:03 (d) 4:03
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 76 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 167 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 154 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 33 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 53 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  17. 17.A clock shows 2:28. What time will it show 33 minutes later? (a) 4:01 (b) 3:11 (c) 3:01 (d) 2:51
  18. 18.How many degrees does the hour hand of a clock turn in 165 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  20. 20.A clock shows 6:24. What time will it show 33 minutes later? (a) 7:07 (b) 6:47 (c) 6:57 (d) 7:57
  21. 21.A clock shows 7:05. What time will it show 40 minutes later? (a) 7:55 (b) 7:45 (c) 8:45 (d) 7:35
  22. 22.How many degrees does the hour hand of a clock turn in 140 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  24. 24.A clock shows 10:34. What time will it show 112 minutes later? (a) 12:26 (b) 1:26 (c) 12:36 (d) 12:16
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  27. 27.A clock shows 4:26. What time will it show 13 minutes later? (a) 4:29 (b) 5:39 (c) 4:39 (d) 4:49
  28. 28.How many degrees does the hour hand of a clock turn in 101 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 119 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  34. 34.A clock shows 9:51. What time will it show 150 minutes later? (a) 12:11 (b) 12:21 (c) 12:31 (d) 1:21
  35. 35.A clock shows 6:53. What time will it show 77 minutes later? (a) 8:00 (b) 9:10 (c) 8:10 (d) 8:20
  36. 36.How many degrees does the hour hand of a clock turn in 121 minutes? =
  37. 37.A clock shows 12:45. What time will it show 62 minutes later? (a) 1:57 (b) 1:37 (c) 1:47 (d) 2:47
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 6 minutes? =
  40. 40.A clock shows 8:18. What time will it show 15 minutes later? (a) 9:33 (b) 8:23 (c) 8:33 (d) 8:43

Answer key

  1. 11:13
  2. 109
  3. 4:41
  4. 3:03
  5. 151
  6. 151.5
  7. 38
  8. 83.5
  9. 104
  10. 77
  11. 77
  12. 134
  13. 41.5
  14. 16.5
  15. 26.5
  16. 9.5
  17. 3:01
  18. 82.5
  19. 130.5
  20. 6:57
  21. 7:45
  22. 70
  23. 129.5
  24. 12:26
  25. 47
  26. 160.5
  27. 4:39
  28. 50.5
  29. 59.5
  30. 101.5
  31. 69
  32. 146.5
  33. 37
  34. 12:21
  35. 8:10
  36. 60.5
  37. 1:47
  38. 55.5
  39. 36
  40. 8:33

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