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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 690 · 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.How many degrees does the minute hand of a clock turn in 37 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  3. 3.A clock shows 8:06. What time will it show 163 minutes later? (a) 11:49 (b) 10:39 (c) 10:59 (d) 10:49
  4. 4.How many degrees does the minute hand of a clock turn in 50 minutes? =
  5. 5.A clock shows 8:21. What time will it show 27 minutes later? (a) 8:38 (b) 9:48 (c) 8:58 (d) 8:48
  6. 6.A clock shows 9:52. What time will it show 129 minutes later? (a) 1:01 (b) 12:11 (c) 12:01 (d) 11:51
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  10. 10.A clock shows 8:24. What time will it show 151 minutes later? (a) 11:05 (b) 10:45 (c) 10:55 (d) 11:55
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 24 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  15. 15.A clock shows 9:53. What time will it show 69 minutes later? (a) 11:02 (b) 12:02 (c) 11:12 (d) 10:52
  16. 16.A clock shows 10:04. What time will it show 51 minutes later? (a) 10:55 (b) 11:55 (c) 11:05 (d) 10:45
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 13 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 33 minutes? =
  22. 22.A clock shows 5:15. What time will it show 94 minutes later? (a) 7:49 (b) 6:49 (c) 6:59 (d) 6:39
  23. 23.A clock shows 1:21. What time will it show 130 minutes later? (a) 3:41 (b) 3:21 (c) 3:31 (d) 4:31
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  28. 28.A clock shows 12:32. What time will it show 14 minutes later? (a) 12:46 (b) 12:36 (c) 12:56 (d) 1:46
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 3 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  33. 33.A clock shows 9:51. What time will it show 26 minutes later? (a) 10:27 (b) 10:17 (c) 10:07 (d) 11:17
  34. 34.A clock shows 10:57. What time will it show 125 minutes later? (a) 1:02 (b) 12:52 (c) 1:12 (d) 2:02
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  38. 38.A clock shows 10:47. What time will it show 166 minutes later? (a) 1:33 (b) 1:43 (c) 2:33 (d) 1:23
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  40. 40.A clock shows 7:00. What time will it show 155 minutes later? (a) 9:45 (b) 9:25 (c) 9:35 (d) 10:35

Answer key

  1. 222
  2. 11.5
  3. 10:49
  4. 300
  5. 8:48
  6. 12:01
  7. 174
  8. 154
  9. 104
  10. 10:55
  11. 51.5
  12. 144
  13. 144.5
  14. 5.5
  15. 11:02
  16. 10:55
  17. 148.5
  18. 75.5
  19. 81
  20. 6.5
  21. 198
  22. 6:49
  23. 3:31
  24. 14
  25. 178.5
  26. 87
  27. 138
  28. 12:46
  29. 127.5
  30. 18
  31. 26
  32. 101
  33. 10:17
  34. 1:02
  35. 79.5
  36. 118
  37. 39.5
  38. 1:33
  39. 78
  40. 9:35

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