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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 412 · 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 11:01? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 34 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 59 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 34 minutes? =
  7. 7.A clock shows 4:54. What time will it show 57 minutes later? (a) 6:51 (b) 6:01 (c) 5:41 (d) 5:51
  8. 8.How many degrees does the hour hand of a clock turn in 44 minutes? =
  9. 9.A clock shows 5:46. What time will it show 27 minutes later? (a) 6:03 (b) 6:13 (c) 7:13 (d) 6:23
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  14. 14.A clock shows 2:51. What time will it show 82 minutes later? (a) 5:13 (b) 4:23 (c) 4:13 (d) 4:03
  15. 15.A clock shows 9:26. What time will it show 70 minutes later? (a) 10:46 (b) 10:36 (c) 11:36 (d) 10:26
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  17. 17.A clock shows 2:58. What time will it show 125 minutes later? (a) 6:03 (b) 4:53 (c) 5:13 (d) 5:03
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  19. 19.A clock shows 11:08. What time will it show 109 minutes later? (a) 1:07 (b) 1:57 (c) 12:47 (d) 12:57
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  21. 21.A clock shows 6:21. What time will it show 81 minutes later? (a) 7:42 (b) 8:42 (c) 7:52 (d) 7:32
  22. 22.A clock shows 5:40. What time will it show 111 minutes later? (a) 7:41 (b) 8:31 (c) 7:21 (d) 7:31
  23. 23.How many degrees does the hour hand of a clock turn in 43 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 172 minutes? =
  25. 25.A clock shows 6:44. What time will it show 90 minutes later? (a) 8:24 (b) 8:14 (c) 9:14 (d) 8:04
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  27. 27.A clock shows 7:38. What time will it show 142 minutes later? (a) 10:10 (b) 9:50 (c) 10:00 (d) 11:00
  28. 28.How many degrees does the minute hand of a clock turn in 26 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  30. 30.A clock shows 11:07. What time will it show 55 minutes later? (a) 12:02 (b) 1:02 (c) 12:12 (d) 11:52
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 27 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 136 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  36. 36.A clock shows 9:23. What time will it show 91 minutes later? (a) 10:44 (b) 11:54 (c) 11:04 (d) 10:54
  37. 37.A clock shows 4:02. What time will it show 112 minutes later? (a) 6:54 (b) 5:44 (c) 5:54 (d) 6:04
  38. 38.How many degrees does the minute hand of a clock turn in 19 minutes? =
  39. 39.A clock shows 1:10. What time will it show 59 minutes later? (a) 2:19 (b) 3:09 (c) 2:09 (d) 1:59
  40. 40.A clock shows 12:21. What time will it show 15 minutes later? (a) 12:26 (b) 1:36 (c) 12:36 (d) 12:46

Answer key

  1. 35.5
  2. 17
  3. 29.5
  4. 24
  5. 80.5
  6. 204
  7. 5:51
  8. 22
  9. 6:13
  10. 157
  11. 173.5
  12. 124
  13. 174
  14. 4:13
  15. 10:36
  16. 66
  17. 5:03
  18. 88.5
  19. 12:57
  20. 49
  21. 7:42
  22. 7:31
  23. 21.5
  24. 86
  25. 8:14
  26. 130
  27. 10:00
  28. 156
  29. 71
  30. 12:02
  31. 142.5
  32. 112.5
  33. 13.5
  34. 68
  35. 132
  36. 10:54
  37. 5:54
  38. 114
  39. 2:09
  40. 12:36

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