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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 395 · 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 3:09? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 78 minutes? =
  3. 3.A clock shows 12:42. What time will it show 65 minutes later? (a) 1:37 (b) 1:47 (c) 2:47 (d) 1:57
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 89 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 4 minutes? =
  8. 8.A clock shows 11:30. What time will it show 32 minutes later? (a) 12:12 (b) 1:02 (c) 11:52 (d) 12:02
  9. 9.A clock shows 4:11. What time will it show 103 minutes later? (a) 6:04 (b) 6:54 (c) 5:44 (d) 5:54
  10. 10.A clock shows 11:04. What time will it show 10 minutes later? (a) 11:04 (b) 11:14 (c) 12:14 (d) 11:24
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  14. 14.A clock shows 12:12. What time will it show 115 minutes later? (a) 3:07 (b) 1:57 (c) 2:07 (d) 2:17
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 51 minutes? =
  18. 18.A clock shows 9:45. What time will it show 166 minutes later? (a) 1:31 (b) 12:21 (c) 12:31 (d) 12:41
  19. 19.A clock shows 4:56. What time will it show 168 minutes later? (a) 7:34 (b) 8:44 (c) 7:44 (d) 7:54
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  21. 21.A clock shows 10:57. What time will it show 75 minutes later? (a) 12:12 (b) 12:22 (c) 1:12 (d) 12:02
  22. 22.A clock shows 1:03. What time will it show 134 minutes later? (a) 4:17 (b) 3:07 (c) 3:17 (d) 3:27
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  26. 26.A clock shows 5:34. What time will it show 35 minutes later? (a) 7:09 (b) 6:19 (c) 5:59 (d) 6:09
  27. 27.How many degrees does the hour hand of a clock turn in 93 minutes? =
  28. 28.A clock shows 8:42. What time will it show 132 minutes later? (a) 11:54 (b) 11:04 (c) 10:44 (d) 10:54
  29. 29.How many degrees does the hour hand of a clock turn in 179 minutes? =
  30. 30.A clock shows 10:22. What time will it show 68 minutes later? (a) 12:30 (b) 11:40 (c) 11:20 (d) 11:30
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  33. 33.A clock shows 7:50. What time will it show 88 minutes later? (a) 10:18 (b) 9:28 (c) 9:08 (d) 9:18
  34. 34.A clock shows 1:50. What time will it show 166 minutes later? (a) 4:36 (b) 5:36 (c) 4:26 (d) 4:46
  35. 35.A clock shows 11:39. What time will it show 115 minutes later? (a) 1:24 (b) 2:34 (c) 1:34 (d) 1:44
  36. 36.How many degrees does the hour hand of a clock turn in 161 minutes? =
  37. 37.A clock shows 9:25. What time will it show 139 minutes later? (a) 11:34 (b) 11:54 (c) 11:44 (d) 12:44
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  39. 39.A clock shows 4:36. What time will it show 52 minutes later? (a) 5:38 (b) 6:28 (c) 5:18 (d) 5:28
  40. 40.How many degrees does the minute hand of a clock turn in 48 minutes? =

Answer key

  1. 40.5
  2. 39
  3. 1:47
  4. 51.5
  5. 59.5
  6. 44.5
  7. 24
  8. 12:02
  9. 5:54
  10. 11:14
  11. 5
  12. 4.5
  13. 108
  14. 2:07
  15. 137.5
  16. 59.5
  17. 25.5
  18. 12:31
  19. 7:44
  20. 73
  21. 12:12
  22. 3:17
  23. 177
  24. 282
  25. 170.5
  26. 6:09
  27. 46.5
  28. 10:54
  29. 89.5
  30. 11:30
  31. 22
  32. 127.5
  33. 9:18
  34. 4:36
  35. 1:34
  36. 80.5
  37. 11:44
  38. 131.5
  39. 5:28
  40. 288

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