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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 823 · 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 9:36? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  5. 5.A clock shows 8:15. What time will it show 121 minutes later? (a) 10:16 (b) 10:06 (c) 11:16 (d) 10:26
  6. 6.A clock shows 4:08. What time will it show 114 minutes later? (a) 5:52 (b) 6:02 (c) 6:12 (d) 7:02
  7. 7.How many degrees does the hour hand of a clock turn in 138 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 44 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  11. 11.A clock shows 7:57. What time will it show 80 minutes later? (a) 9:17 (b) 10:17 (c) 9:07 (d) 9:27
  12. 12.A clock shows 2:01. What time will it show 117 minutes later? (a) 3:48 (b) 4:08 (c) 4:58 (d) 3:58
  13. 13.A clock shows 10:09. What time will it show 38 minutes later? (a) 11:47 (b) 10:37 (c) 10:47 (d) 10:57
  14. 14.A clock shows 6:16. What time will it show 150 minutes later? (a) 8:36 (b) 9:46 (c) 8:56 (d) 8:46
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 27 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 141 minutes? =
  20. 20.A clock shows 9:59. What time will it show 90 minutes later? (a) 11:19 (b) 11:29 (c) 12:29 (d) 11:39
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  23. 23.A clock shows 12:42. What time will it show 130 minutes later? (a) 2:42 (b) 2:52 (c) 3:02 (d) 3:52
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  25. 25.A clock shows 9:17. What time will it show 27 minutes later? (a) 9:34 (b) 9:44 (c) 10:44 (d) 9:54
  26. 26.How many degrees does the minute hand of a clock turn in 7 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 42 minutes? =
  30. 30.A clock shows 3:18. What time will it show 11 minutes later? (a) 3:19 (b) 3:29 (c) 4:29 (d) 3:39
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  34. 34.A clock shows 8:10. What time will it show 37 minutes later? (a) 8:37 (b) 8:57 (c) 9:47 (d) 8:47
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  36. 36.A clock shows 1:16. What time will it show 142 minutes later? (a) 3:38 (b) 3:48 (c) 3:28 (d) 4:38
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  39. 39.A clock shows 8:22. What time will it show 13 minutes later? (a) 9:35 (b) 8:35 (c) 8:45 (d) 8:25
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =

Answer key

  1. 72
  2. 142
  3. 20.5
  4. 96.5
  5. 10:16
  6. 6:02
  7. 69
  8. 22
  9. 178
  10. 22.5
  11. 9:17
  12. 3:58
  13. 10:47
  14. 8:46
  15. 146
  16. 162
  17. 154.5
  18. 160.5
  19. 70.5
  20. 11:29
  21. 92.5
  22. 123
  23. 2:52
  24. 106.5
  25. 9:44
  26. 42
  27. 119.5
  28. 99.5
  29. 252
  30. 3:29
  31. 24
  32. 145
  33. 147.5
  34. 8:47
  35. 139
  36. 3:38
  37. 81.5
  38. 125.5
  39. 8:35
  40. 16

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