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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 731 · 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 12 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 43 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 23 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 97 minutes? =
  9. 9.A clock shows 5:20. What time will it show 134 minutes later? (a) 7:44 (b) 7:24 (c) 7:34 (d) 8:34
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  13. 13.A clock shows 2:20. What time will it show 129 minutes later? (a) 4:39 (b) 4:19 (c) 5:29 (d) 4:29
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  15. 15.A clock shows 6:46. What time will it show 55 minutes later? (a) 7:51 (b) 8:41 (c) 7:31 (d) 7:41
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  17. 17.A clock shows 4:22. What time will it show 137 minutes later? (a) 6:49 (b) 6:29 (c) 7:39 (d) 6:39
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  19. 19.A clock shows 9:41. What time will it show 151 minutes later? (a) 1:12 (b) 12:22 (c) 12:12 (d) 12:02
  20. 20.A clock shows 2:07. What time will it show 49 minutes later? (a) 2:56 (b) 2:46 (c) 3:06 (d) 3:56
  21. 21.How many degrees does the hour hand of a clock turn in 146 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 172 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 30 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 138 minutes? =
  26. 26.A clock shows 5:03. What time will it show 24 minutes later? (a) 5:27 (b) 6:27 (c) 5:37 (d) 5:17
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  28. 28.A clock shows 2:40. What time will it show 43 minutes later? (a) 3:33 (b) 4:23 (c) 3:13 (d) 3:23
  29. 29.A clock shows 8:26. What time will it show 15 minutes later? (a) 8:51 (b) 9:41 (c) 8:41 (d) 8:31
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  32. 32.A clock shows 6:45. What time will it show 133 minutes later? (a) 8:48 (b) 8:58 (c) 9:08 (d) 9:58
  33. 33.How many degrees does the minute hand of a clock turn in 45 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 28 minutes? =
  37. 37.A clock shows 6:46. What time will it show 144 minutes later? (a) 9:00 (b) 9:20 (c) 9:10 (d) 10:10
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 114 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 151 minutes? =

Answer key

  1. 72
  2. 139.5
  3. 258
  4. 160.5
  5. 179.5
  6. 159
  7. 138
  8. 48.5
  9. 7:34
  10. 76
  11. 131
  12. 25
  13. 4:29
  14. 170
  15. 7:41
  16. 152
  17. 6:39
  18. 171.5
  19. 12:12
  20. 2:56
  21. 73
  22. 86
  23. 140
  24. 180
  25. 69
  26. 5:27
  27. 40.5
  28. 3:23
  29. 8:41
  30. 154.5
  31. 40
  32. 8:58
  33. 270
  34. 54.5
  35. 54
  36. 168
  37. 9:10
  38. 173
  39. 57
  40. 75.5

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