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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 766 · 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.A clock shows 1:16. What time will it show 114 minutes later? (a) 3:20 (b) 3:10 (c) 3:00 (d) 4:10
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  4. 4.A clock shows 3:04. What time will it show 99 minutes later? (a) 4:53 (b) 5:43 (c) 4:33 (d) 4:43
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 43 minutes? =
  7. 7.A clock shows 12:36. What time will it show 155 minutes later? (a) 3:01 (b) 3:21 (c) 4:11 (d) 3:11
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 93 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 25 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  15. 15.A clock shows 10:08. What time will it show 150 minutes later? (a) 1:38 (b) 12:28 (c) 12:48 (d) 12:38
  16. 16.A clock shows 2:45. What time will it show 33 minutes later? (a) 3:08 (b) 3:28 (c) 4:18 (d) 3:18
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  18. 18.A clock shows 8:54. What time will it show 71 minutes later? (a) 9:55 (b) 10:15 (c) 11:05 (d) 10:05
  19. 19.How many degrees does the minute hand of a clock turn in 27 minutes? =
  20. 20.A clock shows 11:14. What time will it show 90 minutes later? (a) 12:34 (b) 12:44 (c) 12:54 (d) 1:44
  21. 21.A clock shows 9:09. What time will it show 170 minutes later? (a) 12:59 (b) 11:49 (c) 12:09 (d) 11:59
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 103 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 34 minutes? =
  25. 25.A clock shows 5:45. What time will it show 97 minutes later? (a) 7:22 (b) 7:32 (c) 8:22 (d) 7:12
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  29. 29.A clock shows 10:05. What time will it show 35 minutes later? (a) 10:50 (b) 11:40 (c) 10:40 (d) 10:30
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 16 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 36 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 113 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  35. 35.A clock shows 12:18. What time will it show 34 minutes later? (a) 12:42 (b) 1:52 (c) 1:02 (d) 12:52
  36. 36.A clock shows 9:19. What time will it show 81 minutes later? (a) 10:30 (b) 10:40 (c) 10:50 (d) 11:40
  37. 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
  38. 38.A clock shows 10:12. What time will it show 106 minutes later? (a) 12:08 (b) 11:58 (c) 12:58 (d) 11:48
  39. 39.A clock shows 8:59. What time will it show 21 minutes later? (a) 9:30 (b) 10:20 (c) 9:10 (d) 9:20
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =

Answer key

  1. 3:10
  2. 1.5
  3. 151
  4. 4:43
  5. 45.5
  6. 258
  7. 3:11
  8. 79.5
  9. 46.5
  10. 12.5
  11. 29
  12. 64
  13. 22.5
  14. 179
  15. 12:38
  16. 3:18
  17. 123
  18. 10:05
  19. 162
  20. 12:44
  21. 11:59
  22. 19.5
  23. 51.5
  24. 204
  25. 7:22
  26. 104
  27. 143
  28. 176
  29. 10:40
  30. 11
  31. 96
  32. 18
  33. 56.5
  34. 149
  35. 12:52
  36. 10:40
  37. 336
  38. 11:58
  39. 9:20
  40. 147.5

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