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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 314 · 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 8:17. What time will it show 169 minutes later? (a) 11:06 (b) 10:56 (c) 11:16 (d) 12:06
  2. 2.How many degrees does the minute hand of a clock turn in 29 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 57 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  7. 7.A clock shows 3:06. What time will it show 10 minutes later? (a) 3:16 (b) 3:26 (c) 4:16 (d) 3:06
  8. 8.A clock shows 10:30. What time will it show 132 minutes later? (a) 12:32 (b) 12:52 (c) 12:42 (d) 1:42
  9. 9.A clock shows 2:09. What time will it show 74 minutes later? (a) 3:13 (b) 4:23 (c) 3:33 (d) 3:23
  10. 10.How many degrees does the minute hand of a clock turn in 55 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 154 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  14. 14.A clock shows 5:26. What time will it show 82 minutes later? (a) 6:58 (b) 6:48 (c) 7:48 (d) 6:38
  15. 15.A clock shows 2:11. What time will it show 29 minutes later? (a) 2:30 (b) 3:40 (c) 2:50 (d) 2:40
  16. 16.How many degrees does the hour hand of a clock turn in 164 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  18. 18.A clock shows 8:24. What time will it show 43 minutes later? (a) 9:07 (b) 9:17 (c) 8:57 (d) 10:07
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 29 minutes? =
  21. 21.A clock shows 4:42. What time will it show 101 minutes later? (a) 7:23 (b) 6:33 (c) 6:23 (d) 6:13
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 144 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 118 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 32 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  28. 28.A clock shows 6:42. What time will it show 160 minutes later? (a) 9:22 (b) 9:32 (c) 9:12 (d) 10:22
  29. 29.A clock shows 2:40. What time will it show 152 minutes later? (a) 5:12 (b) 5:02 (c) 6:12 (d) 5:22
  30. 30.A clock shows 2:58. What time will it show 77 minutes later? (a) 4:15 (b) 4:05 (c) 4:25 (d) 5:15
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  33. 33.A clock shows 10:52. What time will it show 20 minutes later? (a) 11:12 (b) 11:02 (c) 12:12 (d) 11:22
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  36. 36.A clock shows 1:40. What time will it show 74 minutes later? (a) 2:54 (b) 3:04 (c) 3:54 (d) 2:44
  37. 37.A clock shows 4:13. What time will it show 43 minutes later? (a) 4:56 (b) 5:56 (c) 5:06 (d) 4:46
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  39. 39.A clock shows 6:10. What time will it show 27 minutes later? (a) 6:47 (b) 7:37 (c) 6:37 (d) 6:27
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =

Answer key

  1. 11:06
  2. 174
  3. 71.5
  4. 342
  5. 103.5
  6. 110
  7. 3:16
  8. 12:42
  9. 3:23
  10. 330
  11. 77
  12. 99
  13. 62
  14. 6:48
  15. 2:40
  16. 82
  17. 125.5
  18. 9:07
  19. 6
  20. 14.5
  21. 6:23
  22. 75
  23. 24.5
  24. 72
  25. 59
  26. 16
  27. 112
  28. 9:22
  29. 5:12
  30. 4:15
  31. 109
  32. 151
  33. 11:12
  34. 149
  35. 52
  36. 2:54
  37. 4:56
  38. 87.5
  39. 6:37
  40. 57.5

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