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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 304 · 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 9:59. What time will it show 30 minutes later? (a) 10:19 (b) 11:29 (c) 10:29 (d) 10:39
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  3. 3.A clock shows 7:54. What time will it show 151 minutes later? (a) 11:25 (b) 10:35 (c) 10:25 (d) 10:15
  4. 4.A clock shows 4:25. What time will it show 122 minutes later? (a) 6:17 (b) 6:27 (c) 7:27 (d) 6:37
  5. 5.A clock shows 4:14. What time will it show 151 minutes later? (a) 6:35 (b) 7:45 (c) 6:45 (d) 6:55
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 56 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  12. 12.A clock shows 8:58. What time will it show 48 minutes later? (a) 9:36 (b) 10:46 (c) 9:46 (d) 9:56
  13. 13.How many degrees does the hour hand of a clock turn in 45 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 35 minutes? =
  16. 16.A clock shows 11:07. What time will it show 82 minutes later? (a) 12:39 (b) 12:19 (c) 12:29 (d) 1:29
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 40 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 172 minutes? =
  21. 21.A clock shows 12:53. What time will it show 90 minutes later? (a) 2:33 (b) 2:13 (c) 2:23 (d) 3:23
  22. 22.How many degrees does the hour hand of a clock turn in 130 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 24 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  28. 28.A clock shows 6:19. What time will it show 157 minutes later? (a) 9:56 (b) 8:56 (c) 9:06 (d) 8:46
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  30. 30.A clock shows 3:35. What time will it show 32 minutes later? (a) 5:07 (b) 3:57 (c) 4:07 (d) 4:17
  31. 31.How many degrees does the minute hand of a clock turn in 41 minutes? =
  32. 32.A clock shows 4:46. What time will it show 146 minutes later? (a) 7:12 (b) 7:02 (c) 8:12 (d) 7:22
  33. 33.A clock shows 1:37. What time will it show 27 minutes later? (a) 3:04 (b) 1:54 (c) 2:14 (d) 2:04
  34. 34.How many degrees does the hour hand of a clock turn in 161 minutes? =
  35. 35.A clock shows 4:41. What time will it show 41 minutes later? (a) 5:22 (b) 6:22 (c) 5:32 (d) 5:12
  36. 36.A clock shows 10:37. What time will it show 32 minutes later? (a) 11:09 (b) 12:09 (c) 11:19 (d) 10:59
  37. 37.A clock shows 3:25. What time will it show 45 minutes later? (a) 5:10 (b) 4:20 (c) 4:00 (d) 4:10
  38. 38.A clock shows 1:23. What time will it show 64 minutes later? (a) 2:17 (b) 2:27 (c) 3:27 (d) 2:37
  39. 39.How many degrees does the minute hand of a clock turn in 45 minutes? =
  40. 40.A clock shows 6:59. What time will it show 29 minutes later? (a) 8:28 (b) 7:28 (c) 7:38 (d) 7:18

Answer key

  1. 10:29
  2. 114.5
  3. 10:25
  4. 6:27
  5. 6:45
  6. 168
  7. 45.5
  8. 173
  9. 336
  10. 52
  11. 77
  12. 9:46
  13. 22.5
  14. 65.5
  15. 17.5
  16. 12:29
  17. 58.5
  18. 20
  19. 69.5
  20. 86
  21. 2:23
  22. 65
  23. 147
  24. 144
  25. 37
  26. 354
  27. 146
  28. 8:56
  29. 177
  30. 4:07
  31. 246
  32. 7:12
  33. 2:04
  34. 80.5
  35. 5:22
  36. 11:09
  37. 4:10
  38. 2:27
  39. 270
  40. 7:28

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