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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 11 · 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 5:13. What time will it show 142 minutes later? (a) 7:45 (b) 7:35 (c) 8:35 (d) 7:25
  2. 2.A clock shows 4:10. What time will it show 66 minutes later? (a) 6:16 (b) 5:06 (c) 5:26 (d) 5:16
  3. 3.How many degrees does the minute hand of a clock turn in 58 minutes? =
  4. 4.A clock shows 8:53. What time will it show 155 minutes later? (a) 11:38 (b) 11:28 (c) 11:18 (d) 12:28
  5. 5.A clock shows 3:26. What time will it show 64 minutes later? (a) 4:20 (b) 4:40 (c) 5:30 (d) 4:30
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  7. 7.A clock shows 2:07. What time will it show 123 minutes later? (a) 4:20 (b) 5:10 (c) 4:10 (d) 4:00
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  9. 9.A clock shows 2:46. What time will it show 49 minutes later? (a) 3:25 (b) 3:45 (c) 4:35 (d) 3:35
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 35 minutes? =
  13. 13.A clock shows 10:01. What time will it show 56 minutes later? (a) 10:57 (b) 11:57 (c) 10:47 (d) 11:07
  14. 14.A clock shows 5:43. What time will it show 20 minutes later? (a) 6:13 (b) 5:53 (c) 7:03 (d) 6:03
  15. 15.How many degrees does the minute hand of a clock turn in 2 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 34 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 134 minutes? =
  21. 21.A clock shows 6:20. What time will it show 71 minutes later? (a) 8:31 (b) 7:41 (c) 7:21 (d) 7:31
  22. 22.How many degrees does the minute hand of a clock turn in 55 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 133 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 137 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 148 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 87 minutes? =
  28. 28.A clock shows 2:45. What time will it show 30 minutes later? (a) 3:25 (b) 3:15 (c) 4:15 (d) 3:05
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  32. 32.A clock shows 8:59. What time will it show 147 minutes later? (a) 11:16 (b) 11:36 (c) 11:26 (d) 12:26
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  34. 34.A clock shows 1:57. What time will it show 99 minutes later? (a) 3:26 (b) 3:36 (c) 4:36 (d) 3:46
  35. 35.A clock shows 6:05. What time will it show 59 minutes later? (a) 6:54 (b) 7:14 (c) 8:04 (d) 7:04
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 45 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =

Answer key

  1. 7:35
  2. 5:16
  3. 348
  4. 11:28
  5. 4:30
  6. 64
  7. 4:10
  8. 73.5
  9. 3:35
  10. 46
  11. 86
  12. 17.5
  13. 10:57
  14. 6:03
  15. 12
  16. 75
  17. 204
  18. 24
  19. 142
  20. 67
  21. 7:31
  22. 330
  23. 66.5
  24. 173
  25. 68.5
  26. 74
  27. 43.5
  28. 3:15
  29. 13
  30. 95
  31. 146.5
  32. 11:26
  33. 137
  34. 3:36
  35. 7:04
  36. 138.5
  37. 270
  38. 124
  39. 159
  40. 179

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