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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 737 · 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 5:46. What time will it show 11 minutes later? (a) 6:57 (b) 5:47 (c) 6:07 (d) 5:57
  2. 2.A clock shows 2:33. What time will it show 19 minutes later? (a) 3:02 (b) 2:42 (c) 3:52 (d) 2:52
  3. 3.A clock shows 3:26. What time will it show 162 minutes later? (a) 6:08 (b) 5:58 (c) 7:08 (d) 6:18
  4. 4.A clock shows 11:44. What time will it show 53 minutes later? (a) 12:47 (b) 1:37 (c) 12:27 (d) 12:37
  5. 5.A clock shows 8:34. What time will it show 129 minutes later? (a) 10:33 (b) 10:53 (c) 10:43 (d) 11:43
  6. 6.A clock shows 3:45. What time will it show 83 minutes later? (a) 6:08 (b) 4:58 (c) 5:08 (d) 5:18
  7. 7.How many degrees does the hour hand of a clock turn in 38 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  9. 9.A clock shows 1:51. What time will it show 20 minutes later? (a) 2:21 (b) 3:11 (c) 2:01 (d) 2:11
  10. 10.How many degrees does the minute hand of a clock turn in 17 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 18 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 31 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  15. 15.A clock shows 8:18. What time will it show 144 minutes later? (a) 11:42 (b) 10:52 (c) 10:42 (d) 10:32
  16. 16.A clock shows 3:05. What time will it show 15 minutes later? (a) 4:20 (b) 3:30 (c) 3:20 (d) 3:10
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 118 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  21. 21.A clock shows 2:14. What time will it show 125 minutes later? (a) 4:19 (b) 4:29 (c) 4:09 (d) 5:19
  22. 22.How many degrees does the minute hand of a clock turn in 15 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 114 minutes? =
  24. 24.A clock shows 8:05. What time will it show 44 minutes later? (a) 9:49 (b) 8:39 (c) 8:59 (d) 8:49
  25. 25.How many degrees does the hour hand of a clock turn in 85 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 11 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 168 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  30. 30.A clock shows 9:13. What time will it show 166 minutes later? (a) 11:49 (b) 12:59 (c) 12:09 (d) 11:59
  31. 31.How many degrees does the minute hand of a clock turn in 32 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 30 minutes? =
  33. 33.A clock shows 3:50. What time will it show 10 minutes later? (a) 5:00 (b) 3:50 (c) 4:00 (d) 4:10
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  36. 36.A clock shows 4:27. What time will it show 136 minutes later? (a) 7:43 (b) 6:53 (c) 6:43 (d) 6:33
  37. 37.A clock shows 7:27. What time will it show 147 minutes later? (a) 9:44 (b) 10:54 (c) 10:04 (d) 9:54
  38. 38.A clock shows 9:27. What time will it show 35 minutes later? (a) 11:02 (b) 10:02 (c) 9:52 (d) 10:12
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =

Answer key

  1. 5:57
  2. 2:52
  3. 6:08
  4. 12:37
  5. 10:43
  6. 5:08
  7. 19
  8. 88
  9. 2:11
  10. 102
  11. 85.5
  12. 108
  13. 186
  14. 43
  15. 10:42
  16. 3:20
  17. 3
  18. 59
  19. 54.5
  20. 17
  21. 4:19
  22. 90
  23. 57
  24. 8:49
  25. 42.5
  26. 18
  27. 5.5
  28. 84
  29. 78
  30. 11:59
  31. 192
  32. 15
  33. 4:00
  34. 169
  35. 173.5
  36. 6:43
  37. 9:54
  38. 10:02
  39. 107
  40. 141

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