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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 574 · 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 12:46. What time will it show 52 minutes later? (a) 1:38 (b) 1:28 (c) 2:38 (d) 1:48
  2. 2.A clock shows 6:01. What time will it show 77 minutes later? (a) 8:18 (b) 7:28 (c) 7:18 (d) 7:08
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  4. 4.A clock shows 2:42. What time will it show 24 minutes later? (a) 2:56 (b) 3:06 (c) 3:16 (d) 4:06
  5. 5.How many degrees does the minute hand of a clock turn in 37 minutes? =
  6. 6.A clock shows 5:55. What time will it show 132 minutes later? (a) 9:07 (b) 8:07 (c) 8:17 (d) 7:57
  7. 7.How many degrees does the hour hand of a clock turn in 154 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  10. 10.A clock shows 1:12. What time will it show 165 minutes later? (a) 4:07 (b) 3:57 (c) 4:57 (d) 3:47
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  12. 12.A clock shows 3:18. What time will it show 97 minutes later? (a) 4:55 (b) 5:05 (c) 5:55 (d) 4:45
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 9 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 54 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 24 minutes? =
  21. 21.A clock shows 3:57. What time will it show 167 minutes later? (a) 6:34 (b) 6:44 (c) 7:44 (d) 6:54
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  23. 23.A clock shows 1:07. What time will it show 37 minutes later? (a) 1:44 (b) 2:44 (c) 1:54 (d) 1:34
  24. 24.A clock shows 6:13. What time will it show 96 minutes later? (a) 7:49 (b) 8:49 (c) 7:59 (d) 7:39
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 86 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 82 minutes? =
  28. 28.A clock shows 3:06. What time will it show 51 minutes later? (a) 4:57 (b) 4:07 (c) 3:57 (d) 3:47
  29. 29.A clock shows 2:26. What time will it show 156 minutes later? (a) 5:12 (b) 6:02 (c) 4:52 (d) 5:02
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 25 minutes? =
  32. 32.A clock shows 5:11. What time will it show 40 minutes later? (a) 5:51 (b) 5:41 (c) 6:51 (d) 6:01
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  37. 37.A clock shows 11:43. What time will it show 57 minutes later? (a) 12:50 (b) 12:40 (c) 12:30 (d) 1:40
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =

Answer key

  1. 1:38
  2. 7:18
  3. 65.5
  4. 3:06
  5. 222
  6. 8:07
  7. 77
  8. 96
  9. 86
  10. 3:57
  11. 152
  12. 4:55
  13. 156.5
  14. 19.5
  15. 34
  16. 80
  17. 54
  18. 27
  19. 103
  20. 144
  21. 6:44
  22. 143
  23. 1:44
  24. 7:49
  25. 73
  26. 43
  27. 41
  28. 3:57
  29. 5:02
  30. 88
  31. 150
  32. 5:51
  33. 55
  34. 33.5
  35. 115.5
  36. 170
  37. 12:40
  38. 61.5
  39. 82
  40. 16

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