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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 535 · 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.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  3. 3.A clock shows 8:50. What time will it show 68 minutes later? (a) 10:58 (b) 9:58 (c) 10:08 (d) 9:48
  4. 4.How many degrees does the minute hand of a clock turn in 6 minutes? =
  5. 5.A clock shows 6:55. What time will it show 118 minutes later? (a) 9:03 (b) 8:43 (c) 8:53 (d) 9:53
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 26 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 84 minutes? =
  9. 9.A clock shows 8:37. What time will it show 157 minutes later? (a) 11:24 (b) 11:04 (c) 11:14 (d) 12:14
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  11. 11.A clock shows 4:26. What time will it show 161 minutes later? (a) 7:17 (b) 8:07 (c) 7:07 (d) 6:57
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  16. 16.A clock shows 11:32. What time will it show 156 minutes later? (a) 2:18 (b) 1:58 (c) 3:08 (d) 2:08
  17. 17.A clock shows 6:59. What time will it show 30 minutes later? (a) 7:29 (b) 7:19 (c) 8:29 (d) 7:39
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  20. 20.A clock shows 1:09. What time will it show 76 minutes later? (a) 2:15 (b) 2:25 (c) 3:25 (d) 2:35
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 11 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 4 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 81 minutes? =
  26. 26.A clock shows 3:21. What time will it show 109 minutes later? (a) 6:10 (b) 5:20 (c) 5:10 (d) 5:00
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  28. 28.A clock shows 5:17. What time will it show 26 minutes later? (a) 5:33 (b) 5:43 (c) 5:53 (d) 6:43
  29. 29.A clock shows 11:56. What time will it show 71 minutes later? (a) 12:57 (b) 1:07 (c) 2:07 (d) 1:17
  30. 30.A clock shows 8:43. What time will it show 45 minutes later? (a) 10:28 (b) 9:18 (c) 9:38 (d) 9:28
  31. 31.How many degrees does the hour hand of a clock turn in 134 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 174 minutes? =
  34. 34.A clock shows 11:44. What time will it show 144 minutes later? (a) 2:18 (b) 2:08 (c) 3:08 (d) 1:58
  35. 35.A clock shows 2:06. What time will it show 142 minutes later? (a) 4:18 (b) 4:38 (c) 5:28 (d) 4:28
  36. 36.How many degrees does the hour hand of a clock turn in 173 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 37 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 53 minutes? =

Answer key

  1. 59
  2. 8.5
  3. 9:58
  4. 36
  5. 8:53
  6. 165
  7. 156
  8. 42
  9. 11:14
  10. 141
  11. 7:07
  12. 20
  13. 154.5
  14. 145.5
  15. 169.5
  16. 2:08
  17. 7:29
  18. 178.5
  19. 108.5
  20. 2:25
  21. 158
  22. 66
  23. 24
  24. 148.5
  25. 40.5
  26. 5:10
  27. 126
  28. 5:43
  29. 1:07
  30. 9:28
  31. 67
  32. 144
  33. 87
  34. 2:08
  35. 4:28
  36. 86.5
  37. 222
  38. 23.5
  39. 60.5
  40. 318

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