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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 390 · 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 3:30? (in degrees) =
  2. 2.A clock shows 2:37. What time will it show 91 minutes later? (a) 3:58 (b) 5:08 (c) 4:18 (d) 4:08
  3. 3.A clock shows 6:41. What time will it show 120 minutes later? (a) 9:41 (b) 8:51 (c) 8:41 (d) 8:31
  4. 4.A clock shows 7:29. What time will it show 164 minutes later? (a) 10:23 (b) 10:03 (c) 11:13 (d) 10:13
  5. 5.A clock shows 8:04. What time will it show 81 minutes later? (a) 9:15 (b) 9:25 (c) 10:25 (d) 9:35
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  7. 7.A clock shows 6:54. What time will it show 167 minutes later? (a) 9:51 (b) 9:31 (c) 10:41 (d) 9:41
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  13. 13.A clock shows 11:05. What time will it show 144 minutes later? (a) 1:29 (b) 1:39 (c) 2:29 (d) 1:19
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  15. 15.A clock shows 4:10. What time will it show 14 minutes later? (a) 4:24 (b) 5:24 (c) 4:34 (d) 4:14
  16. 16.How many degrees does the minute hand of a clock turn in 4 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 5 minutes? =
  18. 18.A clock shows 1:01. What time will it show 49 minutes later? (a) 2:50 (b) 1:40 (c) 2:00 (d) 1:50
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  20. 20.A clock shows 4:25. What time will it show 78 minutes later? (a) 5:33 (b) 6:43 (c) 5:53 (d) 5:43
  21. 21.How many degrees does the hour hand of a clock turn in 178 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 9 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 126 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  27. 27.A clock shows 4:25. What time will it show 83 minutes later? (a) 5:58 (b) 6:48 (c) 5:48 (d) 5:38
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  29. 29.A clock shows 5:04. What time will it show 17 minutes later? (a) 6:21 (b) 5:11 (c) 5:31 (d) 5:21
  30. 30.How many degrees does the hour hand of a clock turn in 123 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  32. 32.A clock shows 1:25. What time will it show 163 minutes later? (a) 3:58 (b) 5:08 (c) 4:18 (d) 4:08
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 6 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 43 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 37 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 29 minutes? =

Answer key

  1. 75
  2. 4:08
  3. 8:41
  4. 10:13
  5. 9:25
  6. 104.5
  7. 9:41
  8. 77.5
  9. 36.5
  10. 5.5
  11. 64
  12. 59.5
  13. 1:29
  14. 82.5
  15. 4:24
  16. 24
  17. 30
  18. 1:50
  19. 43.5
  20. 5:43
  21. 89
  22. 112.5
  23. 54
  24. 84.5
  25. 63
  26. 167
  27. 5:48
  28. 19.5
  29. 5:21
  30. 61.5
  31. 163.5
  32. 4:08
  33. 97
  34. 135
  35. 14.5
  36. 36
  37. 147
  38. 258
  39. 222
  40. 174

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