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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 938 · 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 12:38. What time will it show 50 minutes later? (a) 1:18 (b) 1:38 (c) 2:28 (d) 1:28
  2. 2.A clock shows 2:04. What time will it show 23 minutes later? (a) 2:17 (b) 3:27 (c) 2:27 (d) 2:37
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  6. 6.A clock shows 12:41. What time will it show 68 minutes later? (a) 2:49 (b) 1:39 (c) 1:49 (d) 1:59
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 55 minutes? =
  9. 9.A clock shows 5:21. What time will it show 170 minutes later? (a) 8:01 (b) 8:11 (c) 8:21 (d) 9:11
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  11. 11.A clock shows 3:34. What time will it show 93 minutes later? (a) 5:17 (b) 4:57 (c) 5:07 (d) 6:07
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 13 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 100 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 44 minutes? =
  20. 20.A clock shows 6:48. What time will it show 60 minutes later? (a) 7:48 (b) 7:38 (c) 8:48 (d) 7:58
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 23 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 36 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  26. 26.A clock shows 3:11. What time will it show 150 minutes later? (a) 5:31 (b) 5:51 (c) 6:41 (d) 5:41
  27. 27.How many degrees does the minute hand of a clock turn in 41 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 45 minutes? =
  32. 32.A clock shows 8:13. What time will it show 122 minutes later? (a) 10:25 (b) 11:15 (c) 10:15 (d) 10:05
  33. 33.A clock shows 9:32. What time will it show 50 minutes later? (a) 11:22 (b) 10:32 (c) 10:12 (d) 10:22
  34. 34.How many degrees does the minute hand of a clock turn in 33 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  36. 36.A clock shows 6:33. What time will it show 166 minutes later? (a) 9:29 (b) 9:09 (c) 10:19 (d) 9:19
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 52 minutes? =
  39. 39.A clock shows 6:40. What time will it show 168 minutes later? (a) 9:18 (b) 10:28 (c) 9:38 (d) 9:28
  40. 40.A clock shows 4:56. What time will it show 164 minutes later? (a) 7:50 (b) 8:40 (c) 7:40 (d) 7:30

Answer key

  1. 1:28
  2. 2:27
  3. 44
  4. 56
  5. 41
  6. 1:49
  7. 174.5
  8. 330
  9. 8:11
  10. 57.5
  11. 5:07
  12. 52
  13. 78
  14. 50
  15. 174
  16. 96.5
  17. 5.5
  18. 146
  19. 264
  20. 7:48
  21. 2.5
  22. 138
  23. 46.5
  24. 18
  25. 64.5
  26. 5:41
  27. 246
  28. 75
  29. 11
  30. 67
  31. 270
  32. 10:15
  33. 10:22
  34. 198
  35. 87
  36. 9:19
  37. 155.5
  38. 26
  39. 9:28
  40. 7:40

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