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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 227 · 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 6:37. What time will it show 123 minutes later? (a) 8:40 (b) 9:40 (c) 8:50 (d) 8:30
  2. 2.How many degrees does the minute hand of a clock turn in 41 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 39 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  8. 8.A clock shows 7:18. What time will it show 37 minutes later? (a) 7:55 (b) 8:55 (c) 8:05 (d) 7:45
  9. 9.A clock shows 11:35. What time will it show 59 minutes later? (a) 1:34 (b) 12:24 (c) 12:34 (d) 12:44
  10. 10.A clock shows 12:54. What time will it show 75 minutes later? (a) 1:59 (b) 3:09 (c) 2:09 (d) 2:19
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  12. 12.A clock shows 2:04. What time will it show 78 minutes later? (a) 3:12 (b) 3:32 (c) 3:22 (d) 4:22
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  14. 14.A clock shows 4:01. What time will it show 86 minutes later? (a) 5:17 (b) 5:27 (c) 6:27 (d) 5:37
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 67 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  21. 21.A clock shows 10:31. What time will it show 142 minutes later? (a) 12:43 (b) 1:53 (c) 1:03 (d) 12:53
  22. 22.How many degrees does the hour hand of a clock turn in 49 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 7 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 2 minutes? =
  25. 25.A clock shows 2:10. What time will it show 46 minutes later? (a) 3:56 (b) 3:06 (c) 2:56 (d) 2:46
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 58 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 6 minutes? =
  30. 30.A clock shows 9:04. What time will it show 12 minutes later? (a) 10:16 (b) 9:26 (c) 9:06 (d) 9:16
  31. 31.A clock shows 11:45. What time will it show 43 minutes later? (a) 12:18 (b) 1:28 (c) 12:28 (d) 12:38
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 35 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  38. 38.A clock shows 7:36. What time will it show 30 minutes later? (a) 8:16 (b) 9:06 (c) 8:06 (d) 7:56
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =

Answer key

  1. 8:40
  2. 246
  3. 234
  4. 112.5
  5. 101.5
  6. 113
  7. 123
  8. 7:55
  9. 12:34
  10. 2:09
  11. 21
  12. 3:22
  13. 19
  14. 5:27
  15. 8.5
  16. 33.5
  17. 150.5
  18. 40
  19. 137.5
  20. 119.5
  21. 12:53
  22. 24.5
  23. 42
  24. 12
  25. 2:56
  26. 150.5
  27. 89.5
  28. 348
  29. 36
  30. 9:16
  31. 12:28
  32. 28.5
  33. 30
  34. 17.5
  35. 100.5
  36. 69
  37. 95
  38. 8:06
  39. 88.5
  40. 133.5

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