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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 950 · 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 3:23. What time will it show 57 minutes later? (a) 4:30 (b) 5:20 (c) 4:10 (d) 4:20
  2. 2.How many degrees does the hour hand of a clock turn in 76 minutes? =
  3. 3.A clock shows 8:41. What time will it show 51 minutes later? (a) 10:32 (b) 9:32 (c) 9:22 (d) 9:42
  4. 4.How many degrees does the hour hand of a clock turn in 47 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 30 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 19 minutes? =
  11. 11.A clock shows 10:14. What time will it show 163 minutes later? (a) 1:57 (b) 1:07 (c) 12:47 (d) 12:57
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 48 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 11:06? (in degrees) =
  20. 20.A clock shows 1:09. What time will it show 90 minutes later? (a) 2:49 (b) 3:39 (c) 2:39 (d) 2:29
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 171 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 66 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 7 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 54 minutes? =
  26. 26.A clock shows 4:17. What time will it show 39 minutes later? (a) 5:06 (b) 4:56 (c) 5:56 (d) 4:46
  27. 27.A clock shows 9:06. What time will it show 154 minutes later? (a) 11:40 (b) 12:40 (c) 11:30 (d) 11:50
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  32. 32.A clock shows 6:26. What time will it show 150 minutes later? (a) 9:56 (b) 8:46 (c) 8:56 (d) 9:06
  33. 33.A clock shows 12:33. What time will it show 100 minutes later? (a) 2:23 (b) 2:03 (c) 3:13 (d) 2:13
  34. 34.How many degrees does the minute hand of a clock turn in 16 minutes? =
  35. 35.A clock shows 7:00. What time will it show 138 minutes later? (a) 9:28 (b) 9:18 (c) 9:08 (d) 10:18
  36. 36.How many degrees does the hour hand of a clock turn in 154 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 102 minutes? =

Answer key

  1. 4:20
  2. 38
  3. 9:32
  4. 23.5
  5. 166.5
  6. 26.5
  7. 180
  8. 68
  9. 59
  10. 114
  11. 12:57
  12. 82
  13. 97.5
  14. 18.5
  15. 102.5
  16. 159
  17. 288
  18. 27
  19. 63
  20. 2:39
  21. 46
  22. 85.5
  23. 33
  24. 42
  25. 324
  26. 4:56
  27. 11:40
  28. 62
  29. 36.5
  30. 165
  31. 66
  32. 8:56
  33. 2:13
  34. 96
  35. 9:18
  36. 77
  37. 153.5
  38. 149.5
  39. 30
  40. 51

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