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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 99 · 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.How many degrees does the minute hand of a clock turn in 51 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 39 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 123 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  6. 6.A clock shows 4:34. What time will it show 48 minutes later? (a) 5:12 (b) 5:32 (c) 6:22 (d) 5:22
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 20 minutes? =
  11. 11.A clock shows 3:25. What time will it show 143 minutes later? (a) 5:58 (b) 6:48 (c) 5:48 (d) 5:38
  12. 12.How many degrees does the hour hand of a clock turn in 152 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  14. 14.A clock shows 6:27. What time will it show 58 minutes later? (a) 7:25 (b) 8:25 (c) 7:15 (d) 7:35
  15. 15.How many degrees does the hour hand of a clock turn in 16 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 125 minutes? =
  17. 17.A clock shows 10:07. What time will it show 83 minutes later? (a) 11:20 (b) 12:30 (c) 11:30 (d) 11:40
  18. 18.A clock shows 5:11. What time will it show 137 minutes later? (a) 7:38 (b) 8:28 (c) 7:28 (d) 7:18
  19. 19.How many degrees does the minute hand of a clock turn in 17 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 31 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  23. 23.A clock shows 4:00. What time will it show 96 minutes later? (a) 6:36 (b) 5:26 (c) 5:46 (d) 5:36
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 105 minutes? =
  30. 30.A clock shows 6:04. What time will it show 124 minutes later? (a) 8:18 (b) 9:08 (c) 8:08 (d) 7:58
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  33. 33.A clock shows 11:19. What time will it show 42 minutes later? (a) 12:01 (b) 11:51 (c) 12:11 (d) 1:01
  34. 34.How many degrees does the minute hand of a clock turn in 24 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  36. 36.A clock shows 7:06. What time will it show 92 minutes later? (a) 8:48 (b) 9:38 (c) 8:28 (d) 8:38
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  38. 38.A clock shows 8:33. What time will it show 109 minutes later? (a) 10:12 (b) 10:22 (c) 10:32 (d) 11:22
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =

Answer key

  1. 306
  2. 234
  3. 61.5
  4. 168.5
  5. 28.5
  6. 5:22
  7. 60.5
  8. 64
  9. 29.5
  10. 120
  11. 5:48
  12. 76
  13. 116.5
  14. 7:25
  15. 8
  16. 62.5
  17. 11:30
  18. 7:28
  19. 102
  20. 186
  21. 0
  22. 41.5
  23. 5:36
  24. 46.5
  25. 88.5
  26. 79
  27. 51
  28. 58.5
  29. 52.5
  30. 8:08
  31. 52.5
  32. 86.5
  33. 12:01
  34. 144
  35. 117.5
  36. 8:38
  37. 55.5
  38. 10:22
  39. 127.5
  40. 41.5

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