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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 152 · 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 2:45? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 27 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 135 minutes? =
  7. 7.A clock shows 10:40. What time will it show 117 minutes later? (a) 12:47 (b) 1:37 (c) 12:27 (d) 12:37
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 17 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 12 minutes? =
  13. 13.A clock shows 2:05. What time will it show 135 minutes later? (a) 4:10 (b) 4:20 (c) 5:20 (d) 4:30
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 2 minutes? =
  20. 20.A clock shows 1:31. What time will it show 41 minutes later? (a) 2:22 (b) 2:02 (c) 3:12 (d) 2:12
  21. 21.A clock shows 12:03. What time will it show 130 minutes later? (a) 2:03 (b) 2:13 (c) 2:23 (d) 3:13
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 81 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 39 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 24 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 42 minutes? =
  28. 28.A clock shows 3:58. What time will it show 95 minutes later? (a) 6:33 (b) 5:43 (c) 5:23 (d) 5:33
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  30. 30.A clock shows 11:01. What time will it show 114 minutes later? (a) 1:55 (b) 12:45 (c) 1:05 (d) 12:55
  31. 31.How many degrees does the minute hand of a clock turn in 34 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 42 minutes? =
  33. 33.A clock shows 4:09. What time will it show 36 minutes later? (a) 4:35 (b) 5:45 (c) 4:55 (d) 4:45
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  35. 35.A clock shows 1:31. What time will it show 132 minutes later? (a) 3:53 (b) 3:33 (c) 3:43 (d) 4:43
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  37. 37.A clock shows 12:53. What time will it show 72 minutes later? (a) 2:15 (b) 3:05 (c) 2:05 (d) 1:55
  38. 38.A clock shows 10:33. What time will it show 90 minutes later? (a) 12:03 (b) 11:53 (c) 1:03 (d) 12:13
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =

Answer key

  1. 172.5
  2. 13.5
  3. 68.5
  4. 106.5
  5. 58.5
  6. 67.5
  7. 12:37
  8. 154.5
  9. 92
  10. 33
  11. 8.5
  12. 72
  13. 4:20
  14. 102
  15. 146.5
  16. 158.5
  17. 54.5
  18. 57
  19. 12
  20. 2:12
  21. 2:13
  22. 14.5
  23. 40.5
  24. 19.5
  25. 144
  26. 42.5
  27. 252
  28. 5:33
  29. 16
  30. 12:55
  31. 204
  32. 21
  33. 4:45
  34. 84.5
  35. 3:43
  36. 71.5
  37. 2:05
  38. 12:03
  39. 74.5
  40. 175.5

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