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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 586 · 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 11:58? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  3. 3.A clock shows 6:08. What time will it show 95 minutes later? (a) 7:33 (b) 7:43 (c) 7:53 (d) 8:43
  4. 4.How many degrees does the hour hand of a clock turn in 126 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 74 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  11. 11.A clock shows 7:27. What time will it show 31 minutes later? (a) 7:58 (b) 7:48 (c) 8:58 (d) 8:08
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  13. 13.A clock shows 12:36. What time will it show 101 minutes later? (a) 3:17 (b) 2:07 (c) 2:27 (d) 2:17
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 8 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 58 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 160 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 10 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  23. 23.A clock shows 6:59. What time will it show 11 minutes later? (a) 7:10 (b) 8:10 (c) 7:20 (d) 7:00
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  26. 26.A clock shows 4:50. What time will it show 134 minutes later? (a) 8:04 (b) 7:14 (c) 7:04 (d) 6:54
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  28. 28.A clock shows 3:27. What time will it show 99 minutes later? (a) 6:06 (b) 5:16 (c) 5:06 (d) 4:56
  29. 29.How many degrees does the hour hand of a clock turn in 30 minutes? =
  30. 30.A clock shows 12:54. What time will it show 61 minutes later? (a) 2:55 (b) 2:05 (c) 1:45 (d) 1:55
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 71 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  37. 37.A clock shows 7:39. What time will it show 58 minutes later? (a) 8:37 (b) 8:47 (c) 8:27 (d) 9:37
  38. 38.How many degrees does the minute hand of a clock turn in 9 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =

Answer key

  1. 11
  2. 108
  3. 7:43
  4. 63
  5. 37
  6. 112.5
  7. 80
  8. 116.5
  9. 162.5
  10. 84
  11. 7:58
  12. 130
  13. 2:17
  14. 47.5
  15. 48
  16. 106
  17. 348
  18. 80
  19. 78.5
  20. 60
  21. 41.5
  22. 40
  23. 7:10
  24. 30.5
  25. 109.5
  26. 7:04
  27. 112.5
  28. 5:06
  29. 15
  30. 1:55
  31. 108
  32. 84.5
  33. 93.5
  34. 35.5
  35. 156
  36. 90
  37. 8:37
  38. 54
  39. 179.5
  40. 89.5

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