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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 548 · 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 57 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  5. 5.A clock shows 3:09. What time will it show 145 minutes later? (a) 6:34 (b) 5:34 (c) 5:24 (d) 5:44
  6. 6.A clock shows 7:30. What time will it show 149 minutes later? (a) 10:59 (b) 9:59 (c) 9:49 (d) 10:09
  7. 7.A clock shows 11:40. What time will it show 115 minutes later? (a) 1:25 (b) 1:35 (c) 2:35 (d) 1:45
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 87 minutes? =
  12. 12.A clock shows 11:09. What time will it show 80 minutes later? (a) 1:29 (b) 12:29 (c) 12:19 (d) 12:39
  13. 13.How many degrees does the hour hand of a clock turn in 73 minutes? =
  14. 14.A clock shows 1:39. What time will it show 105 minutes later? (a) 3:34 (b) 3:14 (c) 4:24 (d) 3:24
  15. 15.How many degrees does the hour hand of a clock turn in 92 minutes? =
  16. 16.A clock shows 1:51. What time will it show 75 minutes later? (a) 3:06 (b) 2:56 (c) 4:06 (d) 3:16
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 16 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  20. 20.A clock shows 6:05. What time will it show 16 minutes later? (a) 6:21 (b) 6:31 (c) 7:21 (d) 6:11
  21. 21.A clock shows 9:47. What time will it show 88 minutes later? (a) 12:15 (b) 11:05 (c) 11:15 (d) 11:25
  22. 22.A clock shows 11:59. What time will it show 107 minutes later? (a) 1:36 (b) 2:46 (c) 1:56 (d) 1:46
  23. 23.A clock shows 11:09. What time will it show 170 minutes later? (a) 2:09 (b) 2:59 (c) 1:49 (d) 1:59
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 14 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 130 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 157 minutes? =
  33. 33.A clock shows 9:59. What time will it show 90 minutes later? (a) 11:39 (b) 11:19 (c) 12:29 (d) 11:29
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  37. 37.A clock shows 5:55. What time will it show 47 minutes later? (a) 7:42 (b) 6:52 (c) 6:32 (d) 6:42
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =

Answer key

  1. 342
  2. 20
  3. 77.5
  4. 60.5
  5. 5:34
  6. 9:59
  7. 1:35
  8. 104
  9. 49
  10. 49
  11. 43.5
  12. 12:29
  13. 36.5
  14. 3:24
  15. 46
  16. 3:06
  17. 13
  18. 96
  19. 157.5
  20. 6:21
  21. 11:15
  22. 1:46
  23. 1:59
  24. 109.5
  25. 2
  26. 16.5
  27. 96
  28. 100
  29. 25
  30. 84
  31. 65
  32. 78.5
  33. 11:29
  34. 126.5
  35. 24.5
  36. 109
  37. 6:42
  38. 114.5
  39. 57
  40. 52.5

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