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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 96 · 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 11:03? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  5. 5.A clock shows 2:04. What time will it show 48 minutes later? (a) 3:02 (b) 2:42 (c) 3:52 (d) 2:52
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 59 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 83 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  12. 12.A clock shows 8:38. What time will it show 47 minutes later? (a) 9:15 (b) 10:25 (c) 9:25 (d) 9:35
  13. 13.How many degrees does the minute hand of a clock turn in 12 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  17. 17.A clock shows 10:10. What time will it show 143 minutes later? (a) 12:33 (b) 12:43 (c) 12:23 (d) 1:33
  18. 18.A clock shows 1:46. What time will it show 63 minutes later? (a) 2:49 (b) 2:39 (c) 3:49 (d) 2:59
  19. 19.A clock shows 3:32. What time will it show 91 minutes later? (a) 5:03 (b) 4:53 (c) 6:03 (d) 5:13
  20. 20.How many degrees does the hour hand of a clock turn in 65 minutes? =
  21. 21.A clock shows 10:10. What time will it show 109 minutes later? (a) 11:49 (b) 11:59 (c) 12:09 (d) 12:59
  22. 22.A clock shows 6:19. What time will it show 79 minutes later? (a) 7:48 (b) 8:38 (c) 7:28 (d) 7:38
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 155 minutes? =
  25. 25.A clock shows 3:31. What time will it show 19 minutes later? (a) 3:40 (b) 4:50 (c) 3:50 (d) 4:00
  26. 26.How many degrees does the minute hand of a clock turn in 24 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 56 minutes? =
  29. 29.A clock shows 7:33. What time will it show 83 minutes later? (a) 9:06 (b) 8:56 (c) 9:56 (d) 8:46
  30. 30.A clock shows 7:04. What time will it show 155 minutes later? (a) 9:29 (b) 9:49 (c) 10:39 (d) 9:39
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  33. 33.A clock shows 1:39. What time will it show 110 minutes later? (a) 3:19 (b) 4:29 (c) 3:39 (d) 3:29
  34. 34.A clock shows 11:04. What time will it show 107 minutes later? (a) 1:01 (b) 12:51 (c) 12:41 (d) 1:51
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  36. 36.A clock shows 6:53. What time will it show 168 minutes later? (a) 9:51 (b) 9:31 (c) 10:41 (d) 9:41
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  38. 38.A clock shows 1:41. What time will it show 50 minutes later? (a) 2:21 (b) 3:31 (c) 2:31 (d) 2:41
  39. 39.How many degrees does the minute hand of a clock turn in 11 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =

Answer key

  1. 46.5
  2. 21
  3. 157
  4. 51
  5. 2:52
  6. 63
  7. 354
  8. 70.5
  9. 41.5
  10. 40
  11. 151.5
  12. 9:25
  13. 72
  14. 179.5
  15. 57.5
  16. 76.5
  17. 12:33
  18. 2:49
  19. 5:03
  20. 32.5
  21. 11:59
  22. 7:38
  23. 44
  24. 77.5
  25. 3:50
  26. 144
  27. 175
  28. 336
  29. 8:56
  30. 9:39
  31. 93
  32. 104.5
  33. 3:29
  34. 12:51
  35. 115.5
  36. 9:41
  37. 97.5
  38. 2:31
  39. 66
  40. 105.5

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