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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 596 · 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 hour hand of a clock turn in 109 minutes? =
  2. 2.A clock shows 7:06. What time will it show 98 minutes later? (a) 8:54 (b) 9:44 (c) 8:34 (d) 8:44
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 158 minutes? =
  5. 5.A clock shows 6:57. What time will it show 166 minutes later? (a) 10:43 (b) 9:33 (c) 9:53 (d) 9:43
  6. 6.How many degrees does the hour hand of a clock turn in 170 minutes? =
  7. 7.A clock shows 11:06. What time will it show 89 minutes later? (a) 12:25 (b) 12:35 (c) 12:45 (d) 1:35
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  10. 10.A clock shows 9:41. What time will it show 169 minutes later? (a) 12:40 (b) 12:30 (c) 1:30 (d) 12:20
  11. 11.How many degrees does the hour hand of a clock turn in 162 minutes? =
  12. 12.A clock shows 3:08. What time will it show 10 minutes later? (a) 4:18 (b) 3:28 (c) 3:18 (d) 3:08
  13. 13.A clock shows 9:40. What time will it show 80 minutes later? (a) 11:00 (b) 10:50 (c) 11:10 (d) 12:00
  14. 14.How many degrees does the hour hand of a clock turn in 12 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 23 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 5 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 76 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  21. 21.A clock shows 3:51. What time will it show 14 minutes later? (a) 4:05 (b) 4:15 (c) 5:05 (d) 3:55
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 22 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  25. 25.A clock shows 2:44. What time will it show 113 minutes later? (a) 5:37 (b) 4:47 (c) 4:27 (d) 4:37
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  27. 27.A clock shows 2:55. What time will it show 29 minutes later? (a) 3:34 (b) 4:24 (c) 3:24 (d) 3:14
  28. 28.How many degrees does the minute hand of a clock turn in 28 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  31. 31.A clock shows 7:58. What time will it show 49 minutes later? (a) 9:47 (b) 8:37 (c) 8:47 (d) 8:57
  32. 32.How many degrees does the hour hand of a clock turn in 78 minutes? =
  33. 33.A clock shows 8:39. What time will it show 71 minutes later? (a) 9:40 (b) 10:00 (c) 10:50 (d) 9:50
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 48 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 180 minutes? =
  38. 38.A clock shows 12:13. What time will it show 130 minutes later? (a) 3:23 (b) 2:23 (c) 2:13 (d) 2:33
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =

Answer key

  1. 54.5
  2. 8:44
  3. 55
  4. 79
  5. 9:43
  6. 85
  7. 12:35
  8. 35.5
  9. 41
  10. 12:30
  11. 81
  12. 3:18
  13. 11:00
  14. 6
  15. 99
  16. 51
  17. 138
  18. 30
  19. 38
  20. 102.5
  21. 4:05
  22. 79.5
  23. 11
  24. 133.5
  25. 4:37
  26. 174.5
  27. 3:24
  28. 168
  29. 126
  30. 138.5
  31. 8:47
  32. 39
  33. 9:50
  34. 126
  35. 288
  36. 104
  37. 90
  38. 2:23
  39. 177.5
  40. 143

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