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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 862 · 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 12:43? (in degrees) =
  2. 2.A clock shows 10:07. What time will it show 103 minutes later? (a) 11:40 (b) 12:00 (c) 12:50 (d) 11:50
  3. 3.A clock shows 6:51. What time will it show 56 minutes later? (a) 7:37 (b) 7:57 (c) 7:47 (d) 8:47
  4. 4.How many degrees does the minute hand of a clock turn in 22 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 40 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 6 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  9. 9.A clock shows 5:56. What time will it show 41 minutes later? (a) 6:27 (b) 6:47 (c) 7:37 (d) 6:37
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 15 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  18. 18.A clock shows 1:48. What time will it show 156 minutes later? (a) 4:14 (b) 4:24 (c) 5:24 (d) 4:34
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  20. 20.A clock shows 8:36. What time will it show 127 minutes later? (a) 11:43 (b) 10:53 (c) 10:43 (d) 10:33
  21. 21.How many degrees does the hour hand of a clock turn in 11 minutes? =
  22. 22.A clock shows 6:13. What time will it show 73 minutes later? (a) 7:36 (b) 7:26 (c) 7:16 (d) 8:26
  23. 23.How many degrees does the hour hand of a clock turn in 113 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 79 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 68 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  30. 30.A clock shows 8:25. What time will it show 145 minutes later? (a) 11:00 (b) 11:50 (c) 10:50 (d) 10:40
  31. 31.How many degrees does the hour hand of a clock turn in 125 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
  33. 33.A clock shows 10:44. What time will it show 117 minutes later? (a) 12:31 (b) 12:51 (c) 1:41 (d) 12:41
  34. 34.How many degrees does the minute hand of a clock turn in 28 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 44 minutes? =
  37. 37.A clock shows 1:15. What time will it show 133 minutes later? (a) 3:28 (b) 4:28 (c) 3:38 (d) 3:18
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 19 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 51 minutes? =

Answer key

  1. 123.5
  2. 11:50
  3. 7:47
  4. 132
  5. 240
  6. 6
  7. 36
  8. 137
  9. 6:37
  10. 131
  11. 173
  12. 151.5
  13. 83
  14. 174.5
  15. 13.5
  16. 90
  17. 176
  18. 4:24
  19. 60.5
  20. 10:43
  21. 5.5
  22. 7:26
  23. 56.5
  24. 79
  25. 2.5
  26. 30.5
  27. 39.5
  28. 34
  29. 114
  30. 10:50
  31. 62.5
  32. 288
  33. 12:41
  34. 168
  35. 91
  36. 22
  37. 3:28
  38. 79
  39. 114
  40. 306

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