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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 415 · 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 24 minutes? =
  2. 2.A clock shows 6:14. What time will it show 13 minutes later? (a) 7:27 (b) 6:17 (c) 6:27 (d) 6:37
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 130 minutes? =
  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 3:48. What time will it show 120 minutes later? (a) 6:48 (b) 5:58 (c) 5:38 (d) 5:48
  11. 11.A clock shows 12:06. What time will it show 79 minutes later? (a) 2:25 (b) 1:25 (c) 1:15 (d) 1:35
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  13. 13.A clock shows 6:26. What time will it show 78 minutes later? (a) 7:54 (b) 8:44 (c) 7:44 (d) 7:34
  14. 14.A clock shows 7:11. What time will it show 67 minutes later? (a) 8:28 (b) 8:08 (c) 9:18 (d) 8:18
  15. 15.How many degrees does the hour hand of a clock turn in 39 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  17. 17.A clock shows 8:38. What time will it show 42 minutes later? (a) 9:10 (b) 9:20 (c) 9:30 (d) 10:20
  18. 18.A clock shows 6:55. What time will it show 26 minutes later? (a) 7:11 (b) 7:21 (c) 7:31 (d) 8:21
  19. 19.A clock shows 3:11. What time will it show 140 minutes later? (a) 5:21 (b) 5:41 (c) 6:31 (d) 5:31
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  21. 21.A clock shows 12:12. What time will it show 104 minutes later? (a) 2:06 (b) 2:56 (c) 1:46 (d) 1:56
  22. 22.How many degrees does the hour hand of a clock turn in 142 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 10 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 49 minutes? =
  26. 26.A clock shows 10:59. What time will it show 95 minutes later? (a) 12:24 (b) 12:34 (c) 1:34 (d) 12:44
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 44 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 168 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 41 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  32. 32.A clock shows 10:52. What time will it show 118 minutes later? (a) 1:00 (b) 1:50 (c) 12:50 (d) 12:40
  33. 33.A clock shows 4:59. What time will it show 10 minutes later? (a) 5:19 (b) 6:09 (c) 5:09 (d) 4:59
  34. 34.How many degrees does the hour hand of a clock turn in 135 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 23 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  37. 37.A clock shows 6:58. What time will it show 26 minutes later? (a) 7:24 (b) 8:24 (c) 7:14 (d) 7:34
  38. 38.How many degrees does the minute hand of a clock turn in 16 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 30 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =

Answer key

  1. 12
  2. 6:27
  3. 120.5
  4. 66.5
  5. 48
  6. 167
  7. 5.5
  8. 65
  9. 41
  10. 5:48
  11. 1:25
  12. 54.5
  13. 7:44
  14. 8:18
  15. 19.5
  16. 61
  17. 9:20
  18. 7:21
  19. 5:31
  20. 128
  21. 1:56
  22. 71
  23. 163
  24. 60
  25. 294
  26. 12:34
  27. 41
  28. 264
  29. 84
  30. 20.5
  31. 131
  32. 12:50
  33. 5:09
  34. 67.5
  35. 138
  36. 111.5
  37. 7:24
  38. 96
  39. 180
  40. 165.5

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