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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 319 · 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.A clock shows 10:00. What time will it show 69 minutes later? (a) 11:19 (b) 12:09 (c) 10:59 (d) 11:09
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 33 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 174 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 130 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  9. 9.A clock shows 11:08. What time will it show 96 minutes later? (a) 12:44 (b) 1:44 (c) 12:54 (d) 12:34
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 29 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 11 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  14. 14.A clock shows 5:34. What time will it show 38 minutes later? (a) 6:22 (b) 6:12 (c) 7:12 (d) 6:02
  15. 15.How many degrees does the hour hand of a clock turn in 94 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  17. 17.A clock shows 8:41. What time will it show 79 minutes later? (a) 10:00 (b) 10:10 (c) 9:50 (d) 11:00
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  19. 19.A clock shows 8:37. What time will it show 20 minutes later? (a) 9:57 (b) 9:07 (c) 8:57 (d) 8:47
  20. 20.A clock shows 6:29. What time will it show 18 minutes later? (a) 6:47 (b) 7:47 (c) 6:37 (d) 6:57
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 23 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 3 minutes? =
  25. 25.A clock shows 3:32. What time will it show 24 minutes later? (a) 3:46 (b) 4:56 (c) 4:06 (d) 3:56
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  27. 27.A clock shows 7:02. What time will it show 60 minutes later? (a) 8:02 (b) 8:12 (c) 9:02 (d) 7:52
  28. 28.A clock shows 5:45. What time will it show 27 minutes later? (a) 6:12 (b) 6:02 (c) 6:22 (d) 7:12
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 47 minutes? =
  31. 31.A clock shows 9:58. What time will it show 88 minutes later? (a) 12:26 (b) 11:36 (c) 11:26 (d) 11:16
  32. 32.How many degrees does the hour hand of a clock turn in 131 minutes? =
  33. 33.A clock shows 7:59. What time will it show 82 minutes later? (a) 9:11 (b) 10:21 (c) 9:21 (d) 9:31
  34. 34.A clock shows 4:54. What time will it show 138 minutes later? (a) 7:22 (b) 7:12 (c) 7:02 (d) 8:12
  35. 35.How many degrees does the minute hand of a clock turn in 58 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 6 minutes? =
  38. 38.A clock shows 9:42. What time will it show 98 minutes later? (a) 11:10 (b) 11:20 (c) 12:20 (d) 11:30
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =

Answer key

  1. 11:09
  2. 140.5
  3. 16.5
  4. 30
  5. 180
  6. 87
  7. 65
  8. 120
  9. 12:44
  10. 119
  11. 174
  12. 66
  13. 170.5
  14. 6:12
  15. 47
  16. 76
  17. 10:00
  18. 141.5
  19. 8:57
  20. 6:47
  21. 151.5
  22. 153.5
  23. 138
  24. 18
  25. 3:56
  26. 43
  27. 8:02
  28. 6:12
  29. 39.5
  30. 282
  31. 11:26
  32. 65.5
  33. 9:21
  34. 7:12
  35. 348
  36. 131
  37. 36
  38. 11:20
  39. 31.5
  40. 44.5

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