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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 334 · 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 5:46. What time will it show 59 minutes later? (a) 6:35 (b) 6:45 (c) 6:55 (d) 7:45
  2. 2.How many degrees does the hour hand of a clock turn in 55 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 46 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 31 minutes? =
  7. 7.A clock shows 1:55. What time will it show 13 minutes later? (a) 2:08 (b) 3:08 (c) 2:18 (d) 1:58
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 98 minutes? =
  10. 10.A clock shows 3:16. What time will it show 153 minutes later? (a) 6:49 (b) 5:59 (c) 5:39 (d) 5:49
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  13. 13.A clock shows 10:52. What time will it show 42 minutes later? (a) 11:44 (b) 11:34 (c) 11:24 (d) 12:34
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 52 minutes? =
  16. 16.A clock shows 5:01. What time will it show 66 minutes later? (a) 7:07 (b) 5:57 (c) 6:07 (d) 6:17
  17. 17.How many degrees does the minute hand of a clock turn in 48 minutes? =
  18. 18.A clock shows 9:12. What time will it show 79 minutes later? (a) 10:21 (b) 11:31 (c) 10:31 (d) 10:41
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  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 3:49. What time will it show 94 minutes later? (a) 5:13 (b) 6:23 (c) 5:23 (d) 5:33
  22. 22.How many degrees does the minute hand of a clock turn in 5 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 32 minutes? =
  26. 26.A clock shows 3:54. What time will it show 48 minutes later? (a) 4:52 (b) 4:42 (c) 4:32 (d) 5:42
  27. 27.A clock shows 1:39. What time will it show 76 minutes later? (a) 3:05 (b) 2:45 (c) 3:55 (d) 2:55
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 19 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 8 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 81 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 113 minutes? =
  34. 34.A clock shows 5:28. What time will it show 148 minutes later? (a) 8:56 (b) 7:56 (c) 8:06 (d) 7:46
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 6 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 118 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 47 minutes? =
  40. 40.A clock shows 7:32. What time will it show 99 minutes later? (a) 9:21 (b) 9:01 (c) 9:11 (d) 10:11

Answer key

  1. 6:45
  2. 27.5
  3. 23
  4. 168.5
  5. 106.5
  6. 15.5
  7. 2:08
  8. 45
  9. 49
  10. 5:49
  11. 131.5
  12. 146
  13. 11:34
  14. 72
  15. 312
  16. 6:07
  17. 288
  18. 10:31
  19. 109.5
  20. 128
  21. 5:23
  22. 30
  23. 21
  24. 28
  25. 192
  26. 4:42
  27. 2:55
  28. 44
  29. 114
  30. 48
  31. 13.5
  32. 40.5
  33. 56.5
  34. 7:56
  35. 3
  36. 63
  37. 36
  38. 59
  39. 282
  40. 9:11

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