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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 894 · 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 12:11? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 10 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  5. 5.A clock shows 3:18. What time will it show 52 minutes later? (a) 5:10 (b) 4:10 (c) 4:00 (d) 4:20
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 96 minutes? =
  8. 8.A clock shows 1:38. What time will it show 85 minutes later? (a) 3:03 (b) 4:03 (c) 3:13 (d) 2:53
  9. 9.How many degrees does the minute hand of a clock turn in 17 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 149 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 55 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  16. 16.A clock shows 9:13. What time will it show 83 minutes later? (a) 10:36 (b) 10:46 (c) 10:26 (d) 11:36
  17. 17.How many degrees does the hour hand of a clock turn in 67 minutes? =
  18. 18.A clock shows 12:10. What time will it show 67 minutes later? (a) 2:17 (b) 1:07 (c) 1:27 (d) 1:17
  19. 19.A clock shows 12:45. What time will it show 84 minutes later? (a) 2:09 (b) 3:09 (c) 2:19 (d) 1:59
  20. 20.A clock shows 5:52. What time will it show 43 minutes later? (a) 6:45 (b) 7:35 (c) 6:25 (d) 6:35
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  24. 24.A clock shows 11:12. What time will it show 168 minutes later? (a) 2:10 (b) 3:00 (c) 2:00 (d) 1:50
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 21 minutes? =
  28. 28.A clock shows 9:01. What time will it show 110 minutes later? (a) 11:01 (b) 11:51 (c) 10:51 (d) 10:41
  29. 29.A clock shows 12:53. What time will it show 14 minutes later? (a) 1:17 (b) 1:07 (c) 2:07 (d) 12:57
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
  33. 33.A clock shows 6:46. What time will it show 59 minutes later? (a) 7:45 (b) 8:45 (c) 7:55 (d) 7:35
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 57 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 23 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 137 minutes? =
  40. 40.A clock shows 10:44. What time will it show 120 minutes later? (a) 1:44 (b) 12:44 (c) 12:34 (d) 12:54

Answer key

  1. 60.5
  2. 60
  3. 29.5
  4. 75
  5. 4:10
  6. 137
  7. 48
  8. 3:03
  9. 102
  10. 168
  11. 74.5
  12. 330
  13. 126
  14. 88.5
  15. 165.5
  16. 10:36
  17. 33.5
  18. 1:17
  19. 2:09
  20. 6:35
  21. 118.5
  22. 71
  23. 178
  24. 2:00
  25. 76
  26. 60
  27. 126
  28. 10:51
  29. 1:07
  30. 58.5
  31. 27
  32. 42
  33. 7:45
  34. 176.5
  35. 174.5
  36. 342
  37. 138
  38. 3.5
  39. 68.5
  40. 12:44

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