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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 889 · 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 minute hand of a clock turn in 19 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  4. 4.A clock shows 5:41. What time will it show 109 minutes later? (a) 7:30 (b) 7:40 (c) 7:20 (d) 8:30
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  6. 6.A clock shows 3:24. What time will it show 157 minutes later? (a) 5:51 (b) 6:01 (c) 6:11 (d) 7:01
  7. 7.A clock shows 7:48. What time will it show 115 minutes later? (a) 9:53 (b) 9:33 (c) 9:43 (d) 10:43
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 2 minutes? =
  11. 11.A clock shows 2:26. What time will it show 44 minutes later? (a) 4:10 (b) 3:10 (c) 3:00 (d) 3:20
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 167 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 81 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 76 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  22. 22.A clock shows 8:11. What time will it show 114 minutes later? (a) 11:05 (b) 9:55 (c) 10:15 (d) 10:05
  23. 23.How many degrees does the hour hand of a clock turn in 92 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 127 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 12 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 26 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 126 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 13 minutes? =
  38. 38.A clock shows 9:52. What time will it show 100 minutes later? (a) 11:32 (b) 11:22 (c) 11:42 (d) 12:32
  39. 39.A clock shows 1:31. What time will it show 39 minutes later? (a) 3:10 (b) 2:20 (c) 2:00 (d) 2:10
  40. 40.How many degrees does the hour hand of a clock turn in 139 minutes? =

Answer key

  1. 114
  2. 155.5
  3. 69
  4. 7:30
  5. 85.5
  6. 6:01
  7. 9:43
  8. 139
  9. 24.5
  10. 12
  11. 3:10
  12. 121.5
  13. 83.5
  14. 15.5
  15. 40.5
  16. 72.5
  17. 142.5
  18. 38
  19. 23
  20. 128
  21. 105.5
  22. 10:05
  23. 46
  24. 63.5
  25. 16.5
  26. 6
  27. 94.5
  28. 117.5
  29. 156
  30. 135.5
  31. 55
  32. 171
  33. 164.5
  34. 123
  35. 40.5
  36. 63
  37. 78
  38. 11:32
  39. 2:10
  40. 69.5

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