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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 717 · 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 3:47? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 46 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 28 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 63 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 14 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 46 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 85 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 116 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 35 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  17. 17.A clock shows 1:18. What time will it show 22 minutes later? (a) 1:40 (b) 2:40 (c) 1:30 (d) 1:50
  18. 18.How many degrees does the hour hand of a clock turn in 28 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 174 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 112 minutes? =
  21. 21.A clock shows 12:27. What time will it show 90 minutes later? (a) 1:47 (b) 2:57 (c) 2:07 (d) 1:57
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 20 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  26. 26.A clock shows 12:46. What time will it show 44 minutes later? (a) 1:40 (b) 1:20 (c) 2:30 (d) 1:30
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 107 minutes? =
  29. 29.A clock shows 12:06. What time will it show 167 minutes later? (a) 3:53 (b) 3:03 (c) 2:53 (d) 2:43
  30. 30.A clock shows 1:27. What time will it show 66 minutes later? (a) 3:33 (b) 2:43 (c) 2:33 (d) 2:23
  31. 31.A clock shows 11:19. What time will it show 64 minutes later? (a) 1:23 (b) 12:13 (c) 12:33 (d) 12:23
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  33. 33.A clock shows 5:40. What time will it show 29 minutes later? (a) 6:19 (b) 5:59 (c) 7:09 (d) 6:09
  34. 34.A clock shows 6:37. What time will it show 156 minutes later? (a) 9:23 (b) 9:13 (c) 10:13 (d) 9:03
  35. 35.How many degrees does the hour hand of a clock turn in 102 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 52 minutes? =
  37. 37.A clock shows 10:56. What time will it show 169 minutes later? (a) 2:45 (b) 1:45 (c) 1:55 (d) 1:35
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 56 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 31 minutes? =

Answer key

  1. 168.5
  2. 264
  3. 122
  4. 276
  5. 62.5
  6. 168
  7. 31.5
  8. 49
  9. 7
  10. 23
  11. 88
  12. 103
  13. 42.5
  14. 58
  15. 17.5
  16. 109.5
  17. 1:40
  18. 14
  19. 87
  20. 56
  21. 1:57
  22. 3
  23. 120
  24. 35
  25. 86.5
  26. 1:30
  27. 103.5
  28. 53.5
  29. 2:53
  30. 2:33
  31. 12:23
  32. 164
  33. 6:09
  34. 9:13
  35. 51
  36. 26
  37. 1:45
  38. 63
  39. 336
  40. 186

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