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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 366 · 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 14 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 47 minutes? =
  4. 4.A clock shows 6:34. What time will it show 25 minutes later? (a) 6:49 (b) 7:09 (c) 7:59 (d) 6:59
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 21 minutes? =
  12. 12.A clock shows 1:40. What time will it show 44 minutes later? (a) 3:24 (b) 2:34 (c) 2:14 (d) 2:24
  13. 13.How many degrees does the minute hand of a clock turn in 3 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 33 minutes? =
  15. 15.A clock shows 12:10. What time will it show 45 minutes later? (a) 1:55 (b) 12:55 (c) 1:05 (d) 12:45
  16. 16.How many degrees does the hour hand of a clock turn in 88 minutes? =
  17. 17.A clock shows 10:01. What time will it show 121 minutes later? (a) 1:02 (b) 11:52 (c) 12:12 (d) 12:02
  18. 18.How many degrees does the minute hand of a clock turn in 29 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 57 minutes? =
  20. 20.A clock shows 10:20. What time will it show 86 minutes later? (a) 12:46 (b) 11:46 (c) 11:36 (d) 11:56
  21. 21.How many degrees does the minute hand of a clock turn in 5 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 18 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 24 minutes? =
  25. 25.A clock shows 12:56. What time will it show 168 minutes later? (a) 3:44 (b) 3:54 (c) 3:34 (d) 4:44
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 21 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 56 minutes? =
  29. 29.A clock shows 11:14. What time will it show 67 minutes later? (a) 1:21 (b) 12:31 (c) 12:11 (d) 12:21
  30. 30.How many degrees does the minute hand of a clock turn in 20 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 177 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 34 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 95 minutes? =
  36. 36.A clock shows 4:50. What time will it show 90 minutes later? (a) 6:10 (b) 6:30 (c) 6:20 (d) 7:20
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  39. 39.A clock shows 11:47. What time will it show 100 minutes later? (a) 1:27 (b) 1:37 (c) 1:17 (d) 2:27
  40. 40.How many degrees does the hour hand of a clock turn in 103 minutes? =

Answer key

  1. 84
  2. 12
  3. 282
  4. 6:59
  5. 99.5
  6. 7.5
  7. 35
  8. 79
  9. 106
  10. 66
  11. 126
  12. 2:24
  13. 18
  14. 16.5
  15. 12:55
  16. 44
  17. 12:02
  18. 174
  19. 28.5
  20. 11:46
  21. 30
  22. 108
  23. 58.5
  24. 144
  25. 3:44
  26. 166.5
  27. 10.5
  28. 336
  29. 12:21
  30. 120
  31. 88.5
  32. 117
  33. 145
  34. 17
  35. 47.5
  36. 6:20
  37. 136.5
  38. 14.5
  39. 1:27
  40. 51.5

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