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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 181 · 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 44 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 56 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 147 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 127 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 2 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 59 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  11. 11.A clock shows 12:46. What time will it show 156 minutes later? (a) 4:22 (b) 3:12 (c) 3:22 (d) 3:32
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  13. 13.A clock shows 6:49. What time will it show 132 minutes later? (a) 8:51 (b) 10:01 (c) 9:11 (d) 9:01
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  17. 17.A clock shows 6:49. What time will it show 37 minutes later? (a) 7:16 (b) 7:26 (c) 8:26 (d) 7:36
  18. 18.How many degrees does the minute hand of a clock turn in 53 minutes? =
  19. 19.A clock shows 3:17. What time will it show 23 minutes later? (a) 3:30 (b) 4:40 (c) 3:50 (d) 3:40
  20. 20.A clock shows 8:14. What time will it show 63 minutes later? (a) 9:27 (b) 10:17 (c) 9:17 (d) 9:07
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 155 minutes? =
  25. 25.A clock shows 4:50. What time will it show 64 minutes later? (a) 5:44 (b) 5:54 (c) 6:54 (d) 6:04
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 58 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 52 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 67 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 126 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 62 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 100 minutes? =
  36. 36.A clock shows 9:16. What time will it show 112 minutes later? (a) 11:18 (b) 11:08 (c) 12:08 (d) 10:58
  37. 37.A clock shows 8:14. What time will it show 106 minutes later? (a) 9:50 (b) 10:10 (c) 10:00 (d) 11:00
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 3 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 28 minutes? =

Answer key

  1. 264
  2. 28
  3. 73.5
  4. 63.5
  5. 8.5
  6. 52
  7. 130
  8. 12
  9. 354
  10. 83.5
  11. 3:22
  12. 105
  13. 9:01
  14. 57.5
  15. 102
  16. 67
  17. 7:26
  18. 318
  19. 3:40
  20. 9:17
  21. 4.5
  22. 111
  23. 32.5
  24. 77.5
  25. 5:54
  26. 120.5
  27. 348
  28. 312
  29. 155.5
  30. 33.5
  31. 178.5
  32. 110
  33. 63
  34. 31
  35. 50
  36. 11:08
  37. 10:00
  38. 62.5
  39. 18
  40. 168

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