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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 942 · 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.A clock shows 10:05. What time will it show 73 minutes later? (a) 11:28 (b) 12:18 (c) 11:08 (d) 11:18
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 29 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 90 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 40 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  8. 8.A clock shows 10:00. What time will it show 18 minutes later? (a) 10:08 (b) 11:18 (c) 10:28 (d) 10:18
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  11. 11.A clock shows 6:48. What time will it show 21 minutes later? (a) 7:19 (b) 6:59 (c) 7:09 (d) 8:09
  12. 12.A clock shows 9:59. What time will it show 90 minutes later? (a) 12:29 (b) 11:19 (c) 11:29 (d) 11:39
  13. 13.How many degrees does the minute hand of a clock turn in 17 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 53 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  18. 18.A clock shows 11:33. What time will it show 148 minutes later? (a) 3:01 (b) 2:11 (c) 1:51 (d) 2:01
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 178 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 130 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 49 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 35 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 7 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 14 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 57 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 27 minutes? =
  31. 31.A clock shows 8:18. What time will it show 56 minutes later? (a) 9:04 (b) 10:14 (c) 9:14 (d) 9:24
  32. 32.How many degrees does the hour hand of a clock turn in 22 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 45 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 6 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 69 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 32 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 170 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 75 minutes? =

Answer key

  1. 11:18
  2. 124.5
  3. 14.5
  4. 45
  5. 99.5
  6. 240
  7. 103
  8. 10:18
  9. 53.5
  10. 129.5
  11. 7:09
  12. 11:29
  13. 102
  14. 318
  15. 73.5
  16. 111.5
  17. 120.5
  18. 2:01
  19. 140
  20. 89
  21. 105
  22. 65
  23. 12.5
  24. 294
  25. 17.5
  26. 42
  27. 84
  28. 172.5
  29. 28.5
  30. 13.5
  31. 9:14
  32. 11
  33. 270
  34. 50.5
  35. 36
  36. 34.5
  37. 51
  38. 192
  39. 85
  40. 37.5

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