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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 901 · 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 9:15? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 16 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  5. 5.A clock shows 1:47. What time will it show 88 minutes later? (a) 4:15 (b) 3:25 (c) 3:05 (d) 3:15
  6. 6.A clock shows 3:42. What time will it show 92 minutes later? (a) 5:04 (b) 5:24 (c) 6:14 (d) 5:14
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  8. 8.A clock shows 7:43. What time will it show 121 minutes later? (a) 9:34 (b) 9:44 (c) 10:44 (d) 9:54
  9. 9.How many degrees does the hour hand of a clock turn in 60 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 45 minutes? =
  11. 11.A clock shows 8:20. What time will it show 28 minutes later? (a) 8:48 (b) 9:48 (c) 8:38 (d) 8:58
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 55 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 59 minutes? =
  19. 19.A clock shows 5:08. What time will it show 80 minutes later? (a) 6:18 (b) 6:28 (c) 7:28 (d) 6:38
  20. 20.A clock shows 5:49. What time will it show 27 minutes later? (a) 6:26 (b) 6:16 (c) 7:16 (d) 6:06
  21. 21.How many degrees does the hour hand of a clock turn in 13 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 31 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 92 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 2 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 76 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 180 minutes? =
  27. 27.A clock shows 12:47. What time will it show 133 minutes later? (a) 3:00 (b) 3:10 (c) 4:00 (d) 2:50
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  30. 30.A clock shows 3:17. What time will it show 58 minutes later? (a) 4:15 (b) 4:05 (c) 4:25 (d) 5:15
  31. 31.How many degrees does the hour hand of a clock turn in 111 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 85 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  39. 39.A clock shows 1:04. What time will it show 76 minutes later? (a) 3:20 (b) 2:30 (c) 2:10 (d) 2:20
  40. 40.How many degrees does the minute hand of a clock turn in 10 minutes? =

Answer key

  1. 172.5
  2. 96
  3. 47
  4. 3
  5. 3:15
  6. 5:14
  7. 17
  8. 9:44
  9. 30
  10. 270
  11. 8:48
  12. 33.5
  13. 10.5
  14. 107
  15. 66
  16. 143
  17. 330
  18. 354
  19. 6:28
  20. 6:16
  21. 6.5
  22. 15.5
  23. 46
  24. 12
  25. 38
  26. 90
  27. 3:00
  28. 121.5
  29. 149.5
  30. 4:15
  31. 55.5
  32. 110.5
  33. 42.5
  34. 170.5
  35. 125.5
  36. 103
  37. 39.5
  38. 175.5
  39. 2:20
  40. 60

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