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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 966 · 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 hour hand of a clock turn in 109 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 10 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 13 minutes? =
  7. 7.A clock shows 9:11. What time will it show 149 minutes later? (a) 11:50 (b) 12:40 (c) 11:40 (d) 11:30
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 43 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 50 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 106 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 37 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 50 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  18. 18.A clock shows 1:15. What time will it show 149 minutes later? (a) 3:44 (b) 3:54 (c) 3:34 (d) 4:44
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 39 minutes? =
  21. 21.A clock shows 3:58. What time will it show 102 minutes later? (a) 5:50 (b) 6:40 (c) 5:40 (d) 5:30
  22. 22.How many degrees does the minute hand of a clock turn in 29 minutes? =
  23. 23.A clock shows 4:52. What time will it show 11 minutes later? (a) 6:03 (b) 5:03 (c) 4:53 (d) 5:13
  24. 24.How many degrees does the hour hand of a clock turn in 170 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  27. 27.A clock shows 10:04. What time will it show 34 minutes later? (a) 11:38 (b) 10:48 (c) 10:38 (d) 10:28
  28. 28.How many degrees does the hour hand of a clock turn in 133 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  31. 31.A clock shows 8:11. What time will it show 141 minutes later? (a) 10:42 (b) 10:32 (c) 10:22 (d) 11:32
  32. 32.How many degrees does the minute hand of a clock turn in 16 minutes? =
  33. 33.A clock shows 10:58. What time will it show 31 minutes later? (a) 11:19 (b) 11:29 (c) 11:39 (d) 12:29
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  37. 37.A clock shows 6:08. What time will it show 37 minutes later? (a) 7:45 (b) 6:35 (c) 6:55 (d) 6:45
  38. 38.A clock shows 5:36. What time will it show 99 minutes later? (a) 7:25 (b) 7:05 (c) 7:15 (d) 8:15
  39. 39.A clock shows 11:11. What time will it show 42 minutes later? (a) 12:03 (b) 11:53 (c) 12:53 (d) 11:43
  40. 40.A clock shows 6:14. What time will it show 54 minutes later? (a) 7:18 (b) 8:08 (c) 7:08 (d) 6:58

Answer key

  1. 54.5
  2. 10
  3. 57
  4. 5
  5. 30
  6. 78
  7. 11:40
  8. 6.5
  9. 120
  10. 21.5
  11. 300
  12. 53
  13. 222
  14. 51
  15. 8.5
  16. 25
  17. 99
  18. 3:44
  19. 101
  20. 234
  21. 5:40
  22. 174
  23. 5:03
  24. 85
  25. 47.5
  26. 90
  27. 10:38
  28. 66.5
  29. 48.5
  30. 107
  31. 10:32
  32. 96
  33. 11:29
  34. 93.5
  35. 177
  36. 89
  37. 6:45
  38. 7:15
  39. 11:53
  40. 7:08

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