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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 71 · 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 1:34? (in degrees) =
  2. 2.A clock shows 1:30. What time will it show 46 minutes later? (a) 2:26 (b) 2:06 (c) 3:16 (d) 2:16
  3. 3.How many degrees does the hour hand of a clock turn in 75 minutes? =
  4. 4.A clock shows 4:00. What time will it show 138 minutes later? (a) 6:18 (b) 7:18 (c) 6:08 (d) 6:28
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  6. 6.A clock shows 11:50. What time will it show 37 minutes later? (a) 12:27 (b) 1:27 (c) 12:17 (d) 12:37
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  9. 9.A clock shows 5:17. What time will it show 29 minutes later? (a) 5:36 (b) 5:56 (c) 5:46 (d) 6:46
  10. 10.How many degrees does the minute hand of a clock turn in 9 minutes? =
  11. 11.A clock shows 1:48. What time will it show 67 minutes later? (a) 2:45 (b) 3:55 (c) 3:05 (d) 2:55
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  14. 14.A clock shows 9:54. What time will it show 21 minutes later? (a) 10:05 (b) 10:25 (c) 10:15 (d) 11:15
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 122 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 178 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 18 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 20 minutes? =
  24. 24.A clock shows 6:27. What time will it show 159 minutes later? (a) 8:56 (b) 9:06 (c) 9:16 (d) 10:06
  25. 25.How many degrees does the minute hand of a clock turn in 8 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  28. 28.A clock shows 11:34. What time will it show 137 minutes later? (a) 1:41 (b) 1:51 (c) 2:51 (d) 2:01
  29. 29.A clock shows 12:53. What time will it show 85 minutes later? (a) 2:08 (b) 3:18 (c) 2:18 (d) 2:28
  30. 30.A clock shows 3:03. What time will it show 101 minutes later? (a) 4:34 (b) 4:54 (c) 4:44 (d) 5:44
  31. 31.A clock shows 6:51. What time will it show 85 minutes later? (a) 8:06 (b) 8:26 (c) 8:16 (d) 9:16
  32. 32.How many degrees does the minute hand of a clock turn in 30 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 16 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
  38. 38.A clock shows 8:10. What time will it show 26 minutes later? (a) 8:26 (b) 9:36 (c) 8:46 (d) 8:36
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =

Answer key

  1. 157
  2. 2:16
  3. 37.5
  4. 6:18
  5. 165
  6. 12:27
  7. 85
  8. 130
  9. 5:46
  10. 54
  11. 2:55
  12. 97.5
  13. 172.5
  14. 10:15
  15. 6.5
  16. 61
  17. 56
  18. 114.5
  19. 80.5
  20. 89
  21. 108
  22. 170
  23. 10
  24. 9:06
  25. 48
  26. 15
  27. 141
  28. 1:51
  29. 2:18
  30. 4:44
  31. 8:16
  32. 180
  33. 8
  34. 47.5
  35. 20
  36. 89.5
  37. 96
  38. 8:36
  39. 166.5
  40. 68

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