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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 865 · 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 171 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 121 minutes? =
  4. 4.A clock shows 11:17. What time will it show 156 minutes later? (a) 2:53 (b) 2:03 (c) 1:43 (d) 1:53
  5. 5.How many degrees does the minute hand of a clock turn in 40 minutes? =
  6. 6.A clock shows 12:11. What time will it show 68 minutes later? (a) 1:19 (b) 1:29 (c) 1:09 (d) 2:19
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 75 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  10. 10.A clock shows 3:25. What time will it show 112 minutes later? (a) 5:17 (b) 5:07 (c) 5:27 (d) 6:17
  11. 11.How many degrees does the minute hand of a clock turn in 37 minutes? =
  12. 12.A clock shows 7:54. What time will it show 50 minutes later? (a) 9:44 (b) 8:44 (c) 8:54 (d) 8:34
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 14 minutes? =
  15. 15.A clock shows 3:58. What time will it show 42 minutes later? (a) 5:40 (b) 4:50 (c) 4:40 (d) 4:30
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 38 minutes? =
  18. 18.A clock shows 9:58. What time will it show 65 minutes later? (a) 11:03 (b) 11:13 (c) 10:53 (d) 12:03
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 58 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  25. 25.A clock shows 12:41. What time will it show 48 minutes later? (a) 2:29 (b) 1:19 (c) 1:29 (d) 1:39
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 73 minutes? =
  28. 28.A clock shows 8:48. What time will it show 170 minutes later? (a) 12:38 (b) 11:38 (c) 11:28 (d) 11:48
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  33. 33.A clock shows 9:10. What time will it show 78 minutes later? (a) 10:18 (b) 10:38 (c) 11:28 (d) 10:28
  34. 34.How many degrees does the minute hand of a clock turn in 15 minutes? =
  35. 35.A clock shows 4:47. What time will it show 130 minutes later? (a) 7:57 (b) 6:57 (c) 6:47 (d) 7:07
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 90 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 128 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 57 minutes? =

Answer key

  1. 85.5
  2. 88.5
  3. 60.5
  4. 1:53
  5. 240
  6. 1:19
  7. 13.5
  8. 37.5
  9. 105
  10. 5:17
  11. 222
  12. 8:44
  13. 180
  14. 84
  15. 4:40
  16. 117.5
  17. 228
  18. 11:03
  19. 122.5
  20. 54.5
  21. 36.5
  22. 29
  23. 153
  24. 87
  25. 1:29
  26. 20.5
  27. 36.5
  28. 11:38
  29. 128
  30. 83.5
  31. 107.5
  32. 120
  33. 10:28
  34. 90
  35. 6:57
  36. 127
  37. 45
  38. 134.5
  39. 64
  40. 342

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