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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 76 · 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 3:11? (in degrees) =
  2. 2.A clock shows 8:30. What time will it show 57 minutes later? (a) 9:27 (b) 9:17 (c) 9:37 (d) 10:27
  3. 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 43 minutes? =
  5. 5.A clock shows 5:09. What time will it show 131 minutes later? (a) 7:30 (b) 7:10 (c) 7:20 (d) 8:20
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  7. 7.A clock shows 2:46. What time will it show 26 minutes later? (a) 4:12 (b) 3:12 (c) 3:22 (d) 3:02
  8. 8.A clock shows 3:08. What time will it show 26 minutes later? (a) 4:34 (b) 3:44 (c) 3:24 (d) 3:34
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 40 minutes? =
  11. 11.A clock shows 11:16. What time will it show 28 minutes later? (a) 11:34 (b) 11:44 (c) 12:44 (d) 11:54
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 164 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 117 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 12 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  21. 21.A clock shows 3:33. What time will it show 27 minutes later? (a) 5:00 (b) 3:50 (c) 4:00 (d) 4:10
  22. 22.A clock shows 2:34. What time will it show 43 minutes later? (a) 3:07 (b) 4:17 (c) 3:27 (d) 3:17
  23. 23.How many degrees does the minute hand of a clock turn in 20 minutes? =
  24. 24.A clock shows 3:39. What time will it show 102 minutes later? (a) 5:11 (b) 6:21 (c) 5:21 (d) 5:31
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 2 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 79 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  33. 33.A clock shows 12:52. What time will it show 98 minutes later? (a) 2:40 (b) 2:30 (c) 2:20 (d) 3:30
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 44 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 112 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 167 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 11 minutes? =

Answer key

  1. 29.5
  2. 9:27
  3. 42
  4. 258
  5. 7:20
  6. 110
  7. 3:12
  8. 3:34
  9. 142.5
  10. 240
  11. 11:44
  12. 81
  13. 60
  14. 82
  15. 114.5
  16. 24
  17. 58.5
  18. 23.5
  19. 72
  20. 148.5
  21. 4:00
  22. 3:17
  23. 120
  24. 5:21
  25. 66
  26. 85.5
  27. 12
  28. 66.5
  29. 97
  30. 39.5
  31. 0.5
  32. 179
  33. 2:30
  34. 19.5
  35. 264
  36. 179.5
  37. 69
  38. 56
  39. 83.5
  40. 66

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