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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 369 · 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 5:15? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 95 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  4. 4.A clock shows 2:27. What time will it show 94 minutes later? (a) 4:11 (b) 3:51 (c) 5:01 (d) 4:01
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  6. 6.A clock shows 6:05. What time will it show 93 minutes later? (a) 8:38 (b) 7:38 (c) 7:48 (d) 7:28
  7. 7.A clock shows 6:05. What time will it show 57 minutes later? (a) 8:02 (b) 7:12 (c) 7:02 (d) 6:52
  8. 8.A clock shows 3:32. What time will it show 58 minutes later? (a) 4:40 (b) 4:30 (c) 4:20 (d) 5:30
  9. 9.How many degrees does the hour hand of a clock turn in 136 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 7 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:47? (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 7:24? (in degrees) =
  15. 15.A clock shows 6:35. What time will it show 108 minutes later? (a) 8:33 (b) 9:23 (c) 8:13 (d) 8:23
  16. 16.A clock shows 8:14. What time will it show 54 minutes later? (a) 8:58 (b) 9:08 (c) 9:18 (d) 10:08
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  19. 19.A clock shows 4:37. What time will it show 130 minutes later? (a) 6:37 (b) 6:57 (c) 6:47 (d) 7:47
  20. 20.How many degrees does the hour hand of a clock turn in 54 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  22. 22.A clock shows 10:51. What time will it show 38 minutes later? (a) 11:19 (b) 11:39 (c) 12:29 (d) 11:29
  23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
  24. 24.A clock shows 12:57. What time will it show 22 minutes later? (a) 1:19 (b) 1:09 (c) 1:29 (d) 2:19
  25. 25.A clock shows 3:00. What time will it show 20 minutes later? (a) 4:20 (b) 3:10 (c) 3:20 (d) 3:30
  26. 26.A clock shows 6:06. What time will it show 44 minutes later? (a) 6:40 (b) 6:50 (c) 7:00 (d) 7:50
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  28. 28.A clock shows 6:43. What time will it show 50 minutes later? (a) 7:33 (b) 7:43 (c) 7:23 (d) 8:33
  29. 29.How many degrees does the hour hand of a clock turn in 101 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 15 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 45 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 13 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 4 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 96 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 44 minutes? =

Answer key

  1. 67.5
  2. 47.5
  3. 55.5
  4. 4:01
  5. 155.5
  6. 7:38
  7. 7:02
  8. 4:30
  9. 68
  10. 57
  11. 42
  12. 131.5
  13. 10.5
  14. 78
  15. 8:23
  16. 9:08
  17. 79.5
  18. 104
  19. 6:47
  20. 27
  21. 172.5
  22. 11:29
  23. 114
  24. 1:19
  25. 3:20
  26. 6:50
  27. 63
  28. 7:33
  29. 50.5
  30. 90
  31. 170
  32. 164.5
  33. 104.5
  34. 270
  35. 164
  36. 78
  37. 24
  38. 48
  39. 82.5
  40. 264

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