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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 102 · 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 108 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 65 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 151 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 44 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  13. 13.A clock shows 1:13. What time will it show 94 minutes later? (a) 2:47 (b) 2:57 (c) 2:37 (d) 3:47
  14. 14.How many degrees does the minute hand of a clock turn in 28 minutes? =
  15. 15.A clock shows 11:30. What time will it show 111 minutes later? (a) 1:21 (b) 1:31 (c) 2:21 (d) 1:11
  16. 16.How many degrees does the minute hand of a clock turn in 48 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 53 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  21. 21.A clock shows 11:39. What time will it show 110 minutes later? (a) 1:39 (b) 1:19 (c) 2:29 (d) 1:29
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  23. 23.A clock shows 4:49. What time will it show 59 minutes later? (a) 5:38 (b) 5:58 (c) 5:48 (d) 6:48
  24. 24.How many degrees does the hour hand of a clock turn in 103 minutes? =
  25. 25.A clock shows 5:23. What time will it show 129 minutes later? (a) 7:22 (b) 8:32 (c) 7:32 (d) 7:42
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  27. 27.A clock shows 4:18. What time will it show 42 minutes later? (a) 6:00 (b) 5:00 (c) 5:10 (d) 4:50
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  32. 32.A clock shows 2:58. What time will it show 123 minutes later? (a) 6:01 (b) 5:01 (c) 4:51 (d) 5:11
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  35. 35.A clock shows 10:29. What time will it show 112 minutes later? (a) 1:21 (b) 12:21 (c) 12:31 (d) 12:11
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 54 minutes? =
  38. 38.A clock shows 3:51. What time will it show 118 minutes later? (a) 5:49 (b) 5:59 (c) 6:49 (d) 5:39
  39. 39.How many degrees does the minute hand of a clock turn in 52 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 35 minutes? =

Answer key

  1. 54
  2. 12
  3. 56
  4. 32.5
  5. 75.5
  6. 32
  7. 108
  8. 22
  9. 16
  10. 152.5
  11. 27.5
  12. 48.5
  13. 2:47
  14. 168
  15. 1:21
  16. 288
  17. 78
  18. 26.5
  19. 79.5
  20. 80
  21. 1:29
  22. 128.5
  23. 5:48
  24. 51.5
  25. 7:32
  26. 3
  27. 5:00
  28. 150
  29. 166
  30. 154
  31. 29.5
  32. 5:01
  33. 65.5
  34. 146
  35. 12:21
  36. 102
  37. 324
  38. 5:49
  39. 312
  40. 210

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