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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 678 · 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 5:04? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 13 minutes? =
  3. 3.A clock shows 1:10. What time will it show 81 minutes later? (a) 2:41 (b) 2:31 (c) 2:21 (d) 3:31
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 110 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 48 minutes? =
  7. 7.A clock shows 7:53. What time will it show 146 minutes later? (a) 10:09 (b) 10:29 (c) 11:19 (d) 10:19
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  9. 9.A clock shows 9:40. What time will it show 42 minutes later? (a) 10:12 (b) 10:22 (c) 11:22 (d) 10:32
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  11. 11.A clock shows 9:48. What time will it show 64 minutes later? (a) 11:52 (b) 11:02 (c) 10:52 (d) 10:42
  12. 12.How many degrees does the hour hand of a clock turn in 15 minutes? =
  13. 13.A clock shows 11:46. What time will it show 71 minutes later? (a) 1:07 (b) 12:47 (c) 12:57 (d) 1:57
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  15. 15.A clock shows 10:54. What time will it show 91 minutes later? (a) 12:15 (b) 12:25 (c) 1:25 (d) 12:35
  16. 16.How many degrees does the minute hand of a clock turn in 50 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 14 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 42 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 19 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 48 minutes? =
  24. 24.A clock shows 1:04. What time will it show 43 minutes later? (a) 1:57 (b) 2:47 (c) 1:47 (d) 1:37
  25. 25.How many degrees does the hour hand of a clock turn in 132 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 176 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  28. 28.A clock shows 10:31. What time will it show 159 minutes later? (a) 1:10 (b) 2:10 (c) 1:20 (d) 1:00
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  30. 30.A clock shows 12:56. What time will it show 56 minutes later? (a) 2:52 (b) 1:42 (c) 1:52 (d) 2:02
  31. 31.How many degrees does the minute hand of a clock turn in 45 minutes? =
  32. 32.A clock shows 6:54. What time will it show 112 minutes later? (a) 8:56 (b) 9:46 (c) 8:36 (d) 8:46
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  36. 36.A clock shows 5:37. What time will it show 130 minutes later? (a) 7:47 (b) 8:47 (c) 7:57 (d) 7:37
  37. 37.A clock shows 8:07. What time will it show 17 minutes later? (a) 8:24 (b) 9:24 (c) 8:14 (d) 8:34
  38. 38.A clock shows 11:03. What time will it show 34 minutes later? (a) 11:37 (b) 12:37 (c) 11:47 (d) 11:27
  39. 39.A clock shows 12:16. What time will it show 63 minutes later? (a) 2:19 (b) 1:29 (c) 1:19 (d) 1:09
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =

Answer key

  1. 128
  2. 78
  3. 2:31
  4. 122.5
  5. 55
  6. 24
  7. 10:19
  8. 37.5
  9. 10:22
  10. 133.5
  11. 10:52
  12. 7.5
  13. 12:57
  14. 38
  15. 12:25
  16. 300
  17. 173
  18. 84
  19. 131
  20. 38.5
  21. 21
  22. 114
  23. 288
  24. 1:47
  25. 66
  26. 88
  27. 36.5
  28. 1:10
  29. 151.5
  30. 1:52
  31. 270
  32. 8:46
  33. 123
  34. 131
  35. 52.5
  36. 7:47
  37. 8:24
  38. 11:37
  39. 1:19
  40. 44

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