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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 755 · 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 minute hand of a clock turn in 52 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 18 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 117 minutes? =
  4. 4.A clock shows 1:50. What time will it show 54 minutes later? (a) 2:34 (b) 2:44 (c) 3:44 (d) 2:54
  5. 5.How many degrees does the minute hand of a clock turn in 49 minutes? =
  6. 6.A clock shows 3:23. What time will it show 61 minutes later? (a) 4:34 (b) 4:14 (c) 5:24 (d) 4:24
  7. 7.How many degrees does the minute hand of a clock turn in 34 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  11. 11.A clock shows 8:06. What time will it show 67 minutes later? (a) 9:23 (b) 9:13 (c) 10:13 (d) 9:03
  12. 12.How many degrees does the minute hand of a clock turn in 12 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  15. 15.A clock shows 10:56. What time will it show 18 minutes later? (a) 11:14 (b) 11:24 (c) 12:14 (d) 11:04
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  17. 17.A clock shows 9:03. What time will it show 94 minutes later? (a) 10:47 (b) 11:37 (c) 10:27 (d) 10:37
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  19. 19.A clock shows 5:47. What time will it show 163 minutes later? (a) 8:40 (b) 9:30 (c) 8:20 (d) 8:30
  20. 20.How many degrees does the minute hand of a clock turn in 51 minutes? =
  21. 21.A clock shows 10:26. What time will it show 89 minutes later? (a) 12:05 (b) 11:45 (c) 12:55 (d) 11:55
  22. 22.A clock shows 1:04. What time will it show 104 minutes later? (a) 2:48 (b) 3:48 (c) 2:58 (d) 2:38
  23. 23.A clock shows 3:32. What time will it show 136 minutes later? (a) 5:58 (b) 5:48 (c) 5:38 (d) 6:48
  24. 24.How many degrees does the hour hand of a clock turn in 46 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 164 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 35 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 77 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 47 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 138 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 115 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
  36. 36.A clock shows 1:30. What time will it show 101 minutes later? (a) 3:11 (b) 3:21 (c) 4:11 (d) 3:01
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  39. 39.A clock shows 3:58. What time will it show 134 minutes later? (a) 6:02 (b) 6:22 (c) 7:12 (d) 6:12
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =

Answer key

  1. 312
  2. 108
  3. 58.5
  4. 2:44
  5. 294
  6. 4:24
  7. 204
  8. 50
  9. 138
  10. 99
  11. 9:13
  12. 72
  13. 19.5
  14. 160
  15. 11:14
  16. 46
  17. 10:37
  18. 23.5
  19. 8:30
  20. 306
  21. 11:55
  22. 2:48
  23. 5:48
  24. 23
  25. 44.5
  26. 82
  27. 44.5
  28. 17.5
  29. 38.5
  30. 23.5
  31. 69
  32. 24.5
  33. 57.5
  34. 119
  35. 4.5
  36. 3:11
  37. 159
  38. 26.5
  39. 6:12
  40. 89

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