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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 723 · 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 22 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  3. 3.A clock shows 2:14. What time will it show 105 minutes later? (a) 3:49 (b) 3:59 (c) 4:09 (d) 4:59
  4. 4.How many degrees does the minute hand of a clock turn in 58 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  6. 6.A clock shows 5:34. What time will it show 146 minutes later? (a) 8:10 (b) 8:00 (c) 9:00 (d) 7:50
  7. 7.A clock shows 4:43. What time will it show 116 minutes later? (a) 6:29 (b) 7:39 (c) 6:39 (d) 6:49
  8. 8.How many degrees does the minute hand of a clock turn in 2 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 24 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 16 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 84 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 45 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 97 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  17. 17.A clock shows 6:57. What time will it show 45 minutes later? (a) 7:42 (b) 7:52 (c) 7:32 (d) 8:42
  18. 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  21. 21.A clock shows 5:27. What time will it show 15 minutes later? (a) 5:32 (b) 5:52 (c) 6:42 (d) 5:42
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  24. 24.A clock shows 8:13. What time will it show 88 minutes later? (a) 9:31 (b) 9:51 (c) 10:41 (d) 9:41
  25. 25.How many degrees does the hour hand of a clock turn in 69 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  27. 27.A clock shows 2:15. What time will it show 18 minutes later? (a) 3:33 (b) 2:33 (c) 2:23 (d) 2:43
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  30. 30.A clock shows 12:01. What time will it show 36 minutes later? (a) 12:27 (b) 12:47 (c) 1:37 (d) 12:37
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  32. 32.A clock shows 4:33. What time will it show 148 minutes later? (a) 7:01 (b) 6:51 (c) 8:01 (d) 7:11
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 30 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 119 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 40 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 8 minutes? =
  39. 39.A clock shows 4:29. What time will it show 87 minutes later? (a) 5:56 (b) 5:46 (c) 6:06 (d) 6:56
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =

Answer key

  1. 132
  2. 39
  3. 3:59
  4. 348
  5. 59.5
  6. 8:00
  7. 6:39
  8. 12
  9. 144
  10. 83.5
  11. 96
  12. 42
  13. 270
  14. 131
  15. 48.5
  16. 107.5
  17. 7:42
  18. 222
  19. 108.5
  20. 124
  21. 5:42
  22. 55.5
  23. 101
  24. 9:41
  25. 34.5
  26. 12
  27. 2:33
  28. 11.5
  29. 81.5
  30. 12:37
  31. 138.5
  32. 7:01
  33. 175
  34. 180
  35. 59.5
  36. 177
  37. 240
  38. 48
  39. 5:56
  40. 165.5

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