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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 223 · 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 12:21? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 28 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  6. 6.A clock shows 6:14. What time will it show 80 minutes later? (a) 7:44 (b) 8:34 (c) 7:34 (d) 7:24
  7. 7.How many degrees does the hour hand of a clock turn in 144 minutes? =
  8. 8.A clock shows 3:46. What time will it show 46 minutes later? (a) 4:42 (b) 4:22 (c) 5:32 (d) 4:32
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 15 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 102 minutes? =
  16. 16.A clock shows 2:31. What time will it show 46 minutes later? (a) 3:07 (b) 4:17 (c) 3:17 (d) 3:27
  17. 17.A clock shows 5:00. What time will it show 129 minutes later? (a) 8:09 (b) 7:09 (c) 7:19 (d) 6:59
  18. 18.A clock shows 8:02. What time will it show 127 minutes later? (a) 11:09 (b) 10:19 (c) 9:59 (d) 10:09
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 56 minutes? =
  21. 21.A clock shows 3:11. What time will it show 76 minutes later? (a) 4:37 (b) 4:17 (c) 5:27 (d) 4:27
  22. 22.A clock shows 2:06. What time will it show 30 minutes later? (a) 3:36 (b) 2:26 (c) 2:36 (d) 2:46
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 155 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 47 minutes? =
  27. 27.A clock shows 10:45. What time will it show 109 minutes later? (a) 12:44 (b) 12:24 (c) 1:34 (d) 12:34
  28. 28.How many degrees does the hour hand of a clock turn in 146 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 33 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  34. 34.A clock shows 2:02. What time will it show 66 minutes later? (a) 2:58 (b) 3:08 (c) 3:18 (d) 4:08
  35. 35.A clock shows 12:23. What time will it show 65 minutes later? (a) 2:28 (b) 1:18 (c) 1:38 (d) 1:28
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 153 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 54 minutes? =
  40. 40.A clock shows 2:55. What time will it show 95 minutes later? (a) 5:30 (b) 4:40 (c) 4:30 (d) 4:20

Answer key

  1. 115.5
  2. 28.5
  3. 132
  4. 168
  5. 113
  6. 7:34
  7. 72
  8. 4:32
  9. 72
  10. 136
  11. 141
  12. 90
  13. 138.5
  14. 14.5
  15. 51
  16. 3:17
  17. 7:09
  18. 10:09
  19. 111
  20. 28
  21. 4:27
  22. 2:36
  23. 77.5
  24. 77.5
  25. 34.5
  26. 282
  27. 12:34
  28. 73
  29. 16.5
  30. 140
  31. 18.5
  32. 158
  33. 128.5
  34. 3:08
  35. 1:28
  36. 59.5
  37. 108
  38. 76.5
  39. 324
  40. 4:30

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