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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 452 · 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.A clock shows 7:36. What time will it show 135 minutes later? (a) 10:51 (b) 9:51 (c) 10:01 (d) 9:41
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 141 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 20 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 29 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 7 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  10. 10.A clock shows 3:30. What time will it show 141 minutes later? (a) 6:01 (b) 5:41 (c) 6:51 (d) 5:51
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 16 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  14. 14.A clock shows 6:59. What time will it show 52 minutes later? (a) 8:01 (b) 7:41 (c) 8:51 (d) 7:51
  15. 15.How many degrees does the hour hand of a clock turn in 55 minutes? =
  16. 16.A clock shows 6:44. What time will it show 31 minutes later? (a) 7:15 (b) 8:15 (c) 7:05 (d) 7:25
  17. 17.How many degrees does the minute hand of a clock turn in 48 minutes? =
  18. 18.A clock shows 3:08. What time will it show 79 minutes later? (a) 4:17 (b) 5:27 (c) 4:37 (d) 4:27
  19. 19.How many degrees does the hour hand of a clock turn in 132 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 23 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 45 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  24. 24.A clock shows 4:01. What time will it show 133 minutes later? (a) 7:14 (b) 6:04 (c) 6:24 (d) 6:14
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  27. 27.A clock shows 11:01. What time will it show 71 minutes later? (a) 12:12 (b) 12:02 (c) 12:22 (d) 1:12
  28. 28.How many degrees does the minute hand of a clock turn in 36 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  30. 30.A clock shows 9:36. What time will it show 92 minutes later? (a) 11:08 (b) 10:58 (c) 11:18 (d) 12:08
  31. 31.How many degrees does the hour hand of a clock turn in 32 minutes? =
  32. 32.A clock shows 9:44. What time will it show 21 minutes later? (a) 10:15 (b) 9:55 (c) 11:05 (d) 10:05
  33. 33.A clock shows 10:38. What time will it show 82 minutes later? (a) 12:00 (b) 12:10 (c) 11:50 (d) 1:00
  34. 34.A clock shows 4:25. What time will it show 138 minutes later? (a) 7:43 (b) 6:33 (c) 6:53 (d) 6:43
  35. 35.How many degrees does the minute hand of a clock turn in 13 minutes? =
  36. 36.A clock shows 5:24. What time will it show 168 minutes later? (a) 8:02 (b) 9:12 (c) 8:22 (d) 8:12
  37. 37.How many degrees does the minute hand of a clock turn in 25 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 34 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =

Answer key

  1. 9:51
  2. 155.5
  3. 166.5
  4. 70.5
  5. 120
  6. 174
  7. 42
  8. 34
  9. 59
  10. 5:51
  11. 40
  12. 96
  13. 22.5
  14. 7:51
  15. 27.5
  16. 7:15
  17. 288
  18. 4:27
  19. 66
  20. 138
  21. 145
  22. 270
  23. 116
  24. 6:14
  25. 136.5
  26. 117
  27. 12:12
  28. 216
  29. 141
  30. 11:08
  31. 16
  32. 10:05
  33. 12:00
  34. 6:43
  35. 78
  36. 8:12
  37. 150
  38. 204
  39. 73.5
  40. 104.5

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