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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 486 · 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 2:46. What time will it show 24 minutes later? (a) 3:20 (b) 3:10 (c) 3:00 (d) 4:10
  2. 2.How many degrees does the hour hand of a clock turn in 35 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  4. 4.A clock shows 3:10. What time will it show 157 minutes later? (a) 5:37 (b) 5:57 (c) 6:47 (d) 5:47
  5. 5.How many degrees does the hour hand of a clock turn in 38 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 28 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 55 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  13. 13.A clock shows 4:05. What time will it show 164 minutes later? (a) 6:49 (b) 7:49 (c) 6:59 (d) 6:39
  14. 14.How many degrees does the minute hand of a clock turn in 26 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  16. 16.A clock shows 8:14. What time will it show 155 minutes later? (a) 10:49 (b) 11:49 (c) 10:59 (d) 10:39
  17. 17.A clock shows 11:48. What time will it show 118 minutes later? (a) 2:46 (b) 1:56 (c) 1:46 (d) 1:36
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  20. 20.A clock shows 9:13. What time will it show 35 minutes later? (a) 9:38 (b) 10:48 (c) 9:48 (d) 9:58
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  25. 25.A clock shows 10:06. What time will it show 25 minutes later? (a) 10:31 (b) 10:41 (c) 11:31 (d) 10:21
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  27. 27.A clock shows 3:26. What time will it show 21 minutes later? (a) 3:47 (b) 4:47 (c) 3:37 (d) 3:57
  28. 28.A clock shows 12:19. What time will it show 76 minutes later? (a) 1:25 (b) 1:45 (c) 2:35 (d) 1:35
  29. 29.How many degrees does the minute hand of a clock turn in 53 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 84 minutes? =
  31. 31.A clock shows 7:12. What time will it show 134 minutes later? (a) 10:26 (b) 9:36 (c) 9:26 (d) 9:16
  32. 32.How many degrees does the hour hand of a clock turn in 145 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  36. 36.A clock shows 10:24. What time will it show 66 minutes later? (a) 11:20 (b) 11:40 (c) 12:30 (d) 11:30
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 21 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 17 minutes? =
  40. 40.A clock shows 1:04. What time will it show 106 minutes later? (a) 3:00 (b) 2:40 (c) 3:50 (d) 2:50

Answer key

  1. 3:10
  2. 17.5
  3. 140.5
  4. 5:47
  5. 19
  6. 78
  7. 168
  8. 61.5
  9. 64
  10. 65.5
  11. 330
  12. 65.5
  13. 6:49
  14. 156
  15. 21
  16. 10:49
  17. 1:46
  18. 167.5
  19. 106.5
  20. 9:48
  21. 132
  22. 140
  23. 64
  24. 15.5
  25. 10:31
  26. 19
  27. 3:47
  28. 1:35
  29. 318
  30. 42
  31. 9:26
  32. 72.5
  33. 63
  34. 45.5
  35. 142
  36. 11:30
  37. 68.5
  38. 10.5
  39. 8.5
  40. 2:50

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